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Materials Science and Engineering Materials Science and Engineering

Description

In this subject, it is intended that students learn the basics of materials science, the classification of the various families of materials, their properties and applications, and the technology available for the improvement of their properties. In this subject, it is intended that students learn the basics of materials science, the classification of the various families of materials, their properties and applications, and the technology available for the improvement of their properties.Subjects

materials science | materials science | ceramic materials | ceramic materials | mechanical properties | mechanical properties | families of materials | families of materials | phase diagrams | phase diagrams | materails science and engineering | materails science and engineering | ía Mecánica | ía Mecánica | functional properties | functional properties | ía Metalúrgica | ía Metalúrgica | composite materials | composite materials | structure of materials | structure of materials | ía Eléctrica | ía Eléctrica | metallic materials | metallic materials | 2010 | 2010 | polymeric materials | polymeric materials | bonding in solids | bonding in solids | ía Electrónica Industrial y Automática | ía Electrónica Industrial y AutomáticaLicense

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This course explores the basic concepts of computer modeling and simulation in science and engineering. We'll use techniques and software for simulation, data analysis and visualization. Continuum, mesoscale, atomistic and quantum methods are used to study fundamental and applied problems in physics, chemistry, materials science, mechanics, engineering, and biology. Examples drawn from the disciplines above are used to understand or characterize complex structures and materials, and complement experimental observations. This course explores the basic concepts of computer modeling and simulation in science and engineering. We'll use techniques and software for simulation, data analysis and visualization. Continuum, mesoscale, atomistic and quantum methods are used to study fundamental and applied problems in physics, chemistry, materials science, mechanics, engineering, and biology. Examples drawn from the disciplines above are used to understand or characterize complex structures and materials, and complement experimental observations.Subjects

computer modeling | computer modeling | discrete particle system | discrete particle system | continuum | continuum | continuum field | continuum field | statistical sampling | statistical sampling | data analysis | data analysis | visualization | visualization | quantum | quantum | quantum method | quantum method | chemical | chemical | molecular dynamics | molecular dynamics | Monte Carlo | Monte Carlo | mesoscale | mesoscale | continuum method | continuum method | computational physics | computational physics | chemistry | chemistry | mechanics | mechanics | materials science | materials science | biology | biology | applied mathematics | applied mathematics | fluid dynamics | fluid dynamics | heat | heat | fractal | fractal | evolution | evolution | melting | melting | gas | gas | structural mechanics | structural mechanics | FEM | FEM | finite element | finite elementLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course presents the concepts and techniques for solving partial differential equations (pde), with emphasis on nonlinear pde. This course presents the concepts and techniques for solving partial differential equations (pde), with emphasis on nonlinear pde.Subjects

partial differential equations (pde) | partial differential equations (pde) | nonlinear pde | nonlinear pde | Diffusion | Diffusion | dispersion | dispersion | Initial and boundary value problems | Initial and boundary value problems | Characteristics and shocks | Characteristics and shocks | Separation of variables | Separation of variables | transform methods | transform methods | Green's functions | Green's functions | Asymptotics | Asymptotics | geometrical theory | geometrical theory | Dimensional analysis | Dimensional analysis | self-similarity | self-similarity | traveling waves | traveling waves | Singular perturbation and boundary layers | Singular perturbation and boundary layers | Solitons | Solitons | Variational methods | Variational methods | Free-boundary problems | Free-boundary problems | fluid dynamics | fluid dynamics | electrical engineering | electrical engineering | mechanical engineering | mechanical engineering | materials science | materials science | quantum mechanics | quantum mechanicsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course surveys the basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. It covers techniques and software for statistical sampling, simulation, data analysis and visualization, and uses statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications are drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal footing with theory and experiment. A term project allows development of individual interests. Students are mentor This course surveys the basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. It covers techniques and software for statistical sampling, simulation, data analysis and visualization, and uses statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications are drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal footing with theory and experiment. A term project allows development of individual interests. Students are mentorSubjects

computer modeling | computer modeling | discrete particle system | discrete particle system | continuum | continuum | continuum field | continuum field | statistical sampling | statistical sampling | data analysis | data analysis | visualization | visualization | quantum | quantum | quantum method | quantum method | chemical | chemical | molecular dynamics | molecular dynamics | Monte Carlo | Monte Carlo | mesoscale | mesoscale | continuum method | continuum method | computational physics | computational physics | chemistry | chemistry | mechanics | mechanics | materials science | materials science | biology; applied mathematics | biology; applied mathematics | fluid dynamics | fluid dynamics | heat | heat | fractal | fractal | evolution | evolution | melting | melting | gas | gas | structural mechanics | structural mechanics | FEM | FEM | finite element | finite element | biology | biology | applied mathematics | applied mathematics | 1.021 | 1.021 | 2.030 | 2.030 | 3.021 | 3.021 | 10.333 | 10.333 | 18.361 | 18.361 | HST.588 | HST.588 | 22.00 | 22.00License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Analysis and design at a molecular scale of materials used in contact with biological systems, including biotechnology and biomedical engineering. Topics include molecular interactions between bio- and synthetic molecules and surfaces; design, synthesis, and processing approaches for materials that control cell functions; and application of state-of-the-art materials science to problems in tissue engineering, drug delivery, biosensors, and cell-guiding surfaces.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files.Microsoft® is a registered trademark or trademark of Microsoft Corporation in the U.S Analysis and design at a molecular scale of materials used in contact with biological systems, including biotechnology and biomedical engineering. Topics include molecular interactions between bio- and synthetic molecules and surfaces; design, synthesis, and processing approaches for materials that control cell functions; and application of state-of-the-art materials science to problems in tissue engineering, drug delivery, biosensors, and cell-guiding surfaces.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files.Microsoft® is a registered trademark or trademark of Microsoft Corporation in the U.SSubjects

Analysis | Analysis | design | design | molecular scale | molecular scale | biological systems | biological systems | biotechnology | biotechnology | biomedical engineering | biomedical engineering | molecular interactions | molecular interactions | synthetic molecules | synthetic molecules | synthesis | synthesis | processing approaches | processing approaches | cell functions | cell functions | materials science | materials science | tissue engineering | tissue engineering | drug delivery | drug delivery | biosensors | biosensors | cell-guiding surfaces | cell-guiding surfaces | 3.962J | 3.962J | BE.462 | BE.462 | 3.962 | 3.962License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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Analysis and design at a molecular scale of materials used in contact with biological systems, including biotechnology and biomedical engineering. Topics include molecular interactions between bio- and synthetic molecules and surfaces; design, synthesis, and processing approaches for materials that control cell functions; and application of state-of-the-art materials science to problems in tissue engineering, drug delivery, biosensors, and cell-guiding surfaces.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files.Microsoft® is a registered trademark or trademark of Microsoft Corporation in the U.S Analysis and design at a molecular scale of materials used in contact with biological systems, including biotechnology and biomedical engineering. Topics include molecular interactions between bio- and synthetic molecules and surfaces; design, synthesis, and processing approaches for materials that control cell functions; and application of state-of-the-art materials science to problems in tissue engineering, drug delivery, biosensors, and cell-guiding surfaces.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files.Microsoft® is a registered trademark or trademark of Microsoft Corporation in the U.SSubjects

Analysis | Analysis | design | design | molecular scale | molecular scale | biological systems | biological systems | biotechnology | biotechnology | biomedical engineering | biomedical engineering | molecular interactions | molecular interactions | synthetic molecules | synthetic molecules | synthesis | synthesis | processing approaches | processing approaches | cell functions | cell functions | materials science | materials science | tissue engineering | tissue engineering | drug delivery | drug delivery | biosensors | biosensors | cell-guiding surfaces | cell-guiding surfaces | BE.462J | BE.462J | BE.462 | BE.462 | 3.962 | 3.962License

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See all metadata3.012 Fundamentals of Materials Science (MIT) 3.012 Fundamentals of Materials Science (MIT)

Description

This subject describes the fundamentals of bonding, energetics, and structure that underpin materials science. From electrons to silicon to DNA: the role of electronic bonding in determining the energy, structure, and stability of materials. Quantum mechanical descriptions of interacting electrons and atoms. Symmetry properties of molecules and solids. Structure of complex and disordered materials. Introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to molecular models of materials. Develops basis for understanding a broad range of materials phenomena, from heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism. Fundamentals are taught using real-world examples such as engineered all This subject describes the fundamentals of bonding, energetics, and structure that underpin materials science. From electrons to silicon to DNA: the role of electronic bonding in determining the energy, structure, and stability of materials. Quantum mechanical descriptions of interacting electrons and atoms. Symmetry properties of molecules and solids. Structure of complex and disordered materials. Introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to molecular models of materials. Develops basis for understanding a broad range of materials phenomena, from heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism. Fundamentals are taught using real-world examples such as engineered allSubjects

fundamentals of bonding | energetics | and structure | fundamentals of bonding | energetics | and structure | Quantum mechanical descriptions of interacting electrons and atoms | Quantum mechanical descriptions of interacting electrons and atoms | Symmetry properties of molecules and solids | Symmetry properties of molecules and solids | complex and disordered materials | complex and disordered materials | thermodynamic functions | thermodynamic functions | equilibrium properties | equilibrium properties | macroscopic behavior | macroscopic behavior | molecular models | molecular models | heat capacities | heat capacities | phase transformations | phase transformations | multiphase equilibria | multiphase equilibria | chemical reactions | chemical reactions | magnetism | magnetism | engineered alloys | engineered alloys | electronic and magnetic materials | electronic and magnetic materials | ionic and network solids | ionic and network solids | polymers | polymers | biomaterials | biomaterials | energetics | energetics | structure | structure | materials science | materials science | electrons | electrons | silicon | silicon | DNA | DNA | electronic bonding | electronic bonding | energy | energy | stability | stability | quantum mechanics | quantum mechanics | atoms | atoms | interactions | interactions | symmetry | symmetry | molecules | molecules | solids | solids | complex material | complex material | disorderd materials | disorderd materials | thermodynamic laws | thermodynamic laws | electronic materials | electronic materials | magnetic materials | magnetic materials | ionic solids | ionic solids | network solids | network solids | statistical mechanics | statistical mechanics | microstates | microstates | microscopic complexity | microscopic complexity | entropy | entropyLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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The class will cover mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from 3.012 to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, fourier analysis and random walks.Technical RequirementsMathematica® software is required to run the .nb files found on this course site. The class will cover mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from 3.012 to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, fourier analysis and random walks.Technical RequirementsMathematica® software is required to run the .nb files found on this course site.Subjects

energetics | energetics | materials structure and symmetry: applied fields | materials structure and symmetry: applied fields | mechanics and physics of solids and soft materials | mechanics and physics of solids and soft materials | linear algebra | linear algebra | orthonormal basis | orthonormal basis | eigenvalues | eigenvalues | eigenvectors | eigenvectors | quadratic forms | quadratic forms | tensor operations | tensor operations | symmetry operations | symmetry operations | calculus | calculus | complex analysis | complex analysis | differential equations | differential equations | theory of distributions | theory of distributions | fourier analysis | fourier analysis | random walks | random walks | mathematical technicques | mathematical technicques | materials science | materials science | materials engineering | materials engineering | materials structure | materials structure | symmetry | symmetry | applied fields | applied fields | materials response | materials response | solids mechanics | solids mechanics | solids physics | solids physics | soft materials | soft materials | multi-variable calculus | multi-variable calculus | ordinary differential equations | ordinary differential equations | partial differential equations | partial differential equations | applied mathematics | applied mathematics | mathematical techniques | mathematical techniquesLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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1.033 provides an introduction to continuum mechanics and material modeling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modeling and design of a large range of engineering materials. This course is offered both to undergraduate (1.033) and graduate (1.57) students. 1.033 provides an introduction to continuum mechanics and material modeling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modeling and design of a large range of engineering materials. This course is offered both to undergraduate (1.033) and graduate (1.57) students.Subjects

continuum mechanics | continuum mechanics | material modeling | material modeling | engineering materials | engineering materials | energy principles: deformation and strain | energy principles: deformation and strain | momentum balance | momentum balance | stress | stress | stress states | stress states | elasticity and elasticity bounds | elasticity and elasticity bounds | plasticity | plasticity | yield design | yield design | first energy principles | first energy principles | deformation | deformation | strain | strain | elasticity bounds | elasticity bounds | unified mechanistic language | unified mechanistic language | thermodynamics | thermodynamics | engineering structures | engineering structures | unified framework | unified framework | irreversible processes | irreversible processes | structural engineering | structural engineering | soil mechanics | soil mechanics | mechanical engineering | mechanical engineering | materials science | materials science | solids | solids | durability mechanics | durability mechanicsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor C This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor CSubjects

energetics | energetics | visualization | visualization | graph | graph | plot | plot | chart | chart | materials science | materials science | DMSE | DMSE | structure | structure | symmetry | symmetry | mechanics | mechanics | physicss | physicss | solids and soft materials | solids and soft materials | linear algebra | linear algebra | orthonormal basis | orthonormal basis | eigenvalue | eigenvalue | eigenvector | eigenvector | quadratic form | quadratic form | tensor operation | tensor operation | symmetry operation | symmetry operation | calculus | calculus | complex analysis | complex analysis | differential equations | differential equations | ODE | ODE | solution | solution | vector | vector | matrix | matrix | determinant | determinant | theory of distributions | theory of distributions | fourier analysis | fourier analysis | random walk | random walk | Mathematica | Mathematica | simulation | simulationLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata22.14 Materials in Nuclear Engineering (MIT) 22.14 Materials in Nuclear Engineering (MIT)

Description

In this course, we will lay the foundation for understanding how materials behave in nuclear systems. In particular, we will build on a solid base of nuclear material fundamentals in order to understand radiation damage and effects in fuels and structural materials. This course consists of a series of directed readings, lectures on video, problem sets, short research projects, and class discussions with worked examples. We will start with an overview of nuclear materials, where they are found in nuclear systems, and how they fail. We will then develop the formalism in crystallography as a common language for materials scientists everywhere. This will be followed by the development of phase diagrams from thermodynamics, which predict how binary alloy systems evolve towards equilibrium. Then In this course, we will lay the foundation for understanding how materials behave in nuclear systems. In particular, we will build on a solid base of nuclear material fundamentals in order to understand radiation damage and effects in fuels and structural materials. This course consists of a series of directed readings, lectures on video, problem sets, short research projects, and class discussions with worked examples. We will start with an overview of nuclear materials, where they are found in nuclear systems, and how they fail. We will then develop the formalism in crystallography as a common language for materials scientists everywhere. This will be followed by the development of phase diagrams from thermodynamics, which predict how binary alloy systems evolve towards equilibrium. ThenSubjects

radiation materials science | radiation materials science | radiation damage to materials | radiation damage to materials | radiation induced segregation | radiation induced segregation | void swelling | void swelling | radiation induced hardening | radiation induced hardening | radiation induced embrittlement | radiation induced embrittlement | nuclear power plant | nuclear power plant | phase diagram | phase diagram | defects | defects | deformation | deformation | radiation effects | radiation effects | irradiation | irradiationLicense

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La asignatura aporta los conocimientos básicos sobre principios fundamentales, técnicas operatorias y aplicación de las principales técnicas de caracterización de materiales utilizadas en investigación científica y en la industria. Esta asignatura contribuye en el curriculo formativo del alumno desarrollando los conocimientos básicos para identificar y cuantificar las propiedades de los materiales en sus diferentes entornos de aplicación. Los objetivos docentes son: - Conocimiento de las técnicas relevantes en investigación sobre materiales. - Desarrollo de criterios de trabajo con las técnicas en función de la aplicación. - Selección de las técnicas y condiciones de muestra con preparación de las mismas. - Preparación de planes de análisis de materiales para su identifSubjects

Z-POSGRADO | CIENCIA DE LOS MATERIALES E INGENIERIA METALURGICA | materials characterization | materials properties | materials science | microscopyLicense

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See all metadata1.033 Mechanics of Material Systems: An Energy Approach (MIT)

Description

1.033 provides an introduction to continuum mechanics and material modeling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modeling and design of a large range of engineering materials. This course is offered both to undergraduate (1.033) and graduate (1.57) students.Subjects

continuum mechanics | material modeling | engineering materials | energy principles: deformation and strain | momentum balance | stress | stress states | elasticity and elasticity bounds | plasticity | yield design | first energy principles | deformation | strain | elasticity bounds | unified mechanistic language | thermodynamics | engineering structures | unified framework | irreversible processes | structural engineering | soil mechanics | mechanical engineering | materials science | solids | durability mechanicsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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An introduction to alloys, comprising a learning context and associated assessment.Subjects

metals | alloys | materials science | Physical Sciences | Technologies | MATHEMATICS | OIL / MINING / PLASTICS / CHEMICALS | Assessment | Students | UK EL05 = SCQF 5 | Intermediate level | Intermediate | NICAT 2 | CQFW 2 | Intermediate | GSCE A-C | NVQ 2 | | Physical sciences | F000 | J000 | SCIENCES and MATHEMATICS | Y | RLicense

Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales Attribution-Noncommercial-Share Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ http://creativecommons.org/licenses/by-nc-sa/2.0/uk/Site sourced from

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Mechanics studies how forces affect bodies in motionâ€”how, for example, a bullet is fired from a gun, or a top is set in motion by the flick of a wrist. This course will introduce the student to the core concepts of mechanics as applied to design, testing, and manufacture of safe and reliable products. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mechanical Engineering 102)Subjects

statics | vectors | force | equilibrium | friction | materials science | inertia | Engineering | H000License

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See all metadata3.021J Introduction to Modeling and Simulation (MIT)

Description

This course explores the basic concepts of computer modeling and simulation in science and engineering. We'll use techniques and software for simulation, data analysis and visualization. Continuum, mesoscale, atomistic and quantum methods are used to study fundamental and applied problems in physics, chemistry, materials science, mechanics, engineering, and biology. Examples drawn from the disciplines above are used to understand or characterize complex structures and materials, and complement experimental observations.Subjects

computer modeling | discrete particle system | continuum | continuum field | statistical sampling | data analysis | visualization | quantum | quantum method | chemical | molecular dynamics | Monte Carlo | mesoscale | continuum method | computational physics | chemistry | mechanics | materials science | biology | applied mathematics | fluid dynamics | heat | fractal | evolution | melting | gas | structural mechanics | FEM | finite elementLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata18.306 Advanced Partial Differential Equations with Applications (MIT)

Description

This course presents the concepts and techniques for solving partial differential equations (pde), with emphasis on nonlinear pde.Subjects

partial differential equations (pde) | nonlinear pde | Diffusion | dispersion | Initial and boundary value problems | Characteristics and shocks | Separation of variables | transform methods | Green's functions | Asymptotics | geometrical theory | Dimensional analysis | self-similarity | traveling waves | Singular perturbation and boundary layers | Solitons | Variational methods | Free-boundary problems | fluid dynamics | electrical engineering | mechanical engineering | materials science | quantum mechanicsLicense

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata22.00J Introduction to Modeling and Simulation (MIT)

Description

This course surveys the basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. It covers techniques and software for statistical sampling, simulation, data analysis and visualization, and uses statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications are drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal footing with theory and experiment. A term project allows development of individual interests. Students are mentorSubjects

computer modeling | discrete particle system | continuum | continuum field | statistical sampling | data analysis | visualization | quantum | quantum method | chemical | molecular dynamics | Monte Carlo | mesoscale | continuum method | computational physics | chemistry | mechanics | materials science | biology; applied mathematics | fluid dynamics | heat | fractal | evolution | melting | gas | structural mechanics | FEM | finite element | biology | applied mathematics | 1.021 | 2.030 | 3.021 | 10.333 | 18.361 | HST.588 | 22.00License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadataBE.462J Molecular Principles of Biomaterials (MIT)

Description

Analysis and design at a molecular scale of materials used in contact with biological systems, including biotechnology and biomedical engineering. Topics include molecular interactions between bio- and synthetic molecules and surfaces; design, synthesis, and processing approaches for materials that control cell functions; and application of state-of-the-art materials science to problems in tissue engineering, drug delivery, biosensors, and cell-guiding surfaces.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files.Microsoft® is a registered trademark or trademark of Microsoft Corporation in the U.SSubjects

Analysis | design | molecular scale | biological systems | biotechnology | biomedical engineering | molecular interactions | synthetic molecules | synthesis | processing approaches | cell functions | materials science | tissue engineering | drug delivery | biosensors | cell-guiding surfaces | 3.962J | BE.462 | 3.962License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htmSite sourced from

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See all metadata20.462J Molecular Principles of Biomaterials (BE.462J) (MIT)

Description

Analysis and design at a molecular scale of materials used in contact with biological systems, including biotechnology and biomedical engineering. Topics include molecular interactions between bio- and synthetic molecules and surfaces; design, synthesis, and processing approaches for materials that control cell functions; and application of state-of-the-art materials science to problems in tissue engineering, drug delivery, biosensors, and cell-guiding surfaces.Technical RequirementsMicrosoft® Excel software is recommended for viewing the .xls files found on this course site. Free Microsoft® Excel viewer software can also be used to view the .xls files.Microsoft® is a registered trademark or trademark of Microsoft Corporation in the U.SSubjects

Analysis | design | molecular scale | biological systems | biotechnology | biomedical engineering | molecular interactions | synthetic molecules | synthesis | processing approaches | cell functions | materials science | tissue engineering | drug delivery | biosensors | cell-guiding surfaces | BE.462J | BE.462 | 3.962License

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See all metadata3.012 Fundamentals of Materials Science (MIT)

Description

This subject describes the fundamentals of bonding, energetics, and structure that underpin materials science. From electrons to silicon to DNA: the role of electronic bonding in determining the energy, structure, and stability of materials. Quantum mechanical descriptions of interacting electrons and atoms. Symmetry properties of molecules and solids. Structure of complex and disordered materials. Introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to molecular models of materials. Develops basis for understanding a broad range of materials phenomena, from heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism. Fundamentals are taught using real-world examples such as engineered allSubjects

fundamentals of bonding | energetics | and structure | Quantum mechanical descriptions of interacting electrons and atoms | Symmetry properties of molecules and solids | complex and disordered materials | thermodynamic functions | equilibrium properties | macroscopic behavior | molecular models | heat capacities | phase transformations | multiphase equilibria | chemical reactions | magnetism | engineered alloys | electronic and magnetic materials | ionic and network solids | polymers | biomaterials | energetics | structure | materials science | electrons | silicon | DNA | electronic bonding | energy | stability | quantum mechanics | atoms | interactions | symmetry | molecules | solids | complex material | disorderd materials | thermodynamic laws | electronic materials | magnetic materials | ionic solids | network solids | statistical mechanics | microstates | microscopic complexity | entropyLicense

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See all metadata3.016 Mathematics for Materials Scientists and Engineers (MIT)

Description

The class will cover mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from 3.012 to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, fourier analysis and random walks.Technical RequirementsMathematica® software is required to run the .nb files found on this course site.Subjects

energetics | materials structure and symmetry: applied fields | mechanics and physics of solids and soft materials | linear algebra | orthonormal basis | eigenvalues | eigenvectors | quadratic forms | tensor operations | symmetry operations | calculus | complex analysis | differential equations | theory of distributions | fourier analysis | random walks | mathematical technicques | materials science | materials engineering | materials structure | symmetry | applied fields | materials response | solids mechanics | solids physics | soft materials | multi-variable calculus | ordinary differential equations | partial differential equations | applied mathematics | mathematical techniquesLicense

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See all metadata1.033 Mechanics of Material Systems: An Energy Approach (MIT)

Description

1.033 provides an introduction to continuum mechanics and material modeling of engineering materials based on first energy principles: deformation and strain; momentum balance, stress and stress states; elasticity and elasticity bounds; plasticity and yield design. The overarching theme is a unified mechanistic language using thermodynamics, which allows understanding, modeling and design of a large range of engineering materials. This course is offered both to undergraduate (1.033) and graduate (1.57) students.Subjects

continuum mechanics | material modeling | engineering materials | energy principles: deformation and strain | momentum balance | stress | stress states | elasticity and elasticity bounds | plasticity | yield design | first energy principles | deformation | strain | elasticity bounds | unified mechanistic language | thermodynamics | engineering structures | unified framework | irreversible processes | structural engineering | soil mechanics | mechanical engineering | materials science | solids | durability mechanicsLicense

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See all metadata22.14 Materials in Nuclear Engineering (MIT)

Description

In this course, we will lay the foundation for understanding how materials behave in nuclear systems. In particular, we will build on a solid base of nuclear material fundamentals in order to understand radiation damage and effects in fuels and structural materials. This course consists of a series of directed readings, lectures on video, problem sets, short research projects, and class discussions with worked examples. We will start with an overview of nuclear materials, where they are found in nuclear systems, and how they fail. We will then develop the formalism in crystallography as a common language for materials scientists everywhere. This will be followed by the development of phase diagrams from thermodynamics, which predict how binary alloy systems evolve towards equilibrium. ThenSubjects

radiation materials science | radiation damage to materials | radiation induced segregation | void swelling | radiation induced hardening | radiation induced embrittlement | nuclear power plant | phase diagram | defects | deformation | radiation effects | irradiationLicense

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See all metadata3.016 Mathematics for Materials Scientists and Engineers (MIT)

Description

This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor CSubjects

energetics | visualization | graph | plot | chart | materials science | DMSE | structure | symmetry | mechanics | physicss | solids and soft materials | linear algebra | orthonormal basis | eigenvalue | eigenvector | quadratic form | tensor operation | symmetry operation | calculus | complex analysis | differential equations | ODE | solution | vector | matrix | determinant | theory of distributions | fourier analysis | random walk | Mathematica | simulationLicense

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