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3.032 Mechanical Behavior of Materials (MIT) 3.032 Mechanical Behavior of Materials (MIT)

Description

Here we will learn about the mechanical behavior of structures and materials, from the continuum description of properties to the atomistic and molecular mechanisms that confer those properties to all materials. We will cover elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and (bio)polymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. Integrated laboratories provide the opportunity to explore these concepts through hands-on experiments including instrumentation of pressure vessels, visualization of atomistic deformation in bubble rafts, nanoindentation, and uniaxial mechanical testing, as well as writing assignments to communicate th Here we will learn about the mechanical behavior of structures and materials, from the continuum description of properties to the atomistic and molecular mechanisms that confer those properties to all materials. We will cover elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and (bio)polymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. Integrated laboratories provide the opportunity to explore these concepts through hands-on experiments including instrumentation of pressure vessels, visualization of atomistic deformation in bubble rafts, nanoindentation, and uniaxial mechanical testing, as well as writing assignments to communicate th

Subjects

Basic concepts of solid mechanics and mechanical behavior of materials | Basic concepts of solid mechanics and mechanical behavior of materials | stress-strain relationships | stress-strain relationships | stress transformation | stress transformation | elasticity | elasticity | plasticity and fracture. Case studies include materials selection for bicycle frames | plasticity and fracture. Case studies include materials selection for bicycle frames | stress shielding in biomedical implants; residual stresses in thin films; and ancient materials. Lab experiments and demonstrations give hands-on experience of the physical concepts at a variety of length scales. Use of facilities for measuring mechanical properties including standard mechanical tests | stress shielding in biomedical implants; residual stresses in thin films; and ancient materials. Lab experiments and demonstrations give hands-on experience of the physical concepts at a variety of length scales. Use of facilities for measuring mechanical properties including standard mechanical tests | bubble raft models | bubble raft models | atomic force microscopy and nanoindentation. | atomic force microscopy and nanoindentation. | plasticity and fracture | plasticity and fracture | Case studies | Case studies | materials selection | materials selection | bicycle frames | bicycle frames | stress shielding in biomedical implants | stress shielding in biomedical implants | residual stresses in thin films | residual stresses in thin films | ancient materials | ancient materials | standard mechanical tests | standard mechanical tests | solid mechanics | solid mechanics | mechanical behavior of materials | mechanical behavior of materials

License

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1.050 Solid Mechanics (MIT) 1.050 Solid Mechanics (MIT)

Description

Includes audio/video content: AV faculty introductions. 1.050 is a sophomore-level engineering mechanics course, commonly labelled "Statics and Strength of Materials" or "Solid Mechanics I." This course introduces students to the fundamental principles and methods of structural mechanics. Topics covered include: static equilibrium, force resultants, support conditions, analysis of determinate planar structures (beams, trusses, frames), stresses and strains in structural elements, states of stress (shear, bending, torsion), statically indeterminate systems, displacements and deformations, introduction to matrix methods, elastic stability, and approximate methods. Design exercises are used to encourage creative student initiative and systems thinking. Includes audio/video content: AV faculty introductions. 1.050 is a sophomore-level engineering mechanics course, commonly labelled "Statics and Strength of Materials" or "Solid Mechanics I." This course introduces students to the fundamental principles and methods of structural mechanics. Topics covered include: static equilibrium, force resultants, support conditions, analysis of determinate planar structures (beams, trusses, frames), stresses and strains in structural elements, states of stress (shear, bending, torsion), statically indeterminate systems, displacements and deformations, introduction to matrix methods, elastic stability, and approximate methods. Design exercises are used to encourage creative student initiative and systems thinking.

Subjects

solid mechanics | solid mechanics | engineering design | engineering design | open ended exercises | open ended exercises | matrix analysis of structures | matrix analysis of structures | structural mechanics | structural mechanics | static equilibrium | static equilibrium | force resultants | force resultants | support conditions | support conditions | determinate planar structures | determinate planar structures | beams | beams | trusses | trusses | frames | frames | stress | stress | strain | strain | shear | shear | bending | bending | torsion | torsion | matrix methods | matrix methods | elastic stability | elastic stability | design exercises | design exercises | interactive exercises | interactive exercises | systems thinking | systems thinking

License

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1.105 Solid Mechanics Laboratory (MIT) 1.105 Solid Mechanics Laboratory (MIT)

Description

This course introduces students to basic properties of structural materials and behavior of simple structural elements and systems through a series of experiments. Students learn experimental technique, data collection, reduction and analysis, and presentation of results. Students generally take this subject during the same semester as 1.050, Solid Mechanics. This course introduces students to basic properties of structural materials and behavior of simple structural elements and systems through a series of experiments. Students learn experimental technique, data collection, reduction and analysis, and presentation of results. Students generally take this subject during the same semester as 1.050, Solid Mechanics.

Subjects

properties of structural materials | properties of structural materials | structural elements | structural elements | structural systems | structural systems | experimental technique | experimental technique | data collection | data collection | reduction | reduction | analysis | analysis | presentation | presentation | properties | properties | structural materials | structural materials | structural behavior | structural behavior | simple structural elements | simple structural elements | simple structural systems | simple structural systems | laboratory experiments | laboratory experiments | data reduction | data reduction | data analysis | data analysis | solid mechanics | solid mechanics | loading | loading | observation | observation | measurement | measurement | force | force | displacement | displacement | stiffness | stiffness | failure modes | failure modes | failure mechanisms | failure mechanisms | instrumentation | instrumentation | resolution | resolution | range | range | transducer response | transducer response | signal conditioning | signal conditioning | experimental design | experimental design | report writing | report writing

License

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.htm

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2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations (MIT) 2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations (MIT)

Description

This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discrete computational geometry, graph theory, optimization techniques, calculus of variations and linear algebra. The topics covered in any particular year depend on the interest of the students and instructor. Emphasis is on basic ideas and on applications in mechanical engineering. This year, the subject focuses on selected topics from linear algebra and the calculus of variations. It is aimed mainly (but not exclusively) at students aiming to study mechanics (solid mechanics, fluid mechanics, energy methods etc.), and the course introduces some of the mathematical tools used in these subjects. App This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discrete computational geometry, graph theory, optimization techniques, calculus of variations and linear algebra. The topics covered in any particular year depend on the interest of the students and instructor. Emphasis is on basic ideas and on applications in mechanical engineering. This year, the subject focuses on selected topics from linear algebra and the calculus of variations. It is aimed mainly (but not exclusively) at students aiming to study mechanics (solid mechanics, fluid mechanics, energy methods etc.), and the course introduces some of the mathematical tools used in these subjects. App

Subjects

calculus of variations | calculus of variations | linear algebra | linear algebra | solid mechanics | solid mechanics | fluid mechanics | fluid mechanics | energy methods | energy methods | microstructures of crystalline | microstructures of crystalline

License

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16.20 Structural Mechanics (MIT) 16.20 Structural Mechanics (MIT)

Description

Applies solid mechanics to analysis of high-technology structures. Structural design considerations. Review of three-dimensional elasticity theory; stress, strain, anisotropic materials, and heating effects. Two-dimensional plane stress and plane strain problems. Torsion theory for arbitrary sections. Bending of unsymmetrical section and mixed material beams. Bending, shear, and torsion of thin-wall shell beams. Buckling of columns and stability phenomena. Introduction to structural dynamics. Exercises in the design of general and aerospace structures. Applies solid mechanics to analysis of high-technology structures. Structural design considerations. Review of three-dimensional elasticity theory; stress, strain, anisotropic materials, and heating effects. Two-dimensional plane stress and plane strain problems. Torsion theory for arbitrary sections. Bending of unsymmetrical section and mixed material beams. Bending, shear, and torsion of thin-wall shell beams. Buckling of columns and stability phenomena. Introduction to structural dynamics. Exercises in the design of general and aerospace structures.

Subjects

solid mechanics | solid mechanics | high-technology structures | high-technology structures | Structural design considerations | Structural design considerations | three-dimensional elasticity theory | three-dimensional elasticity theory | stress | stress | strain | strain | anisotropic materials | anisotropic materials | heating effects | heating effects | torsion theory | torsion theory | Bending | Bending | shear | shear | Buckling | Buckling | stability phenomena | stability phenomena | structural dynamics | structural dynamics

License

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18.307 Integral Equations (MIT) 18.307 Integral Equations (MIT)

Description

This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications. This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.

Subjects

integral equations | integral equations | applied mathematics | applied mathematics | Volterra equation | Volterra equation | Fredholm equation | Fredholm equation | Fredholm theory | Fredholm theory | Hilbert-Schmidt theorem | Hilbert-Schmidt theorem | Wiener-Hopf Method | Wiener-Hopf Method | partial differential equations | partial differential equations | Hilbert Problem | Hilbert Problem | ingular integral equations | ingular integral equations | Cauchy type | Cauchy type | inverse scattering transform | inverse scattering transform | group theory | group theory | fluid mechanics | fluid mechanics | solid mechanics | solid mechanics | acoustics | acoustics | quantum mechanics | quantum mechanics

License

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.htm

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3.032 Mechanical Behavior of Materials (MIT)

Description

Here we will learn about the mechanical behavior of structures and materials, from the continuum description of properties to the atomistic and molecular mechanisms that confer those properties to all materials. We will cover elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and (bio)polymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. Integrated laboratories provide the opportunity to explore these concepts through hands-on experiments including instrumentation of pressure vessels, visualization of atomistic deformation in bubble rafts, nanoindentation, and uniaxial mechanical testing, as well as writing assignments to communicate th

Subjects

Basic concepts of solid mechanics and mechanical behavior of materials | stress-strain relationships | stress transformation | elasticity | plasticity and fracture. Case studies include materials selection for bicycle frames | stress shielding in biomedical implants; residual stresses in thin films; and ancient materials. Lab experiments and demonstrations give hands-on experience of the physical concepts at a variety of length scales. Use of facilities for measuring mechanical properties including standard mechanical tests | bubble raft models | atomic force microscopy and nanoindentation. | plasticity and fracture | Case studies | materials selection | bicycle frames | stress shielding in biomedical implants | residual stresses in thin films | ancient materials | standard mechanical tests | solid mechanics | mechanical behavior of materials

License

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.htm

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3.032 Mechanical Behavior of Materials (MIT)

Description

Here we will learn about the mechanical behavior of structures and materials, from the continuum description of properties to the atomistic and molecular mechanisms that confer those properties to all materials. We will cover elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and (bio)polymers, and will focus on the design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior. Integrated laboratories provide the opportunity to explore these concepts through hands-on experiments including instrumentation of pressure vessels, visualization of atomistic deformation in bubble rafts, nanoindentation, and uniaxial mechanical testing, as well as writing assignments to communicate th

Subjects

Basic concepts of solid mechanics and mechanical behavior of materials | stress-strain relationships | stress transformation | elasticity | plasticity and fracture. Case studies include materials selection for bicycle frames | stress shielding in biomedical implants; residual stresses in thin films; and ancient materials. Lab experiments and demonstrations give hands-on experience of the physical concepts at a variety of length scales. Use of facilities for measuring mechanical properties including standard mechanical tests | bubble raft models | atomic force microscopy and nanoindentation. | plasticity and fracture | Case studies | materials selection | bicycle frames | stress shielding in biomedical implants | residual stresses in thin films | ancient materials | standard mechanical tests | solid mechanics | mechanical behavior of materials

License

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.htm

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1.050 Solid Mechanics (MIT)

Description

1.050 is a sophomore-level engineering mechanics course, commonly labelled "Statics and Strength of Materials" or "Solid Mechanics I." This course introduces students to the fundamental principles and methods of structural mechanics. Topics covered include: static equilibrium, force resultants, support conditions, analysis of determinate planar structures (beams, trusses, frames), stresses and strains in structural elements, states of stress (shear, bending, torsion), statically indeterminate systems, displacements and deformations, introduction to matrix methods, elastic stability, and approximate methods. Design exercises are used to encourage creative student initiative and systems thinking.

Subjects

solid mechanics | engineering design | open ended exercises | matrix analysis of structures | structural mechanics | static equilibrium | force resultants | support conditions | determinate planar structures | beams | trusses | frames | stress | strain | shear | bending | torsion | matrix methods | elastic stability | design exercises | interactive exercises | systems thinking

License

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.htm

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1.105 Solid Mechanics Laboratory (MIT)

Description

This course introduces students to basic properties of structural materials and behavior of simple structural elements and systems through a series of experiments. Students learn experimental technique, data collection, reduction and analysis, and presentation of results. Students generally take this subject during the same semester as 1.050, Solid Mechanics.

Subjects

properties of structural materials | structural elements | structural systems | experimental technique | data collection | reduction | analysis | presentation | properties | structural materials | structural behavior | simple structural elements | simple structural systems | laboratory experiments | data reduction | data analysis | solid mechanics | loading | observation | measurement | force | displacement | stiffness | failure modes | failure mechanisms | instrumentation | resolution | range | transducer response | signal conditioning | experimental design | report writing

License

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.htm

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2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations (MIT)

Description

This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discrete computational geometry, graph theory, optimization techniques, calculus of variations and linear algebra. The topics covered in any particular year depend on the interest of the students and instructor. Emphasis is on basic ideas and on applications in mechanical engineering. This year, the subject focuses on selected topics from linear algebra and the calculus of variations. It is aimed mainly (but not exclusively) at students aiming to study mechanics (solid mechanics, fluid mechanics, energy methods etc.), and the course introduces some of the mathematical tools used in these subjects. App

Subjects

calculus of variations | linear algebra | solid mechanics | fluid mechanics | energy methods | microstructures of crystalline

License

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.htm

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16.20 Structural Mechanics (MIT)

Description

Applies solid mechanics to analysis of high-technology structures. Structural design considerations. Review of three-dimensional elasticity theory; stress, strain, anisotropic materials, and heating effects. Two-dimensional plane stress and plane strain problems. Torsion theory for arbitrary sections. Bending of unsymmetrical section and mixed material beams. Bending, shear, and torsion of thin-wall shell beams. Buckling of columns and stability phenomena. Introduction to structural dynamics. Exercises in the design of general and aerospace structures.

Subjects

solid mechanics | high-technology structures | Structural design considerations | three-dimensional elasticity theory | stress | strain | anisotropic materials | heating effects | torsion theory | Bending | shear | Buckling | stability phenomena | structural dynamics

License

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.htm

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18.307 Integral Equations (MIT)

Description

This course emphasizes concepts and techniques for solving integral equations from an applied mathematics perspective. Material is selected from the following topics: Volterra and Fredholm equations, Fredholm theory, the Hilbert-Schmidt theorem; Wiener-Hopf Method; Wiener-Hopf Method and partial differential equations; the Hilbert Problem and singular integral equations of Cauchy type; inverse scattering transform; and group theory. Examples are taken from fluid and solid mechanics, acoustics, quantum mechanics, and other applications.

Subjects

integral equations | applied mathematics | Volterra equation | Fredholm equation | Fredholm theory | Hilbert-Schmidt theorem | Wiener-Hopf Method | partial differential equations | Hilbert Problem | ingular integral equations | Cauchy type | inverse scattering transform | group theory | fluid mechanics | solid mechanics | acoustics | quantum mechanics

License

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.htm

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