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16.225 Computational Mechanics of Materials (MIT) 16.225 Computational Mechanics of Materials (MIT)

Description

16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course includes: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms include: variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There is a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. The application to real engineering applications and problems in engineering science is 16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course includes: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms include: variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There is a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. The application to real engineering applications and problems in engineering science is

Subjects

Computational Mechanics | Computational Mechanics | Computation | Computation | Mechanics | Mechanics | Materials | Materials | Numerical Methods | Numerical Methods | Numerical | Numerical | Nonlinear Continuum Response | Nonlinear Continuum Response | Continuum | Continuum | Deformation | Deformation | Elasticity | Elasticity | Inelasticity | Inelasticity | Dynamics | Dynamics | Variational Formulation | Variational Formulation | Variational Constitutive Updates | Variational Constitutive Updates | Finite Element | Finite Element | Discretization | Discretization | Error Estimation | Error Estimation | Constrained Problems | Constrained Problems | Time Integration | Time Integration | Convergence Analysis | Convergence Analysis | Programming | Programming | Continuum Response | Continuum Response | Computational | Computational | state-of-the-art | state-of-the-art | methods | methods | modeling | modeling | simulation | simulation | mechanical | mechanical | response | response | engineering | engineering | aerospace | aerospace | civil | civil | material | material | science | science | biomechanics | biomechanics | behavior | behavior | finite | finite | deformation | deformation | elasticity | elasticity | inelasticity | inelasticity | contact | contact | friction | friction | coupled | coupled | numerical | numerical | formulation | formulation | algorithms | algorithms | Variational | Variational | constitutive | constitutive | updates | updates | element | element | discretization | discretization | mesh | mesh | generation | generation | error | error | estimation | estimation | constrained | constrained | problems | problems | time | time | convergence | convergence | analysis | analysis | parallel | parallel | computer | computer | implementation | implementation | programming | programming | assembly | assembly | equation-solving | equation-solving | formulating | formulating | implementing | implementing | complex | complex | approximations | approximations | equations | equations | motion | motion | dynamic | dynamic | deformations | deformations | continua | continua | plasticity | plasticity | rate-dependency | rate-dependency | integration | integration

License

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Materials I (MIT) Materials I (MIT)

Description

Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to biomechanics of natural materials and structures. Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to biomechanics of natural materials and structures.

Subjects

deformable solids | deformable solids | equilibrium | equilibrium | geometric compatibility | geometric compatibility | material behavior | material behavior | Stress | Stress | strain | strain | inear elasticity | inear elasticity | thermal expansion | thermal expansion | Failure modes | Failure modes | simple engineering structures | simple engineering structures | biomechanics | biomechanics | natural materials | natural materials

License

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20.011J Statistical Thermodynamics of Biomolecular Systems (BE.011J) (MIT) 20.011J Statistical Thermodynamics of Biomolecular Systems (BE.011J) (MIT)

Description

This course provides an introduction to the physical chemistry of biological systems. Topics include: connection of macroscopic thermodynamic properties to microscopic molecular properties using statistical mechanics, chemical potentials, equilibrium states, binding cooperativity, behavior of macromolecules in solution and at interfaces, and solvation. Example problems include protein structure, genomic analysis, single molecule biomechanics, and biomaterials. This course provides an introduction to the physical chemistry of biological systems. Topics include: connection of macroscopic thermodynamic properties to microscopic molecular properties using statistical mechanics, chemical potentials, equilibrium states, binding cooperativity, behavior of macromolecules in solution and at interfaces, and solvation. Example problems include protein structure, genomic analysis, single molecule biomechanics, and biomaterials.

Subjects

physical chemistry of biological systems | physical chemistry of biological systems | macroscopic thermodynamic properties | macroscopic thermodynamic properties | microscopic molecular properties | microscopic molecular properties | statistical mechanics | statistical mechanics | chemical potentials | chemical potentials | equilibrium states | equilibrium states | binding cooperativity | binding cooperativity | behavior of macromolecules in solution and at interfaces | behavior of macromolecules in solution and at interfaces | solvation | solvation | protein structure | protein structure | genomic analysis | genomic analysis | single molecule biomechanics | single molecule biomechanics | biomaterials | biomaterials | BE.011J | BE.011J | BE.011 | BE.011 | 2.772 | 2.772

License

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1.978 From Nano to Macro: Introduction to Atomistic Modeling Techniques (MIT) 1.978 From Nano to Macro: Introduction to Atomistic Modeling Techniques (MIT)

Description

The objective of this course is to introduce large-scale atomistic modeling techniques and highlight its importance for solving problems in modern engineering sciences. We demonstrate how atomistic modeling can be used to understand how materials fail under extreme loading, involving unfolding of proteins and propagation of cracks. This course was featured in an MIT Tech Talk article. The objective of this course is to introduce large-scale atomistic modeling techniques and highlight its importance for solving problems in modern engineering sciences. We demonstrate how atomistic modeling can be used to understand how materials fail under extreme loading, involving unfolding of proteins and propagation of cracks. This course was featured in an MIT Tech Talk article.

Subjects

large-scale atomistic | large-scale atomistic | large-scale atomistic modeling techniques | large-scale atomistic modeling techniques | modern engineering sciences | modern engineering sciences | atomistic modeling | atomistic modeling | extreme loading | extreme loading | ductile and brittle materials failure | ductile and brittle materials failure | molecular dynamics | molecular dynamics | simulations | simulations | Cauchy-Born rule | Cauchy-Born rule | biomechanics | biomechanics | biomaterials | biomaterials | copper nanocrystal | copper nanocrystal | nanomechanics | nanomechanics | material mechanics | material mechanics

License

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20.310J Molecular, Cellular, and Tissue Biomechanics (MIT) 20.310J Molecular, Cellular, and Tissue Biomechanics (MIT)

Description

This course develops and applies scaling laws and the methods of continuum and statistical mechanics to biomechanical phenomena over a range of length scales, from molecular to cellular to tissue or organ level. This course develops and applies scaling laws and the methods of continuum and statistical mechanics to biomechanical phenomena over a range of length scales, from molecular to cellular to tissue or organ level.

Subjects

biomechanics | biomechanics | molecular mechanics | molecular mechanics | cell mechanics | cell mechanics | Brownian motion | Brownian motion | Reynolds numbers | Reynolds numbers | mechanochemistry | mechanochemistry | Kramers' model | Kramers' model | Bell model | Bell model | viscoelasticity | viscoelasticity | poroelasticity | poroelasticity | optical tweezers | optical tweezers | extracellular matrix | extracellular matrix | collagen | collagen | proteoglycan | proteoglycan | cell membrane | cell membrane | cell motility | cell motility | mechanotransduction | mechanotransduction | cancer | cancer | biological systems | biological systems | molecular biology | molecular biology | cell biology | cell biology | cytoskeleton | cytoskeleton | cell | cell | biophysics | biophysics | cell migration | cell migration | biomembrane | biomembrane | tissue mechanics | tissue mechanics | rheology | rheology | polymer | polymer | length scale | length scale | muscle mechanics | muscle mechanics | experimental methods | experimental methods

License

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HST.021 Musculoskeletal Pathophysiology (MIT) HST.021 Musculoskeletal Pathophysiology (MIT)

Description

This course covers the growth, development and structure of normal bone and joints, the biomechanics of bone connective tissues, and their response to stress, calcium and phosphate homeostasis. Additional topics include regulation by parathyroid hormone and vitamin D, the pathogenesis of metabolic bone diseases and diseases of connective tissues, joints and muscle with consideration of possible mechanisms and underlying metabolic derangements. Lecturers Dr. Paul Joseph Anderson Dr. Robert Horatio Brown, Jr. Dr. Marie Demay Dr. Stephen Martin Krane Dr. Young-Jo Kim Dr. Henry Jay Mankin Dr. Bjorn Reino Olsen Dr. John Thomas Potts Dr. Alan Lewis Schiller Dr. Brian Dale Snyder   This course covers the growth, development and structure of normal bone and joints, the biomechanics of bone connective tissues, and their response to stress, calcium and phosphate homeostasis. Additional topics include regulation by parathyroid hormone and vitamin D, the pathogenesis of metabolic bone diseases and diseases of connective tissues, joints and muscle with consideration of possible mechanisms and underlying metabolic derangements. Lecturers Dr. Paul Joseph Anderson Dr. Robert Horatio Brown, Jr. Dr. Marie Demay Dr. Stephen Martin Krane Dr. Young-Jo Kim Dr. Henry Jay Mankin Dr. Bjorn Reino Olsen Dr. John Thomas Potts Dr. Alan Lewis Schiller Dr. Brian Dale Snyder  

Subjects

musculoskeletal | musculoskeletal | bone | bone | joints | joints | connective tissue | connective tissue | biomechanics | biomechanics | muscle | muscle | metabolic bone diseases | metabolic bone diseases | calcium homeostasis | calcium homeostasis | phosphate homeostasis | phosphate homeostasis | mineralization | mineralization

License

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BE.011J Statistical Thermodynamics of Biomolecular Systems (MIT) BE.011J Statistical Thermodynamics of Biomolecular Systems (MIT)

Description

This course provides an introduction to the physical chemistry of biological systems. Topics include: connection of macroscopic thermodynamic properties to microscopic molecular properties using statistical mechanics, chemical potentials, equilibrium states, binding cooperativity, behavior of macromolecules in solution and at interfaces, and solvation. Example problems include protein structure, genomic analysis, single molecule biomechanics, and biomaterials.Technical RequirementsMATLAB® software is required to run the .m and .fig files found on this course site. This course provides an introduction to the physical chemistry of biological systems. Topics include: connection of macroscopic thermodynamic properties to microscopic molecular properties using statistical mechanics, chemical potentials, equilibrium states, binding cooperativity, behavior of macromolecules in solution and at interfaces, and solvation. Example problems include protein structure, genomic analysis, single molecule biomechanics, and biomaterials.Technical RequirementsMATLAB® software is required to run the .m and .fig files found on this course site.

Subjects

physical chemistry of biological systems | physical chemistry of biological systems | macroscopic thermodynamic properties | macroscopic thermodynamic properties | microscopic molecular properties | microscopic molecular properties | statistical mechanics | statistical mechanics | chemical potentials | chemical potentials | equilibrium states | equilibrium states | binding cooperativity | binding cooperativity | behavior of macromolecules in solution and at interfaces | behavior of macromolecules in solution and at interfaces | solvation | solvation | protein structure | protein structure | genomic analysis | genomic analysis | single molecule biomechanics | single molecule biomechanics | biomaterials | biomaterials | 2.772J | 2.772J | BE.011 | BE.011 | 2.772 | 2.772

License

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Materials I (MIT) Materials I (MIT)

Description

This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; and (c) the physical aspects of the structural system (including material properties) which quantify relations between the forces and motions/deformation. This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; and (c) the physical aspects of the structural system (including material properties) which quantify relations between the forces and motions/deformation.

Subjects

statics | statics | pressure | pressure | deformation | deformation | deformable solid | deformable solid | equilibrium | equilibrium | geometric compatibility | geometric compatibility | material behavior | material behavior | stress | stress | strain | strain | shear | shear | elasticity | elasticity | thermal expansion | thermal expansion | failure modes | failure modes | biomechanics | biomechanics | natural materials | natural materials | motion | motion | structure | structure | force | force | moment | moment | member | member | truss | truss | friction | friction | torsion | torsion | bending | bending | displacement | displacement | beam | beam

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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16.225 Computational Mechanics of Materials (MIT)

Description

16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course includes: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms include: variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There is a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. The application to real engineering applications and problems in engineering science is

Subjects

Computational Mechanics | Computation | Mechanics | Materials | Numerical Methods | Numerical | Nonlinear Continuum Response | Continuum | Deformation | Elasticity | Inelasticity | Dynamics | Variational Formulation | Variational Constitutive Updates | Finite Element | Discretization | Error Estimation | Constrained Problems | Time Integration | Convergence Analysis | Programming | Continuum Response | Computational | state-of-the-art | methods | modeling | simulation | mechanical | response | engineering | aerospace | civil | material | science | biomechanics | behavior | finite | deformation | elasticity | inelasticity | contact | friction | coupled | numerical | formulation | algorithms | Variational | constitutive | updates | element | discretization | mesh | generation | error | estimation | constrained | problems | time | convergence | analysis | parallel | computer | implementation | programming | assembly | equation-solving | formulating | implementing | complex | approximations | equations | motion | dynamic | deformations | continua | plasticity | rate-dependency | integration

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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BE.011J Statistical Thermodynamics of Biomolecular Systems (MIT)

Description

This course provides an introduction to the physical chemistry of biological systems. Topics include: connection of macroscopic thermodynamic properties to microscopic molecular properties using statistical mechanics, chemical potentials, equilibrium states, binding cooperativity, behavior of macromolecules in solution and at interfaces, and solvation. Example problems include protein structure, genomic analysis, single molecule biomechanics, and biomaterials.Technical RequirementsMATLAB® software is required to run the .m and .fig files found on this course site.

Subjects

physical chemistry of biological systems | macroscopic thermodynamic properties | microscopic molecular properties | statistical mechanics | chemical potentials | equilibrium states | binding cooperativity | behavior of macromolecules in solution and at interfaces | solvation | protein structure | genomic analysis | single molecule biomechanics | biomaterials | 2.772J | BE.011 | 2.772

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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HST.021 Musculoskeletal Pathophysiology (MIT)

Description

This course covers the growth, development and structure of normal bone and joints, the biomechanics of bone connective tissues, and their response to stress, calcium and phosphate homeostasis. Additional topics include regulation by parathyroid hormone and vitamin D, the pathogenesis of metabolic bone diseases and diseases of connective tissues, joints and muscle with consideration of possible mechanisms and underlying metabolic derangements. Lecturers Dr. Paul Joseph Anderson Dr. Robert Horatio Brown, Jr. Dr. Marie Demay Dr. Stephen Martin Krane Dr. Young-Jo Kim Dr. Henry Jay Mankin Dr. Bjorn Reino Olsen Dr. John Thomas Potts Dr. Alan Lewis Schiller Dr. Brian Dale Snyder  

Subjects

musculoskeletal | bone | joints | connective tissue | biomechanics | muscle | metabolic bone diseases | calcium homeostasis | phosphate homeostasis | mineralization

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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Materials I (MIT)

Description

This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; and (c) the physical aspects of the structural system (including material properties) which quantify relations between the forces and motions/deformation.

Subjects

statics | pressure | deformation | deformable solid | equilibrium | geometric compatibility | material behavior | stress | strain | shear | elasticity | thermal expansion | failure modes | biomechanics | natural materials | motion | structure | force | moment | member | truss | friction | torsion | bending | displacement | beam

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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The anatomy cookbook : a dissection guide with recipes

Description

The Anatomy Cookbook has been written to accompany an anatomy and physiology course for bioengineers who would otherwise have missed out on the opportunity to study real organ systems at first hand. It is not an alternative to a standard anatomy text, it acts more as a laboratory supplement. The fun bit is that your kitchen takes the place of the dissection room. Each recipe provides an insight into one or more organs, and all you need to do is go to the supermarket and be prepared to think about your food in a radically different way.

Subjects

cookbook | anatomy | bioengineering | biomechanics | mechanical | materials and manufacturing engineering | ukoer | Engineering | H000

License

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/

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Materials I (MIT)

Description

This course provides an introduction to the mechanics of solids with applications to science and engineering. We emphasize the three essential features of all mechanics analyses, namely: (a) the geometry of the motion and/or deformation of the structure, and conditions of geometric fit, (b) the forces on and within structures and assemblages; and (c) the physical aspects of the structural system (including material properties) which quantify relations between the forces and motions/deformation.

Subjects

statics | pressure | deformation | deformable solid | equilibrium | geometric compatibility | material behavior | stress | strain | shear | elasticity | thermal expansion | failure modes | biomechanics | natural materials | motion | structure | force | moment | member | truss | friction | torsion | bending | displacement | beam

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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20.310J Molecular, Cellular, and Tissue Biomechanics (MIT)

Description

This course develops and applies scaling laws and the methods of continuum and statistical mechanics to biomechanical phenomena over a range of length scales, from molecular to cellular to tissue or organ level.

Subjects

biomechanics | molecular mechanics | cell mechanics | Brownian motion | Reynolds numbers | mechanochemistry | Kramers' model | Bell model | viscoelasticity | poroelasticity | optical tweezers | extracellular matrix | collagen | proteoglycan | cell membrane | cell motility | mechanotransduction | cancer | biological systems | molecular biology | cell biology | cytoskeleton | cell | biophysics | cell migration | biomembrane | tissue mechanics | rheology | polymer | length scale | muscle mechanics | experimental methods

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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20.011J Statistical Thermodynamics of Biomolecular Systems (BE.011J) (MIT)

Description

This course provides an introduction to the physical chemistry of biological systems. Topics include: connection of macroscopic thermodynamic properties to microscopic molecular properties using statistical mechanics, chemical potentials, equilibrium states, binding cooperativity, behavior of macromolecules in solution and at interfaces, and solvation. Example problems include protein structure, genomic analysis, single molecule biomechanics, and biomaterials.

Subjects

physical chemistry of biological systems | macroscopic thermodynamic properties | microscopic molecular properties | statistical mechanics | chemical potentials | equilibrium states | binding cooperativity | behavior of macromolecules in solution and at interfaces | solvation | protein structure | genomic analysis | single molecule biomechanics | biomaterials | BE.011J | BE.011 | 2.772

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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1.978 From Nano to Macro: Introduction to Atomistic Modeling Techniques (MIT)

Description

The objective of this course is to introduce large-scale atomistic modeling techniques and highlight its importance for solving problems in modern engineering sciences. We demonstrate how atomistic modeling can be used to understand how materials fail under extreme loading, involving unfolding of proteins and propagation of cracks. This course was featured in an MIT Tech Talk article.

Subjects

large-scale atomistic | large-scale atomistic modeling techniques | modern engineering sciences | atomistic modeling | extreme loading | ductile and brittle materials failure | molecular dynamics | simulations | Cauchy-Born rule | biomechanics | biomaterials | copper nanocrystal | nanomechanics | material 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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Materials I (MIT)

Description

Introduction to statics and the mechanics of deformable solids. Emphasis on the three basic principles of equilibrium, geometric compatibility, and material behavior. Stress and its relation to force and moment; strain and its relation to displacement; linear elasticity with thermal expansion. Failure modes. Application to simple engineering structures such as rods, shafts, beams, and trusses. Application to biomechanics of natural materials and structures.

Subjects

deformable solids | equilibrium | geometric compatibility | material behavior | Stress | strain | inear elasticity | thermal expansion | Failure modes | simple engineering structures | biomechanics | natural 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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