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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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18.238 Geometry and Quantum Field Theory (MIT) 18.238 Geometry and Quantum Field Theory (MIT)

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory. Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Subjects

perturbative quantum field theory | perturbative quantum field theory | classical field theory | classical field theory | free quantum theories | free quantum theories | Feynman diagrams | Feynman diagrams | Renormalization theory | Renormalization theory | Local operators | Local operators | Operator product expansion | Operator product expansion | Renormalization group equation | Renormalization group equation | classical | classical | field | field | theory | theory | Feynman | Feynman | diagrams | diagrams | free | free | quantum | quantum | theories | theories | local | local | operators | operators | product | product | expansion | expansion | perturbative | perturbative | renormalization | renormalization | group | group | equations | equations | functional | functional | function | function | intergrals | intergrals | operator | operator | QFT | QFT | string | string | physics | physics | mathematics | mathematics | geometry | geometry | geometric | geometric | algebraic | algebraic | topology | topology | number | number | 0-dimensional | 0-dimensional | 1-dimensional | 1-dimensional | d-dimensional | d-dimensional | supergeometry | supergeometry | supersymmetry | supersymmetry | conformal | conformal | stationary | stationary | phase | phase | formula | formula | calculus | calculus | combinatorics | combinatorics | matrix | matrix | mechanics | mechanics | lagrangians | lagrangians | hamiltons | hamiltons | least | least | action | action | principle | principle | limits | limits | formalism | formalism | Feynman-Kac | Feynman-Kac | current | current | charges | charges | Noether?s | Noether?s | theorem | theorem | path | path | integral | integral | approach | approach | divergences | divergences | functional integrals | functional integrals | fee quantum theories | fee quantum theories | renormalization theory | renormalization theory | local operators | local operators | operator product expansion | operator product expansion | renormalization group equation | renormalization group equation | mathematical language | mathematical language | string theory | string theory | 0-dimensional QFT | 0-dimensional QFT | Stationary Phase Formula | Stationary Phase Formula | Matrix Models | Matrix Models | Large N Limits | Large N Limits | 1-dimensional QFT | 1-dimensional QFT | Classical Mechanics | Classical Mechanics | Least Action Principle | Least Action Principle | Path Integral Approach | Path Integral Approach | Quantum Mechanics | Quantum Mechanics | Perturbative Expansion using Feynman Diagrams | Perturbative Expansion using Feynman Diagrams | Operator Formalism | Operator Formalism | Feynman-Kac Formula | Feynman-Kac Formula | d-dimensional QFT | d-dimensional QFT | Formalism of Classical Field Theory | Formalism of Classical Field Theory | Currents | Currents | Noether?s Theorem | Noether?s Theorem | Path Integral Approach to QFT | Path Integral Approach to QFT | Perturbative Expansion | Perturbative Expansion | Renormalization Theory | Renormalization Theory | Conformal Field Theory | Conformal Field Theory | algebraic topology | algebraic topology | algebraic geometry | algebraic geometry | number theory | number theory

License

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22.02 Introduction to Applied Nuclear Physics (MIT) 22.02 Introduction to Applied Nuclear Physics (MIT)

Description

This course concentrates on the basic concepts of nuclear physics with emphasis on nuclear structure and radiation interactions with matter. Included: elementary quantum theory; nuclear forces; shell structure of the nucleus; alpha, beta, and gamma radioactive decays; interactions of nuclear radiations (charged particles, gammas, and neutrons) with matter; nuclear reactions; and fission and fusion. The course is divided into three main sections: Quantum Mechanics Fundamentals Nuclear Structure and Nuclear Decays Interactions in Nuclear Matter and Nuclear Reactions This course concentrates on the basic concepts of nuclear physics with emphasis on nuclear structure and radiation interactions with matter. Included: elementary quantum theory; nuclear forces; shell structure of the nucleus; alpha, beta, and gamma radioactive decays; interactions of nuclear radiations (charged particles, gammas, and neutrons) with matter; nuclear reactions; and fission and fusion. The course is divided into three main sections: Quantum Mechanics Fundamentals Nuclear Structure and Nuclear Decays Interactions in Nuclear Matter and Nuclear Reactions

Subjects

Quantum Mechanics Fundamentals | | Quantum Mechanics Fundamentals | | Nuclear Structure | | Nuclear Structure | | Nuclear Decays | | Nuclear Decays | | Nuclear Matter | | Nuclear Matter | | Nuclear Reactions | Nuclear Reactions | Nuclear Decays | Nuclear Decays | Quantum Mechanics Fundamentals | Quantum Mechanics Fundamentals | Nuclear Structure | Nuclear Structure | Nuclear Matter | Nuclear Matter

License

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16.423J Aerospace Biomedical and Life Support Engineering (MIT) 16.423J Aerospace Biomedical and Life Support Engineering (MIT)

Description

This course introduces students to a quantitative approach to studying the problems of physiological adaptation in altered environments, especially microgravity and partial gravity environments. The course curriculum starts with an Introduction and Selected Topics, which provides background information on the physiological problems associated with human space flight, as well as reviewing terminology and key engineering concepts. Then curriculum modules on Bone Mechanics, Muscle Mechanics, Musculoskeletal Dynamics and Control, and the Cardiovascular System are presented. These modules start out with qualitative and biological information regarding the system and its adaptation, and progresses to a quantitative endpoint in which engineering methods are used to analyze specific problems and c This course introduces students to a quantitative approach to studying the problems of physiological adaptation in altered environments, especially microgravity and partial gravity environments. The course curriculum starts with an Introduction and Selected Topics, which provides background information on the physiological problems associated with human space flight, as well as reviewing terminology and key engineering concepts. Then curriculum modules on Bone Mechanics, Muscle Mechanics, Musculoskeletal Dynamics and Control, and the Cardiovascular System are presented. These modules start out with qualitative and biological information regarding the system and its adaptation, and progresses to a quantitative endpoint in which engineering methods are used to analyze specific problems and c

Subjects

physiological adaptation | physiological adaptation | weightlessness | weightlessness | human space flight | human space flight | Bone Mechanics | Bone Mechanics | Muscle Mechanics | Muscle Mechanics | Musculoskeletal Dynamics | Musculoskeletal Dynamics | Cardiovascular System | Cardiovascular System | Neurovestibular system | Neurovestibular system | extravehicular activity | extravehicular activity | 16.423 | 16.423 | HST.515 | HST.515 | ESD.65 | ESD.65

License

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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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8.223 Classical Mechanics II (MIT)

Description

This undergraduate course is a broad, theoretical treatment of classical mechanics, useful in its own right for treating complex dynamical problems, but essential to understanding the foundations of quantum mechanics and statistical physics.

Subjects

Equations of Motion | Lagrangian Mechanics | ConservedQuantities | Orbits | Scattering Oscillations | Tricky Potentials | Hamiltonian Mechanics | Canonical Equations | Motion of a Rigid Body

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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18.238 Geometry and Quantum Field Theory (MIT)

Description

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals. It covers the basics of classical field theory, free quantum theories and Feynman diagrams. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and String Theory.

Subjects

perturbative quantum field theory | classical field theory | free quantum theories | Feynman diagrams | Renormalization theory | Local operators | Operator product expansion | Renormalization group equation | classical | field | theory | Feynman | diagrams | free | quantum | theories | local | operators | product | expansion | perturbative | renormalization | group | equations | functional | function | intergrals | operator | QFT | string | physics | mathematics | geometry | geometric | algebraic | topology | number | 0-dimensional | 1-dimensional | d-dimensional | supergeometry | supersymmetry | conformal | stationary | phase | formula | calculus | combinatorics | matrix | mechanics | lagrangians | hamiltons | least | action | principle | limits | formalism | Feynman-Kac | current | charges | Noether?s | theorem | path | integral | approach | divergences | functional integrals | fee quantum theories | renormalization theory | local operators | operator product expansion | renormalization group equation | mathematical language | string theory | 0-dimensional QFT | Stationary Phase Formula | Matrix Models | Large N Limits | 1-dimensional QFT | Classical Mechanics | Least Action Principle | Path Integral Approach | Quantum Mechanics | Perturbative Expansion using Feynman Diagrams | Operator Formalism | Feynman-Kac Formula | d-dimensional QFT | Formalism of Classical Field Theory | Currents | Noether?s Theorem | Path Integral Approach to QFT | Perturbative Expansion | Renormalization Theory | Conformal Field Theory | algebraic topology | algebraic geometry | number theory

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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16.423J Aerospace Biomedical and Life Support Engineering (MIT)

Description

This course introduces students to a quantitative approach to studying the problems of physiological adaptation in altered environments, especially microgravity and partial gravity environments. The course curriculum starts with an Introduction and Selected Topics, which provides background information on the physiological problems associated with human space flight, as well as reviewing terminology and key engineering concepts. Then curriculum modules on Bone Mechanics, Muscle Mechanics, Musculoskeletal Dynamics and Control, and the Cardiovascular System are presented. These modules start out with qualitative and biological information regarding the system and its adaptation, and progresses to a quantitative endpoint in which engineering methods are used to analyze specific problems and c

Subjects

physiological adaptation | weightlessness | human space flight | Bone Mechanics | Muscle Mechanics | Musculoskeletal Dynamics | Cardiovascular System | Neurovestibular system | extravehicular activity | 16.423 | HST.515 | ESD.65

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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22.02 Introduction to Applied Nuclear Physics (MIT)

Description

This course concentrates on the basic concepts of nuclear physics with emphasis on nuclear structure and radiation interactions with matter. Included: elementary quantum theory; nuclear forces; shell structure of the nucleus; alpha, beta, and gamma radioactive decays; interactions of nuclear radiations (charged particles, gammas, and neutrons) with matter; nuclear reactions; and fission and fusion. The course is divided into three main sections: Quantum Mechanics Fundamentals Nuclear Structure and Nuclear Decays Interactions in Nuclear Matter and Nuclear Reactions

Subjects

Quantum Mechanics Fundamentals | | Nuclear Structure | | Nuclear Decays | | Nuclear Matter | | Nuclear Reactions | Nuclear Decays | Quantum Mechanics Fundamentals | Nuclear Structure | Nuclear Matter

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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Introduction to Energy for Mechanics

Description

Descriptions of Potential, Strain, Kinetic Energy, their commonly used symbols and definition of power.

Subjects

Mechanics MEMS

License

Copyright Oxford Brookes University, all rights reserved Copyright Oxford Brookes University, all rights reserved

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Uniaxial Stress in simple components

Description

A series of three powerpoint files that cover the basic units, definitions, equations and theory for uniaxial stress/strain and simple shear stress/strain.

Subjects

Mechanics MEMS

License

Copyright Oxford Brookes University, all rights reserved Copyright Oxford Brookes University, all rights reserved

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