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12.520 Geodynamics (MIT) 12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.Technical RequirementsSpecial software is required to use some of the files in this course: .avi. This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.Technical RequirementsSpecial software is required to use some of the files in this course: .avi.

Subjects

Geodynamics | Geodynamics | crust | crust | mantle | mantle | rheological descriptions | rheological descriptions | brittle deformation | brittle deformation | elastic deformation | elastic deformation | viscous deformation | viscous deformation | viscoelastic deformation | viscoelastic deformation | plastic deformation | plastic deformation | nonlinear fluids | nonlinear fluids | stress | stress | strain | strain

License

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12.520 Geodynamics (MIT) 12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic. This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.

Subjects

Geodynamics | Geodynamics | crust | crust | mantle | mantle | rheological descriptions | rheological descriptions | brittle deformation | brittle deformation | elastic deformation | elastic deformation | viscous deformation | viscous deformation | viscoelastic deformation | viscoelastic deformation | plastic deformation | plastic deformation | nonlinear fluids | nonlinear fluids | stress | stress | strain | strain

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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12.005 Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences (MIT) 12.005 Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences (MIT)

Description

This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied. This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied.

Subjects

Geodynamics | Geodynamics | crust | crust | mantle | mantle | rheological descriptions | rheological descriptions | brittle deformation | brittle deformation | elastic deformation | elastic deformation | viscous deformation | viscous deformation | viscoelastic deformation | viscoelastic deformation | plastic deformation | plastic deformation | nonlinear fluids | nonlinear fluids | stress | stress | strain | strain

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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12.520 Geodynamics (MIT) 12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic. This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.

Subjects

Geodynamics | Geodynamics | crust | crust | mantle | mantle | rheological descriptions | rheological descriptions | brittle deformation | brittle deformation | elastic deformation | elastic deformation | viscous deformation | viscous deformation | viscoelastic deformation | viscoelastic deformation | plastic deformation | plastic deformation | nonlinear fluids | nonlinear fluids | stress | stress | strain | strain

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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12.005 Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences (MIT) 12.005 Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences (MIT)

Description

This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied. This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied.

Subjects

Geodynamics | Geodynamics | crust | crust | mantle | mantle | rheological descriptions | rheological descriptions | brittle deformation | brittle deformation | elastic deformation | elastic deformation | viscous deformation | viscous deformation | viscoelastic deformation | viscoelastic deformation | plastic deformation | plastic deformation | nonlinear fluids | nonlinear fluids | stress | stress | strain | strain

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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12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.

Subjects

Geodynamics | crust | mantle | rheological descriptions | brittle deformation | elastic deformation | viscous deformation | viscoelastic deformation | plastic deformation | nonlinear fluids | stress | strain

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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12.005 Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences (MIT)

Description

This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied.

Subjects

Geodynamics | crust | mantle | rheological descriptions | brittle deformation | elastic deformation | viscous deformation | viscoelastic deformation | plastic deformation | nonlinear fluids | stress | strain

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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12.005 Applications of Continuum Mechanics to Earth, Atmospheric, and Planetary Sciences (MIT)

Description

This course focuses on the practical applications of the continuum concept for deformation of solids and fluids, emphasizing force balance. Topics include stress tensor, infinitesimal and finite strain, and rotation tensors. Constitutive relations applicable to geological materials, including elastic, viscous, brittle, and plastic deformation are studied.

Subjects

Geodynamics | crust | mantle | rheological descriptions | brittle deformation | elastic deformation | viscous deformation | viscoelastic deformation | plastic deformation | nonlinear fluids | stress | strain

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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12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.

Subjects

Geodynamics | crust | mantle | rheological descriptions | brittle deformation | elastic deformation | viscous deformation | viscoelastic deformation | plastic deformation | nonlinear fluids | stress | strain

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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12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.Technical RequirementsSpecial software is required to use some of the files in this course: .avi.

Subjects

Geodynamics | crust | mantle | rheological descriptions | brittle deformation | elastic deformation | viscous deformation | viscoelastic deformation | plastic deformation | nonlinear fluids | stress | strain

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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16.225 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

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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1.033 Mechanics of Material Systems: An Energy Approach (MIT) 1.033 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. 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 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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12.524 Mechanical Properties of Rocks (MIT) 12.524 Mechanical Properties of Rocks (MIT)

Description

12.524 is a survey of the mechanical behavior of rocks in natural geologic situations. Topics will include a brief survey of field evidence of rock deformation, physics of plastic deformation in minerals, brittle fracture and sliding, and pressure-solution processes. We will compare results of field petrologic and structural studies to data from experimental structural geology. 12.524 is a survey of the mechanical behavior of rocks in natural geologic situations. Topics will include a brief survey of field evidence of rock deformation, physics of plastic deformation in minerals, brittle fracture and sliding, and pressure-solution processes. We will compare results of field petrologic and structural studies to data from experimental structural geology.

Subjects

mechanical behavior of rocks | mechanical behavior of rocks | rock deformation | rock deformation | plastic deformation | plastic deformation | minerals | minerals | rock mechanics | rock mechanics | brittle fracture | brittle fracture | pressure-solution processes | pressure-solution processes | field evidence | field evidence | experimental structural geology | experimental structural geology

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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12.113 Structural Geology (MIT) 12.113 Structural Geology (MIT)

Description

Structural geology is the study of processes and products of rock deformation. This course introduces the techniques of structural geology through a survey of the mechanics of rock deformation, a survey of the features and geometries of faults and folds, and techniques of strain analysis. Regional structural geology and tectonics are introduced. Class lectures are supplemented by lab exercises and demonstrations as well as field trips to local outcrops. Structural geology is the study of processes and products of rock deformation. This course introduces the techniques of structural geology through a survey of the mechanics of rock deformation, a survey of the features and geometries of faults and folds, and techniques of strain analysis. Regional structural geology and tectonics are introduced. Class lectures are supplemented by lab exercises and demonstrations as well as field trips to local outcrops.

Subjects

rock deformation | rock deformation | faults | faults | structural geology | structural geology | folds | folds | superposed deformations | superposed deformations | regional geology | regional geology | tectonics | tectonics | structural analysis | structural analysis | geologic maps | geologic maps | interpretive cross sections | interpretive cross sections

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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3.22 Mechanical Behavior of Materials (MIT) 3.22 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, fracture and fatigue of materials including crystalline and amorphous metals, semiconductors, 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. We will cover special topics in mechanical behavior for material systems of your choice, with reference to current research and publications. 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, fracture and fatigue of materials including crystalline and amorphous metals, semiconductors, 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. We will cover special topics in mechanical behavior for material systems of your choice, with reference to current research and publications.

Subjects

Phenomenology | Phenomenology | mechanical behavior | mechanical behavior | material structure | material structure | deformation | deformation | failure | failure | elasticity | elasticity | viscoelasticity | viscoelasticity | plasticity | plasticity | creep | creep | fracture | fracture | fatigue | fatigue | metals | metals | semiconductors | semiconductors | ceramics | ceramics | polymers | polymers | microstructure | microstructure | composition | composition | semiconductor diodes | semiconductor diodes | thin films | thin films | carbon nanotubes | carbon nanotubes | battery materials | battery materials | superelastic alloys | superelastic alloys | defect nucleation | defect nucleation | student projects | student projects | viral capsides | viral capsides

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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18.969 Topics in Geometry: Mirror Symmetry (MIT) 18.969 Topics in Geometry: Mirror Symmetry (MIT)

Description

This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor. This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor.

Subjects

mirror symmetry | mirror symmetry | deformation | deformation | hodge theory | hodge theory | pseudoholomorphic | pseudoholomorphic | gromov-witten | gromov-witten | cohomology | cohomology | yukawa | yukawa | monodromy | monodromy | picard-fuchs | picard-fuchs | lagrangian floer theory | lagrangian floer theory | homology | homology | SYZ conjecture | SYZ conjecture | submanifolds | submanifolds | K3 surfaces | K3 surfaces | matrices | matrices

License

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18.969 Topics in Geometry: Dirac Geometry (MIT) 18.969 Topics in Geometry: Dirac Geometry (MIT)

Description

This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry. This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry.

Subjects

generalized geometry | generalized geometry | Dirac geometry | Dirac geometry | Gerbes | Gerbes | B-fields | B-fields | Courant algebroids | Courant algebroids | sigma models | sigma models | baby String theory | baby String theory | linear algebra | linear algebra | pure spinors | pure spinors | Riemannian structures | Riemannian structures | Hodge star | Hodge star | integrability | integrability | Dirac structures | Dirac structures | Lie algebroids and bialgebroids | Lie algebroids and bialgebroids | holomorphic bundles | holomorphic bundles | Picard group | Picard group | Kodaira-Spencer-Kuranishi deformation theory | Kodaira-Spencer-Kuranishi deformation theory | Kahler geometry | Kahler geometry | Hermitian geometry | Hermitian geometry | Calabi-Yau structures | Calabi-Yau structures | D-branes | D-branes

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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12.524 Mechanical Properties of Rocks (MIT)

Description

12.524 is a survey of the mechanical behavior of rocks in natural geologic situations. Topics will include a brief survey of field evidence of rock deformation, physics of plastic deformation in minerals, brittle fracture and sliding, and pressure-solution processes. We will compare results of field petrologic and structural studies to data from experimental structural geology.

Subjects

mechanical behavior of rocks | rock deformation | plastic deformation | minerals | rock mechanics | brittle fracture | pressure-solution processes | field evidence | experimental structural geology

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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18.117 Topics in Several Complex Variables (MIT) 18.117 Topics in Several Complex Variables (MIT)

Description

This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems. Some results and tools on deformation and uniformization of complex manifolds are also discussed. This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems. Some results and tools on deformation and uniformization of complex manifolds are also discussed.

Subjects

Harmonic theory | Harmonic theory | complex manifolds | complex manifolds | Hodge decomposition theorem | Hodge decomposition theorem | Hard Lefschetz theorem | Hard Lefschetz theorem | Vanishing theorems | Vanishing theorems | deformation of complex manifolds | deformation of complex manifolds | uniformization of complex manifolds | uniformization of complex manifolds

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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12.113 Structural Geology (MIT)

Description

Structural geology is the study of processes and products of rock deformation. This course introduces the techniques of structural geology through a survey of the mechanics of rock deformation, a survey of the features and geometries of faults and folds, and techniques of strain analysis. Regional structural geology and tectonics are introduced. Class lectures are supplemented by lab exercises and demonstrations as well as field trips to local outcrops.

Subjects

rock deformation | faults | structural geology | folds | superposed deformations | regional geology | tectonics | structural analysis | geologic maps | interpretive cross sections

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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12.520 Geodynamics (MIT) 12.520 Geodynamics (MIT)

Description

This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic. This course deals with mechanics of deformation of the crust and mantle, with emphasis on the importance of different rheological descriptions: brittle, elastic, linear and nonlinear fluids, and viscoelastic.

Subjects

Geodynamics | Geodynamics | mechanics of deformation | mechanics of deformation | crust | crust | mantle | mantle | rheological descriptions | rheological descriptions | brittle | brittle | elastic | elastic | linear | linear | nonlinear fluids | nonlinear fluids | viscoelastic | viscoelastic | surface tractions | surface tractions | tectonic stress | tectonic stress | quantity expression | quantity expression | stress variations | stress variations | sandbox tectonics | sandbox tectonics | displacement gradients | displacement gradients | strains | strains | rotations | rotations | finite strain | finite strain | motivation | motivation | dislocation | dislocation | plates | plates | topography | topography | rock rheology | rock rheology | accretionary wedge | accretionary wedge | linear fluids | linear fluids | elastic models | elastic models | newtonian fluids | newtonian fluids | stream function | stream function | Rayleigh-Taylor instability | Rayleigh-Taylor instability | diapirism | diapirism | diapirs | diapirs | plumes | plumes | corner flow | corner flow | power law creep | power law creep | viscoelasticity | viscoelasticity | porous media | porous media | Elsasser model | Elsasser model | time dependent porous flow | time dependent porous flow

License

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1.103 Civil Engineering Materials Laboratory (MIT) 1.103 Civil Engineering Materials Laboratory (MIT)

Description

Includes audio/video content: AV special element video. This course introduces the concepts, techniques, and devices used to measure engineering properties of materials. There is an emphasis on measurement of load-deformation characteristics and failure modes of both natural and fabricated materials. Weekly experiments include data collection, data analysis, and interpretation and presentation of results. Includes audio/video content: AV special element video. This course introduces the concepts, techniques, and devices used to measure engineering properties of materials. There is an emphasis on measurement of load-deformation characteristics and failure modes of both natural and fabricated materials. Weekly experiments include data collection, data analysis, and interpretation and presentation of results.

Subjects

materials laboratory | materials laboratory | load-deformation characteristics | load-deformation characteristics | failure modes | failure modes | experiments | experiments | data collection | data collection | data analysis | data analysis | tension | tension | elastic behavior | elastic behavior | direct shear | direct shear | friction | friction | concrete | concrete | early age properties | early age properties | compression | compression | directionality | directionality | soil classification | soil classification | consolidation test | consolidation test | heat treatment | heat treatment

License

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22.14 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. Then

Subjects

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 | irradiation

License

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1.033 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 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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