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12.820 Turbulence in Geophysical Systems (MIT) 12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves. This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

Phenomena | theory | and modeling of turbulence | Phenomena | theory | and modeling of turbulence | oceans | oceans | atmosphere | atmosphere | fine structure | fine structure | planetary scale motions | planetary scale motions | homogeneous flows | homogeneous flows | geostrophic motions | geostrophic motions | shear flows | shear flows | convection | convection | boundary layers | boundary layers | stably stratified flows | stably stratified flows | internal waves | internal waves | turbulence flows | turbulence flows | earth | earth | energetics | energetics | isotropic homogeneous 2D turbulence | isotropic homogeneous 2D turbulence | isotropic homogeneous 3d flows | isotropic homogeneous 3d flows | quasi-geostrophic turbulence | quasi-geostrophic turbulence | parameterizing turbulence | parameterizing turbulence | wave dynamics | wave dynamics | turbulent dispersion | turbulent dispersion | coherent structures | coherent structures

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

Description

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

Subjects

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

License

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

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3.21 Kinetic Processes in Materials (MIT) 3.21 Kinetic Processes in Materials (MIT)

Description

This course presents a unified treatment of phenomenological and atomistic kinetic processes in materials. It provides the foundation for the advanced understanding of processing, microstructural evolution, and behavior for a broad spectrum of materials. The course emphasizes analysis and development of rigorous comprehension of fundamentals. Topics include: irreversible thermodynamics; diffusion; nucleation; phase transformations; fluid and heat transport; morphological instabilities; gas-solid, liquid-solid, and solid-solid reactions. This course presents a unified treatment of phenomenological and atomistic kinetic processes in materials. It provides the foundation for the advanced understanding of processing, microstructural evolution, and behavior for a broad spectrum of materials. The course emphasizes analysis and development of rigorous comprehension of fundamentals. Topics include: irreversible thermodynamics; diffusion; nucleation; phase transformations; fluid and heat transport; morphological instabilities; gas-solid, liquid-solid, and solid-solid reactions.

Subjects

Thermodynamics | Thermodynamics | field | field | gradient | gradient | continuity equation | continuity equation | irreversible thermodynamics | irreversible thermodynamics | entropy | entropy | Onsager's symmetry principle | Onsager's symmetry principle | diffusion | diffusion | capillarity | capillarity | stress | stress | diffusion equation | diffusion equation | crystal | crystal | jump process | jump process | jump rate | jump rate | diffusivity | diffusivity | interstitial | interstitial | Kroger-Vink | Kroger-Vink | grain boundary | grain boundary | isotropic | isotropic | Rayleigh instability | Rayleigh instability | Gibbs-Thomson | Gibbs-Thomson | particle coarsening | particle coarsening | growth kinetics | growth kinetics | phase transformation | phase transformation | nucleation | nucleation | spinoldal decomposition | spinoldal decomposition

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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12.820 Turbulence in Geophysical Systems (MIT)

Description

This course presents the phenomena, theory, and modeling of turbulence in the Earth's oceans and atmosphere. The scope ranges from the fine structure to planetary scale motions. The regimes of turbulence include homogeneous flows in two and three dimensions, geostrophic motions, shear flows, convection, boundary layers, stably stratified flows, and internal waves.

Subjects

Phenomena | theory | and modeling of turbulence | oceans | atmosphere | fine structure | planetary scale motions | homogeneous flows | geostrophic motions | shear flows | convection | boundary layers | stably stratified flows | internal waves | turbulence flows | earth | energetics | isotropic homogeneous 2D turbulence | isotropic homogeneous 3d flows | quasi-geostrophic turbulence | parameterizing turbulence | wave dynamics | turbulent dispersion | coherent structures

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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3.60 Symmetry, Structure, and Tensor Properties of Materials (MIT) 3.60 Symmetry, Structure, and Tensor Properties of Materials (MIT)

Description

This course covers the derivation of symmetry theory; lattices, point groups, space groups, and their properties; use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces; and applications to piezoelectricity and elasticity. This course covers the derivation of symmetry theory; lattices, point groups, space groups, and their properties; use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces; and applications to piezoelectricity and elasticity.

Subjects

crystallography | crystallography | rotation | rotation | translation | translation | lattice | lattice | plane | plane | point group | point group | space group | space group | motif | motif | glide plane | glide plane | mirror plane | mirror plane | reflection | reflection | spherical trigonometry | spherical trigonometry | binary compound | binary compound | coordination number | coordination number | ion | ion | crystal structure | crystal structure | tetrahedral | tetrahedral | octahedral | octahedral | packing | packing | monoclinic | monoclinic | triclinic | triclinic | orthorhombic | orthorhombic | cell | cell | screw axis | screw axis | eigenvector | eigenvector | stress | stress | strain | strain | anisotropy | anisotropy | anisotropic | anisotropic | piezoelectric | piezoelectric

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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16.20 Structural Mechanics (MIT)

Description

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

Subjects

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

License

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

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Fe, C 3.6, Si 2.1, Mg 0.07 (wt%), spheroidal graphite

Description

The addition of a small amount of Mg (0.07 wt%) significantly improves the mechanical properties of cast iron. The Mg poisons the favoured growth directions of the graphite allowing only isotropic growth and producing more equiaxed graphite. The graphite forms spheroidal graphite (black), which does not act as cracks.

Subjects

alloy | carbon | graphite | iron | isotropic | magnesium | metal | silicon | DoITPoMS | University of Cambridge | micrograph | corematerials | ukoer

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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Fe, C 3.6, Si 2.1, Mg 0.07 (wt%), spheroidal graphite

Description

The addition of a small amount of Mg (0.07 wt%) significantly improves the mechanical properties of cast iron. The Mg poisons the favoured growth directions of the graphite allowing only isotropic growth and producing more equiaxed graphite. The graphite forms spheroidal graphite (black), which does not act as cracks.

Subjects

alloy | carbon | graphite | iron | isotropic | magnesium | metal | silicon | DoITPoMS | University of Cambridge | micrograph | corematerials | ukoer

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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3.21 Kinetic Processes in Materials (MIT)

Description

This course presents a unified treatment of phenomenological and atomistic kinetic processes in materials. It provides the foundation for the advanced understanding of processing, microstructural evolution, and behavior for a broad spectrum of materials. The course emphasizes analysis and development of rigorous comprehension of fundamentals. Topics include: irreversible thermodynamics; diffusion; nucleation; phase transformations; fluid and heat transport; morphological instabilities; gas-solid, liquid-solid, and solid-solid reactions.

Subjects

Thermodynamics | field | gradient | continuity equation | irreversible thermodynamics | entropy | Onsager's symmetry principle | diffusion | capillarity | stress | diffusion equation | crystal | jump process | jump rate | diffusivity | interstitial | Kroger-Vink | grain boundary | isotropic | Rayleigh instability | Gibbs-Thomson | particle coarsening | growth kinetics | phase transformation | nucleation | spinoldal decomposition

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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TALAT Lecture 3701: Formability Characteristics of Aluminium Sheet

Description

This lecture describes the fundamental formability characteristics of automotive aluminium sheet metals. It aims at learning about the various methods to characterize the forming behaviour and the forming limits. General background in production engineering and sheet metal forming is assumed.

Subjects

aluminium | aluminum | european aluminium association | eaa | talat | training in aluminium application technologies | training | metallurgy | technology | lecture | machining | forming | forging | sheet | uniaxial tensile tests | preparing specimens | stress-strain curves | flow curves | strain-hardening exponent n | anisotropy | anisotropic values | rolling direction | vertical anisotropy | polar coordinates | aluminium body sheet alloys | car body sheet alloys | hydraulic bulge test | erichsen cupping test | cup drawing test according to swift | heat-treatable aluminium alloy | blank diameter to thickness ratio | limiting draw ratio | engelhardt drawability | forming limit diagram | fld | corematerials | 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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3.60 Symmetry, Structure, and Tensor Properties of Materials (MIT)

Description

This course covers the derivation of symmetry theory; lattices, point groups, space groups, and their properties; use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces; and applications to piezoelectricity and elasticity.

Subjects

crystallography | rotation | translation | lattice | plane | point group | space group | motif | glide plane | mirror plane | reflection | spherical trigonometry | binary compound | coordination number | ion | crystal structure | tetrahedral | octahedral | packing | monoclinic | triclinic | orthorhombic | cell | screw axis | eigenvector | stress | strain | anisotropy | anisotropic | piezoelectric

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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TALAT Lecture 3701: Formability Characteristics of Aluminium Sheet

Description

This lecture describes the fundamental formability characteristics of automotive aluminium sheet metals. It aims at learning about the various methods to characterize the forming behaviour and the forming limits. General background in production engineering and sheet metal forming is assumed.

Subjects

aluminium | aluminum | european aluminium association | EAA | Training in Aluminium Application Technologies | training | metallurgy | technology | lecture | machining | forming | forging | sheet | uniaxial tensile tests | preparing specimens | stress-strain curves | flow curves | strain-hardening exponent n | anisotropy | anisotropic values | rolling direction | vertical anisotropy | polar coordinates | aluminium body sheet alloys | car body sheet alloys | hydraulic bulge test | Erichsen cupping test | cup drawing test according to Swift | heat-treatable aluminium alloy | blank diameter to thickness ratio | limiting draw ratio | Engelhardt drawability | forming limit diagram | FLD | corematerials | ukoer

License

http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

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3.21 Kinetic Processes in Materials (MIT)

Description

This course presents a unified treatment of phenomenological and atomistic kinetic processes in materials. It provides the foundation for the advanced understanding of processing, microstructural evolution, and behavior for a broad spectrum of materials. The course emphasizes analysis and development of rigorous comprehension of fundamentals. Topics include: irreversible thermodynamics; diffusion; nucleation; phase transformations; fluid and heat transport; morphological instabilities; gas-solid, liquid-solid, and solid-solid reactions.

Subjects

Thermodynamics | field | gradient | continuity equation | irreversible thermodynamics | entropy | Onsager's symmetry principle | diffusion | capillarity | stress | diffusion equation | crystal | jump process | jump rate | diffusivity | interstitial | Kroger-Vink | grain boundary | isotropic | Rayleigh instability | Gibbs-Thomson | particle coarsening | growth kinetics | phase transformation | nucleation | spinoldal decomposition

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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Fe, C 3.6, Si 2.1, Mg 0.07 (wt%), spheroidal graphite

Description

The addition of a small amount of Mg (0.07 wt%) significantly improves the mechanical properties of cast iron. The Mg poisons the favoured growth directions of the graphite allowing only isotropic growth and producing more equiaxed graphite. The graphite forms spheroidal graphite (black), which does not act as cracks.

Subjects

alloy | carbon | graphite | iron | isotropic | magnesium | metal | silicon | doitpoms | university of cambridge | micrograph | corematerials | 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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Fe, C 3.6, Si 2.1, Mg 0.07 (wt%), spheroidal graphite

Description

The addition of a small amount of Mg (0.07 wt%) significantly improves the mechanical properties of cast iron. The Mg poisons the favoured growth directions of the graphite allowing only isotropic growth and producing more equiaxed graphite. The graphite forms spheroidal graphite (black), which does not act as cracks.

Subjects

alloy | carbon | graphite | iron | isotropic | magnesium | metal | silicon | doitpoms | university of cambridge | micrograph | corematerials | 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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