Lectures on Continuum Physics

Video Lectures

Displaying all 138 video lectures.
Lecture 1
Introduction
Play Video		 Introduction
Lecture 2
Response to a question
Play Video		 Response to a question
Lecture 3
Vectors I
Play Video		 Vectors I
Lecture 4
Response to a question
Play Video		 Response to a question
Lecture 5
Vectors II
Play Video		 Vectors II
Lecture 6
Vectors III
Play Video		 Vectors III
Lecture 7
Tensors I
Play Video		 Tensors I
Lecture 8
Tensors II
Play Video		 Tensors II
Lecture 9
Response to a question
Play Video		 Response to a question
Lecture 10
Tensors III
Play Video		 Tensors III
Lecture 11
Tensor properties I
Play Video		 Tensor properties I
Lecture 12
Tensor properties I
Play Video		 Tensor properties I
Lecture 13
Tensor properties II
Play Video		 Tensor properties II
Lecture 14
Tensor properties II
Play Video		 Tensor properties II
Lecture 15
Tensor properties III
Play Video		 Tensor properties III
Lecture 16
Vector and tensor fields
Play Video		 Vector and tensor fields
Lecture 17
Vector and tensor fields
Play Video		 Vector and tensor fields
Lecture 18
Configurations
Play Video		 Configurations
Lecture 19
Configurations
Play Video		 Configurations
Lecture 20
Motion
Play Video		 Motion
Lecture 21
Response to a question
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Lecture 22
Response to a follow up question
Play Video		 Response to a follow up question
Lecture 23
The Lagrangian description of motion
Play Video		 The Lagrangian description of motion
Lecture 24
The Lagrangian description of motion
Play Video		 The Lagrangian description of motion
Lecture 25
The Eulerian description of motion
Play Video		 The Eulerian description of motion
Lecture 26
The Eulerian description of motion
Play Video		 The Eulerian description of motion
Lecture 27
The material time derivative
Play Video		 The material time derivative
Lecture 28
The material time derivative
Play Video		 The material time derivative
Lecture 29
Response to a question
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Lecture 30
The deformation gradient: mapping of curves
Play Video		 The deformation gradient: mapping of curves
Lecture 31
The deformation gradient: mapping of surfaces and volumes
Play Video		 The deformation gradient: mapping of surfaces and volumes
Lecture 32
The deformation gradient: mapping of surfaces and volumes
Play Video		 The deformation gradient: mapping of surfaces and volumes
Lecture 33
The deformation gradient: a first order approximation of the deformation
Play Video		 The deformation gradient: a first order approximation of the deformation
Lecture 34
Stretch and strain tensors
Play Video		 Stretch and strain tensors
Lecture 35
Stretch and strain tensors
Play Video		 Stretch and strain tensors
Lecture 36
The polar decomposition I
Play Video		 The polar decomposition I
Lecture 37
Response to a question
Play Video		 Response to a question
Lecture 38
The polar decomposition I
Play Video		 The polar decomposition I
Lecture 39
The polar decomposition II
Play Video		 The polar decomposition II
Lecture 40
The polar decomposition II
Play Video		 The polar decomposition II
Lecture 41
Velocity gradients, and rates of deformation
Play Video		 Velocity gradients, and rates of deformation
Lecture 42
Response to a question
Play Video		 Response to a question
Lecture 43
Velocity gradients, and rates of deformation
Play Video		 Velocity gradients, and rates of deformation
Lecture 44
Balance of mass I
Play Video		 Balance of mass I
Lecture 45
Balance of mass I
Play Video		 Balance of mass I
Lecture 46
Balance of mass II
Play Video		 Balance of mass II
Lecture 47
Balance of mass II
Play Video		 Balance of mass II
Lecture 48
Reynolds' transport theorem I
Play Video		 Reynolds' transport theorem I
Lecture 49
Reynolds' transport theorem I
Play Video		 Reynolds' transport theorem I
Lecture 50
Reynolds' transport theorem II
Play Video		 Reynolds' transport theorem II
Lecture 51
Reynolds' transport theorem III
Play Video		 Reynolds' transport theorem III
Lecture 52
Response to a question
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Lecture 53
Linear and angular momentum I
Play Video		 Linear and angular momentum I
Lecture 54
Correction to boardwork
Play Video		 Correction to boardwork
Lecture 55
Response to a question
Play Video		 Response to a question
Lecture 56
Linear and angular momentum II
Play Video		 Linear and angular momentum II
Lecture 57
The moment of inertia tensor
Play Video		 The moment of inertia tensor
Lecture 58
The moment of inertia tensor
Play Video		 The moment of inertia tensor
Lecture 59
The rate of change of angular momentum
Play Video		 The rate of change of angular momentum
Lecture 60
The balance of linear and angular momentum for deformable, continuum bodies
Play Video		 The balance of linear and angular momentum for deformable, continuum bodies
Lecture 61
The balance of linear and angular momentum for deformable, continuum bodies
Play Video		 The balance of linear and angular momentum for deformable, continuum bodies
Lecture 62
The Cauchy stress tensor
Play Video		 The Cauchy stress tensor
Lecture 63
Stress-- An Introduction
Play Video		 Stress-- An Introduction
Lecture 64
Balance of energy
Play Video		 Balance of energy
Lecture 65
Response to a question
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Lecture 66
Response to a follow up question
Play Video		 Response to a follow up question
Lecture 67
Additional measures of stress
Play Video		 Additional measures of stress
Lecture 68
Additional measures of stress
Play Video		 Additional measures of stress
Lecture 69
Response to a question
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Lecture 70
Response to a follow up question
Play Video		 Response to a follow up question
Lecture 71
Work conjugate forms
Play Video		 Work conjugate forms
Lecture 72
Balance of linear momentum in the reference configuration
Play Video		 Balance of linear momentum in the reference configuration
Lecture 73
Equations and unknowns--constitutive relations
Play Video		 Equations and unknowns--constitutive relations
Lecture 74
Response to a question
Play Video		 Response to a question
Lecture 75
Constitutitve equations
Play Video		 Constitutitve equations
Lecture 76
Elastic solids and fluids--hyperelastic solids
Play Video		 Elastic solids and fluids--hyperelastic solids
Lecture 77
Response to a question
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Lecture 78
Objectivity--change of observer
Play Video		 Objectivity--change of observer
Lecture 79
Objectivity--change of observer
Play Video		 Objectivity--change of observer
Lecture 80
Objective tensors, and objective constitutive relations
Play Video		 Objective tensors, and objective constitutive relations
Lecture 81
Objective tensors, and objective constitutive relations
Play Video		 Objective tensors, and objective constitutive relations
Lecture 82
Objectivity of hyperelastic strain energy density functions
Play Video		 Objectivity of hyperelastic strain energy density functions
Lecture 83
Examples of hyperelastic strain energy density functions
Play Video		 Examples of hyperelastic strain energy density functions
Lecture 84
Examples of hyperelastic strain energy density functions
Play Video		 Examples of hyperelastic strain energy density functions
Lecture 85
Response to a question
Play Video		 Response to a question
Lecture 86
The elasticity tensor in the reference configuration
Play Video		 The elasticity tensor in the reference configuration
Lecture 87
Elasticity tensor in the current configuration--objective rates
Play Video		 Elasticity tensor in the current configuration--objective rates
Lecture 88
Elasticity tensor in the current configuration--objective rates
Play Video		 Elasticity tensor in the current configuration--objective rates
Lecture 89
Objectivity of constitutive relations for viscous fluids
Play Video		 Objectivity of constitutive relations for viscous fluids
Lecture 90
Models of viscous fluids
Play Video		 Models of viscous fluids
Lecture 91
Response to a question
Play Video		 Response to a question
Lecture 92
Summary of initial and boundary value problems of continuum mechanics
Play Video		 Summary of initial and boundary value problems of continuum mechanics
Lecture 93
An initial and boundary value problem of fluid mechanics--the Navier Stokes equations
Play Video		 An initial and boundary value problem of fluid mechanics--the Navier Stokes equations
Lecture 94
An initial and boundary value problem of fluid mechanics--the Navier Stokes equation
Play Video		 An initial and boundary value problem of fluid mechanics--the Navier Stokes equation
Lecture 95
An initial and boundary value problem of fluid mechanics II
Play Video		 An initial and boundary value problem of fluid mechanics II
Lecture 96
Material symmetry 1--Isotropy
Play Video		 Material symmetry 1--Isotropy
Lecture 97
Response to a question
Play Video		 Response to a question
Lecture 98
Material symmetry 2--Isotropy
Play Video		 Material symmetry 2--Isotropy
Lecture 99
Material symmetry 2--Isotropy
Play Video		 Material symmetry 2--Isotropy
Lecture 100
Material symmetry 3--Isotropy
Play Video		 Material symmetry 3--Isotropy
Lecture 101
A boundary value problem in nonlinear elasticity I
Play Video		 A boundary value problem in nonlinear elasticity I
Lecture 102
A boundary value problem in nonlinear elasticity I
Play Video		 A boundary value problem in nonlinear elasticity I
Lecture 103
Response to a question
Play Video		 Response to a question
Lecture 104
A boundary value problem in nonlinear elasticity II--The inverse method
Play Video		 A boundary value problem in nonlinear elasticity II--The inverse method
Lecture 105
Response to another question
Play Video		 Response to another question
Lecture 106
Linearized elasticity I
Play Video		 Linearized elasticity I
Lecture 107
Linearized elasticity I
Play Video		 Linearized elasticity I
Lecture 108
Linearized elasticity II
Play Video		 Linearized elasticity II
Lecture 109
Linearized elasticity II
Play Video		 Linearized elasticity II
Lecture 110
Response to a question
Play Video		 Response to a question
Lecture 111
Classical continuum mechanics: Books, and the road ahead
Play Video		 Classical continuum mechanics: Books, and the road ahead
Lecture 112
The first law of thermodynamics the balance of energy
Play Video		 The first law of thermodynamics the balance of energy
Lecture 113
The first law of thermodynamics the balance of energy
Play Video		 The first law of thermodynamics the balance of energy
Lecture 114
The first law of thermodynamics the balance of energy
Play Video		 The first law of thermodynamics the balance of energy
Lecture 115
The second law of thermodynamics the entropy inequality
Play Video		 The second law of thermodynamics the entropy inequality
Lecture 116
Legendre transforms the Helmholtz potential
Play Video		 Legendre transforms the Helmholtz potential
Lecture 117
The Clausius Planck inequality
Play Video		 The Clausius Planck inequality
Lecture 118
The Clausius Duhem inequality
Play Video		 The Clausius Duhem inequality
Lecture 119
Response to a question
Play Video		 Response to a question
Lecture 120
The heat transport equation
Play Video		 The heat transport equation
Lecture 121
Thermoelasticity
Play Video		 Thermoelasticity
Lecture 122
The heat flux vector in the reference configuration
Play Video		 The heat flux vector in the reference configuration
Lecture 123
The free energy functional
Play Video		 The free energy functional
Lecture 124
The free energy functional
Play Video		 The free energy functional
Lecture 125
Extremization of the free energy functional variational derivatives
Play Video		 Extremization of the free energy functional variational derivatives
Lecture 126
Euler Lagrange equations corresponding to the free energy functional
Play Video		 Euler Lagrange equations corresponding to the free energy functional
Lecture 127
The weak form and strong form of nonlinear elasticity
Play Video		 The weak form and strong form of nonlinear elasticity
Lecture 128
The weak form and strong form of nonlinear elasticity
Play Video		 The weak form and strong form of nonlinear elasticity
Lecture 129
The setting for mass transport
Play Video		 The setting for mass transport
Lecture 130
The setting for mass transport
Play Video		 The setting for mass transport
Lecture 131
Aside A unified treatment of boundary conditions
Play Video		 Aside A unified treatment of boundary conditions
Lecture 132
The chemical potential
Play Video		 The chemical potential
Lecture 133
The chemical potential
Play Video		 The chemical potential
Lecture 134
Phase separation non convex free energy
Play Video		 Phase separation non convex free energy
Lecture 135
Phase separation non convex free energy
Play Video		 Phase separation non convex free energy
Lecture 136
The role of interfacial free energy
Play Video		 The role of interfacial free energy
Lecture 137
The Cahn Hilliard formulation
Play Video		 The Cahn Hilliard formulation
Lecture 138
The Cahn Hilliard formulation
Play Video		 The Cahn Hilliard formulation