[Class] 连续介质力学.Krishna Garikipati.芝加哥大学(CC中英字幕)
A lecture from Lectures on Continuum Physics. Instructor: Krishna Garikipati. University of Michigan.
Term:2013
Published:December 11, 2013
Revised:June 23, 2014
Author: Krishna Garikipati
School: University of Michigan.
视频选集
（56/136）
01.01. Introduction
18:20
01.01. Response to a question
01:34
01.02. Vectors I
14:56
01.02. Response to a question
02:04
01.03. Vectors II
27:25
01.04. Vectors III
24:41
02.01. Tensors I
15:30
02.02. Response to a question
17:17
02.02. Tensors II
11:59
02.03. Tensors III
21:16
02.04. Tensor properties I
14:04
02.05. Tensor properties I
16:07
02.06. Tensor properties II
15:43
02.07. Tensor properties II
13:55
02.08. Tensor properties III
21:02
02.09. Vector and tensor fields
09:22
02.10. Vector and tensor fields
16:54
03.01. Configurations
14:29
03.02. Configurations
14:31
03.03. Motion
18:32
03.03. Response to a follow up question
02:59
03.03. Response to a question
02:56
03.04. The Lagrangian description of motion
14:32
03.05. The Lagrangian description of motion
15:35
03.06. The Eulerian description of motion
14:10
03.07. The Eulerian description of motion
14:08
03.08. The material time derivative
14:11
03.09. Response to a question
01:21
03.09. The material time derivative
16:52
04.01. The deformation gradient- mapping of curves
23:41
04.02. The deformation gradient- mapping of surfaces and volumes
18:08
04.03. The deformation gradient- mapping of surfaces and volumes
14:26
04.04. The deformation gradient- a first order approximation of the deformation
22:51
04.05. Stretch and strain tensors
21:00
04.06. Response to a question
04:43
04.06. Stretch and strain tensors
10:14
04.07. The polar decomposition I
22:03
04.08. The polar decomposition I
11:31
04.09. The polar decomposition II
14:21
04.10. Response to a question
03:00
04.10. The polar decomposition II
16:12
04.11. Velocity gradients, and rates of deformation
15:36
04.12. Velocity gradients, and rates of deformation
15:46
05.01. Balance of mass I
19:35
05.02. Balance of mass I
08:33
05.03. Balance of mass II
27:08
05.04. Balance of mass II
14:51
05.05. Reynolds' transport theorem I
19:08
05.06. Reynolds' transport theorem I
10:25
05.07. Reynolds' transport theorem II
20:36
05.08. Response to a question
08:47
05.08. Reynolds' transport theorem III
23:33
05.09. Linear and angular momentum I
24:38
05.10. Linear and angular momentum II
18:18
05.11. The moment of inertia tensor
16:41
05.12. The moment of inertia tensor
27:50
05.13. The rate of change of angular momentum
18:37
05.14. The balance of linear and angular momentum for deformable, continuum bodi
26:31
05.15. The balance of linear and angular momentum for deformable, continuum bodi
18:38
05.16. The Cauchy stress tensor
26:17
05.17. Stress-- An Introduction
19:55
06.01. Balance of energy
23:03
06.01. Response to a follow up question
06:58
06.01. Response to a question
11:13
06.02. Additional measures of stress
25:05
06.03. Additional measures of stress
15:54
06.03. Response to a follow up question
12:34
06.03. Response to a question
06:50
06.04. Work conjugate forms
25:58
06.05. Balance of linear momentum in the reference configuration
29:06
07.01. Equations and unknowns--constitutive relations
15:29
07.01. Response to a question
05:35
07.02. Constitutitve equations
27:03
07.03. Elastic solids and fluids--hyperelastic solids
29:16
07.03. Response to a question
05:54
08.01. Objectivity--change of observer
17:44
08.02. Objectivity--change of observer
14:47
08.03. Objective tensors, and objective constitutive relations
20:10
08.04. Objective tensors, and objective constitutive relations
11:06
08.05. Objectivity of hyperelastic strain energy density functions
29:18
08.06. Examples of hyperelastic strain energy density functions
23:21
08.07. Examples of hyperelastic strain energy density functions
10:08
08.07. Response to a question
04:36
08.08. The elasticity tensor in the reference configuration
14:27
08.09. Elasticity tensor in the current configuration--objective rates
25:00
08.10. Elasticity tensor in the current configuration--objective rates
11:40
08.11. Objectivity of constitutive relations for viscous fluids
19:06
08.12. Models of viscous fluids
28:15
08.12. Response to a question
03:50
08.13. Summary of initial and boundary value problems of continuum mechanics
25:21
08.14. An initial and boundary value problem of fluid mechanics--the Navier Stok
18:23
08.15. An initial and boundary value problem of fluid mechanics--the Navier Stok
14:58
08.16. An initial and boundary value problem of fluid mechanics II
20:38
08.17. Material symmetry 1--Isotropy
28:27
08.17. Response to a question
03:18
08.18. Material symmetry 2--Isotropy
11:04
08.19. Material symmetry 2--Isotropy
23:17
08.20. Material symmetry 3--Isotropy
23:54
09.01. A boundary value problem in nonlinear elasticity I
17:16
09.02. A boundary value problem in nonlinear elasticity I
13:25
09.02. Response to a question
07:15
09.03. A boundary value problem in nonlinear elasticity II--The inverse method
17:43
09.03. Response to another question
12:02
10.01. Linearized elasticity I
12:19
10.02. Linearized elasticity I
18:36
10.03. Linearized elasticity II
16:03
10.04. Linearized elasticity II
16:24
10.04. Response to a question
03:44
10.05. Classical continuum mechanics- Books, and the road ahead
22:26
11.01. The first law of thermodynamics the balance of energy
15:57
11.02. The first law of thermodynamics the balance of energy
12:30
11.03. The first law of thermodynamics the balance of energy
16:41
11.04. The second law of thermodynamics the entropy inequality
14:48
11.05. Legendre transforms the Helmholtz potential
20:23
11.06. The Clausius Planck inequality
17:24
11.07. Response to a question
05:33
11.07. The Clausius Duhem inequality
22:57
11.08. The heat transport equation
19:11
11.09. Thermoelasticity
25:23
11.10. The heat flux vector in the reference configuration
22:53
12.01. The free energy functional
12:37
12.02. The free energy functional
19:59
12.03. Extremization of the free energy functional variational derivatives
26:44
12.04. Euler Lagrange equations corresponding to the free energy functional
27:36
12.05. The weak form and strong form of nonlinear elasticity
23:42
12.06. The weak form and strong form of nonlinear elasticity
20:17
13.01. The setting for mass transport
19:20
13.02. The setting for mass transport
11:38
13.03. Aside A unified treatment of boundary conditions
20:25
13.04. The chemical potential
20:19
13.05. The chemical potential
14:52
13.06. Phase separation non convex free energy
16:05
13.07. Phase separation non convex free energy
17:31
13.08. The role of interfacial free energy
27:07
13.09. The Cahn Hilliard formulation
23:27
13.10. The Cahn Hilliard formulation
18:22
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