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/ ___ \ | | |_| \__ \ |_| | | __/ (_| | | | | | \__ \
/_/ \_\___\___/|___/\__|_| \___|\__,_|_| |_| |_|___/
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YT 18 minutes 20 seconds
openmichigan
01.01. Introduction
YT 1 minute 33 seconds
openmichigan
01.01. Response to a question
YT 14 minutes 56 seconds
openmichigan
01.02. Vectors I
YT 2 minutes 4 seconds
openmichigan
01.02. Response to a question
YT 27 minutes 25 seconds
openmichigan
01.03. Vectors II
YT 24 minutes 41 seconds
openmichigan
01.04. Vectors III
YT 15 minutes 30 seconds
openmichigan
02.01. Tensors I
YT 11 minutes 59 seconds
openmichigan
02.02. Tensors II
YT 17 minutes 17 seconds
openmichigan
02.02. Response to a question
YT 21 minutes 16 seconds
openmichigan
02.03. Tensors III
YT 14 minutes 4 seconds
openmichigan
02.04. Tensor properties I
YT 16 minutes 7 seconds
openmichigan
02.05. Tensor properties I
YT 15 minutes 43 seconds
openmichigan
02.06. Tensor properties II
YT 13 minutes 55 seconds
openmichigan
02.07. Tensor properties II
YT 21 minutes 2 seconds
openmichigan
02.08. Tensor properties III
YT 9 minutes 22 seconds
openmichigan
02.09. Vector and tensor fields
YT 16 minutes 54 seconds
openmichigan
02.10. Vector and tensor fields
YT 14 minutes 29 seconds
openmichigan
03.01. Configurations
YT 14 minutes 31 seconds
openmichigan
03.02. Configurations
YT 18 minutes 32 seconds
openmichigan
03.03. Motion
YT 2 minutes 56 seconds
openmichigan
03.03. Response to a question
YT 2 minutes 59 seconds
openmichigan
03.03. Response to a follow up question
YT 14 minutes 32 seconds
openmichigan
03.04. The Lagrangian description of motion
YT 15 minutes 35 seconds
openmichigan
03.05. The Lagrangian description of motion
YT 14 minutes 10 seconds
openmichigan
03.06. The Eulerian description of motion
YT 14 minutes 7 seconds
openmichigan
03.07. The Eulerian description of motion
YT 14 minutes 11 seconds
openmichigan
03.08. The material time derivative
YT 16 minutes 52 seconds
openmichigan
03.09. The material time derivative
YT 1 minute 21 seconds
openmichigan
03.09. Response to a question
YT 23 minutes 41 seconds
openmichigan
04.01. The deformation gradient: mapping of curves
YT 18 minutes 8 seconds
openmichigan
04.02. The deformation gradient: mapping of surfaces and volumes
YT 14 minutes 25 seconds
openmichigan
04.03. The deformation gradient: mapping of surfaces and volumes
YT 22 minutes 51 seconds
openmichigan
04.04. The deformation gradient: a first order approximation of the deformation
YT 21 minutes
openmichigan
04.05. Stretch and strain tensors
YT 10 minutes 14 seconds
openmichigan
04.06. Stretch and strain tensors
YT 4 minutes 43 seconds
openmichigan
04.06. Response to a question
YT 22 minutes 3 seconds
openmichigan
04.07. The polar decomposition I
YT 11 minutes 30 seconds
openmichigan
04.08. The polar decomposition I
YT 14 minutes 21 seconds
openmichigan
04.09. The polar decomposition II
YT 16 minutes 12 seconds
openmichigan
04.10. The polar decomposition II
YT 3 minutes
openmichigan
04.10. Response to a question
YT 15 minutes 36 seconds
openmichigan
04.11. Velocity gradients, and rates of deformation
YT 15 minutes 46 seconds
openmichigan
04.12. Velocity gradients, and rates of deformation
YT 19 minutes 35 seconds
openmichigan
05.01. Balance of mass I
YT 8 minutes 32 seconds
openmichigan
05.02. Balance of mass I
YT 27 minutes 8 seconds
openmichigan
05.03. Balance of mass II
YT 14 minutes 51 seconds
openmichigan
05.04. Balance of mass II
YT 19 minutes 7 seconds
openmichigan
05.05. Reynolds' transport theorem I
YT 10 minutes 25 seconds
openmichigan
05.06. Reynolds' transport theorem I
YT 20 minutes 36 seconds
openmichigan
05.07. Reynolds' transport theorem II
YT 23 minutes 33 seconds
openmichigan
05.08. Reynolds' transport theorem III
YT 8 minutes 47 seconds
openmichigan
05.08. Response to a question
YT 24 minutes 38 seconds
openmichigan
05.09. Linear and angular momentum I
YT 18 minutes 18 seconds
openmichigan
05.10. Linear and angular momentum II
YT 16 minutes 41 seconds
openmichigan
05.11. The moment of inertia tensor
YT 27 minutes 50 seconds
openmichigan
05.12. The moment of inertia tensor
YT 18 minutes 37 seconds
openmichigan
05.13. The rate of change of angular momentum
YT 26 minutes 30 seconds
openmichigan
05.14. The balance of linear and angular momentum for deformable, continuum bodies
YT 18 minutes 38 seconds
openmichigan
05.15. The balance of linear and angular momentum for deformable, continuum bodies
YT 26 minutes 17 seconds
openmichigan
05.16. The Cauchy stress tensor
YT 19 minutes 55 seconds
openmichigan
05.17. Stress-- An Introduction
YT 23 minutes 2 seconds
openmichigan
06.01. Balance of energy
YT 11 minutes 13 seconds
openmichigan
06.01. Response to a question
YT 6 minutes 58 seconds
openmichigan
06.01. Response to a follow up question
YT 25 minutes 5 seconds
openmichigan
06.02. Additional measures of stress
YT 15 minutes 54 seconds
openmichigan
06.03. Additional measures of stress
YT 6 minutes 50 seconds
openmichigan
06.03. Response to a question
YT 12 minutes 34 seconds
openmichigan
06.03. Response to a follow up question
YT 25 minutes 57 seconds
openmichigan
06.04. Work conjugate forms
YT 29 minutes 6 seconds
openmichigan
06.05. Balance of linear momentum in the reference configuration
YT 15 minutes 29 seconds
openmichigan
07.01. Equations and unknowns--constitutive relations
YT 5 minutes 35 seconds
openmichigan
07.01. Response to a question
YT 27 minutes 3 seconds
openmichigan
07.02. Constitutitve equations
YT 29 minutes 16 seconds
openmichigan
07.03. Elastic solids and fluids--hyperelastic solids
YT 5 minutes 54 seconds
openmichigan
07.03. Response to a question
YT 17 minutes 44 seconds
openmichigan
08.01. Objectivity--change of observer
YT 14 minutes 47 seconds
openmichigan
08.02. Objectivity--change of observer
YT 20 minutes 10 seconds
openmichigan
08.03. Objective tensors, and objective constitutive relations
YT 11 minutes 6 seconds
openmichigan
08.04. Objective tensors, and objective constitutive relations
YT 29 minutes 18 seconds
openmichigan
08.05. Objectivity of hyperelastic strain energy density functions
YT 23 minutes 21 seconds
openmichigan
08.06. Examples of hyperelastic strain energy density functions
YT 10 minutes 8 seconds
openmichigan
08.07. Examples of hyperelastic strain energy density functions
YT 4 minutes 36 seconds
openmichigan
08.07. Response to a question
YT 14 minutes 27 seconds
openmichigan
08.08. The elasticity tensor in the reference configuration
YT 25 minutes
openmichigan
08.09. Elasticity tensor in the current configuration--objective rates
YT 11 minutes 40 seconds
openmichigan
08.10. Elasticity tensor in the current configuration--objective rates
YT 19 minutes 6 seconds
openmichigan
08.11. Objectivity of constitutive relations for viscous fluids
YT 28 minutes 15 seconds
openmichigan
08.12. Models of viscous fluids
YT 3 minutes 50 seconds
openmichigan
08.12. Response to a question
YT 25 minutes 21 seconds
openmichigan
08.13. Summary of initial and boundary value problems of continuum mechanics
YT 18 minutes 23 seconds
openmichigan
08.14. An initial and boundary value problem of fluid mechanics--the Navier Stokes equations
YT 14 minutes 58 seconds
openmichigan
08.15. An initial and boundary value problem of fluid mechanics--the Navier Stokes equation
YT 20 minutes 38 seconds
openmichigan
08.16. An initial and boundary value problem of fluid mechanics II
YT 28 minutes 26 seconds
openmichigan
08.17. Material symmetry 1--Isotropy
YT 3 minutes 18 seconds
openmichigan
08.17. Response to a question
YT 11 minutes 4 seconds
openmichigan
08.18. Material symmetry 2--Isotropy
YT 23 minutes 16 seconds
openmichigan
08.19. Material symmetry 2--Isotropy
YT 23 minutes 54 seconds
openmichigan
08.20. Material symmetry 3--Isotropy
YT 17 minutes 16 seconds
openmichigan
09.01. A boundary value problem in nonlinear elasticity I
YT 13 minutes 25 seconds
openmichigan
09.02. A boundary value problem in nonlinear elasticity I
YT 7 minutes 15 seconds
openmichigan
09.02. Response to a question
YT 17 minutes 43 seconds
openmichigan
09.03. A boundary value problem in nonlinear elasticity II--The inverse method
YT 12 minutes 1 second
openmichigan
09.03. Response to another question
YT 12 minutes 19 seconds
openmichigan
10.01. Linearized elasticity I
YT 18 minutes 36 seconds
openmichigan
10.02. Linearized elasticity I
YT 16 minutes 3 seconds
openmichigan
10.03. Linearized elasticity II
YT 16 minutes 24 seconds
openmichigan
10.04. Linearized elasticity II
YT 3 minutes 44 seconds
openmichigan
10.04. Response to a question
YT 22 minutes 26 seconds
openmichigan
10.05. Classical continuum mechanics: Books, and the road ahead
YT 15 minutes 57 seconds
openmichigan
11.01. The first law of thermodynamics the balance of energy
YT 12 minutes 30 seconds
openmichigan
11.02. The first law of thermodynamics the balance of energy
YT 16 minutes 41 seconds
openmichigan
11.03. The first law of thermodynamics the balance of energy
YT 14 minutes 48 seconds
openmichigan
11.04. The second law of thermodynamics the entropy inequality
YT 20 minutes 23 seconds
openmichigan
11.05. Legendre transforms the Helmholtz potential
YT 17 minutes 24 seconds
openmichigan
11.06. The Clausius Planck inequality
YT 22 minutes 57 seconds
openmichigan
11.07. The Clausius Duhem inequality
YT 5 minutes 33 seconds
openmichigan
11.07. Response to a question
YT 19 minutes 11 seconds
openmichigan
11.08. The heat transport equation
YT 25 minutes 23 seconds
openmichigan
11.09. Thermoelasticity
YT 22 minutes 53 seconds
openmichigan
11.10. The heat flux vector in the reference configuration
YT 12 minutes 37 seconds
openmichigan
12.01. The free energy functional
YT 19 minutes 59 seconds
openmichigan
12.02. The free energy functional
YT 26 minutes 43 seconds
openmichigan
12.03. Extremization of the free energy functional variational derivatives
YT 27 minutes 36 seconds
openmichigan
12.04. Euler Lagrange equations corresponding to the free energy functional
YT 23 minutes 42 seconds
openmichigan
12.05. The weak form and strong form of nonlinear elasticity
YT 20 minutes 17 seconds
openmichigan
12.06. The weak form and strong form of nonlinear elasticity
YT 19 minutes 20 seconds
openmichigan
13.01. The setting for mass transport
YT 11 minutes 38 seconds
openmichigan
13.02. The setting for mass transport
YT 20 minutes 25 seconds
openmichigan
13.03. Aside A unified treatment of boundary conditions
YT 20 minutes 19 seconds
openmichigan
13.04. The chemical potential
YT 14 minutes 52 seconds
openmichigan
13.05. The chemical potential
YT 16 minutes 5 seconds
openmichigan
13.06. Phase separation non convex free energy
YT 17 minutes 31 seconds
openmichigan
13.07. Phase separation non convex free energy
YT 27 minutes 7 seconds
openmichigan
13.08. The role of interfacial free energy
YT 23 minutes 27 seconds
openmichigan
13.09. The Cahn Hilliard formulation
YT 18 minutes 22 seconds
openmichigan
13.10. The Cahn Hilliard formulation