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Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

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Course Credit: Open Michigan

Course Curriculum

00:00
01.01. Response to a question 00:02:00
01.02. Response to a question 00:02:00
01.02. Vectors I 00:15:00
01.03. Vectors II 00:27:00
01.04. Vectors III 00:25:00
02.01. Tensors I 00:15:00
02.02. Response to a question 00:17:00
02.02. Tensors II 00:12:00
02.03. Tensors III 00:21:00
02.04. Tensor properties I 00:14:00
02.05. Tensor properties I 00:16:00
02.06. Tensor properties II 00:16:00
02.07. Tensor properties II 00:14:00
02.08. Tensor properties III 00:21:00
02.09. Vector and tensor fields 00:09:00
02.10. Vector and tensor fields 00:17:00
03.01. Configurations 00:14:00
03.02. Configurations 00:14:00
03.03. Motion 00:19:00
03.03. Response to a follow up question 00:03:00
03.03. Response to a question 00:03:00
03.04. The Lagrangian description of motion 00:14:00
03.05. The Lagrangian description of motion 00:24:00
03.06. The Eulerian description of motion 00:14:00
03.07. The Eulerian description of motion 00:14:00
03.08. The material time derivative 00:14:00
03.09. Response to a question 00:01:00
03.09. The material time derivative 00:17:00
04.01. The deformation gradient: mapping of curves 00:24:00
04.02. The deformation gradient: mapping of surfaces and volumes 00:18:00
04.03. The deformation gradient: mapping of surfaces and volumes 00:14:00
04.04. The deformation gradient: a first order approximation of the deformation 00:23:00
04.05. Stretch and strain tensors 00:21:00
04.06. Response to a question 00:05:00
04.06. Stretch and strain tensors 00:11:00
04.07. The polar decomposition I 00:22:00
04.08. The polar decomposition I 00:11:00
04.09. The polar decomposition II 00:14:00
04.10. Response to a question 00:03:00
04.10. The polar decomposition II 00:16:00
04.11. Velocity gradients, and rates of deformation 00:16:00
04.12. Velocity gradients, and rates of deformation 00:16:00
05.01. Balance of mass I 00:20:00
05.02. Balance of mass I 00:05:00
05.03. Balance of mass II 00:27:00
05.04. Balance of mass II 00:15:00
05.05. Reynolds’ transport theorem I 00:19:00
05.06. Reynolds’ transport theorem I 00:10:00
05.07. Reynolds’ transport theorem II 00:21:00
05.08. Response to a question 00:09:00
05.08. Reynolds’ transport theorem III 00:23:00
05.09. Linear and angular momentum I 00:24:00
05.09. Response to a question 00:25:00
05.10. Linear and angular momentum II 00:18:00
05.11. The moment of inertia tensor 00:17:00
05.12. The moment of inertia tensor 00:28:00
05.13. The rate of change of angular momentum 00:19:00
05.14. The balance of linear and angular momentum for deformable, continuum bodies 00:27:00
05.15. The balance of linear and angular momentum for deformable, continuum bodies 00:19:00
05.16. The Cauchy stress tensor 00:00:00
05.17. Stress– An Introduction 00:20:00
06.01. Balance of energy 00:23:00
06.01. Response to a follow up question 00:07:00
06.01. Response to a question 00:11:00
06.02. Additional measures of stress 00:25:00
06.03. Additional measures of stress 00:16:00
06.03. Response to a follow up question 00:13:00
06.03. Response to a question 00:07:00
06.04. Work conjugate forms 00:26:00
06.05. Balance of linear momentum in the reference configuration 00:29:00
07.01. Equations and unknowns–constitutive relations 00:15:00
07.01. Response to a question 00:06:00
07.02. Constitutitve equations 00:27:00
07.03. Elastic solids and fluids–hyperelastic solids 00:29:00
07.03. Response to a question 00:06:00
08.01. Objectivity–change of observer 00:18:00
08.02. Objectivity–change of observer 00:15:00
08.03. Objective tensors, and objective constitutive relations 00:20:00
08.04. Objective tensors, and objective constitutive relations 00:11:00
08.05. Objectivity of hyperelastic strain energy density functions 00:29:00
08.06. Examples of hyperelastic strain energy density functions 00:23:00
08.07. Examples of hyperelastic strain energy density functions 00:10:00
08.07. Response to a question 00:04:00
08.08. The elasticity tensor in the reference configuration 00:14:00
08.09. Elasticity tensor in the current configuration–objective rates 00:25:00
08.10. Elasticity tensor in the current configuration–objective rates 00:12:00
08.11. Objectivity of constitutive relations for viscous fluids 00:19:00
08.12. Models of viscous fluids 00:28:00
08.12. Response to a question 00:04:00
08.13. Summary of initial and boundary value problems of continuum mechanics 00:25:00
08.14. An initial and boundary value problem of fluid mechanics–the Navier Stokes equations 00:18:00
08.15. An initial and boundary value problem of fluid mechanics–the Navier Stokes equation 00:15:00
08.16. An initial and boundary value problem of fluid mechanics II 00:21:00
08.17. Material symmetry 1–Isotropy 00:28:00
08.17. Response to a question 00:03:00
08.18. Material symmetry 2–Isotropy 00:11:00
08.19. Material symmetry 2–Isotropy 00:23:00
08.20. Material symmetry 3–Isotropy 00:24:00
09.01. A boundary value problem in nonlinear elasticity I 00:17:00
09.02. A boundary value problem in nonlinear elasticity I 00:13:00
09.02. Response to a question 00:07:00
09.03. A boundary value problem in nonlinear elasticity II–The inverse method 00:17:00
09.03. Response to another question 00:12:00
10.01. Linearized elasticity I 00:12:00
10.02. Linearized elasticity I 00:18:00
10.03. Linearized elasticity II 00:16:00
10.04. Linearized elasticity II 00:16:00
10.04. Response to a question 00:04:00
10.05. Classical continuum mechanics: Books, and the road ahead 00:22:00
11.01. The first law of thermodynamics the balance of energy 00:16:00
11.02. The first law of thermodynamics the balance of energy 00:11:00
11.03. The first law of thermodynamics the balance of energy 00:17:00
11.04. The second law of thermodynamics the entropy inequality 00:19:00
11.05. Legendre transforms the Helmholtz potential 00:20:00
11.06. The Clausius Planck inequality 00:17:00
11.07. Response to a question 00:06:00
11.07. The Clausius Duhem inequality 00:22:00
11.08. The heat transport equation 00:19:00
11.09. Thermoelasticity 00:25:00
11.10. The heat flux vector in the reference configuration 00:23:00
12.01. The free energy functional 00:13:00
12.02. The free energy functional 00:20:00
12.03. Extremization of the free energy functional-variational derivatives 00:27:00
12.04. Euler Lagrange equations corresponding to the free energy functional 00:28:00
12.05. The weak form and strong form of nonlinear elasticity 00:24:00
12.06. The weak form and strong form of nonlinear elasticity 00:20:00
13.01. The setting for mass transport 00:19:00
13.02. The setting for mass transport 00:12:00
13.03. Aside A unified treatment of boundary conditions 00:20:00
13.04. The chemical potential 00:20:00
13.05. The chemical potential 00:15:00
13.06. Phase separation non convex free energy 00:16:00
13.07. Phase separation non convex free energy 00:17:00
13.08. The role of interfacial free energy 00:27:00
13.09. The Cahn Hilliard formulation 00:23:00
13.10. The Cahn Hilliard formulation 00:18:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

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