**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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