- Project should be based on one/multiple aspects of the material presented in class, but are otherwise open: they can be related to an aspect of your research, a comparative literature review, the writing of a code to solve a continuum mechanics problem, etc.
Topics discussed/to be discussed in class:
- Introduction. Review of Vectors and Tensors, including indicial notation, matrix representation and transformation laws
- Tensor calculus. Description of motion and deformation; strain measures
- Infinitesimal strain tensor; Velocity gradient; Compatibility equations.
- Rigid body motion and Material objectivity; Polar decomposition. The concept of stress; Cauchy stress tensor; and Transformation of stress components.
- Conservation of linear and angular momentum. Other stress measures.
- Constitutive equations for elastic material, Hooke’s law.
- Linearized elasticity.
- Non-linear elastic constitutive equations. Newtonian fluids.
- Generalized Newtonian fluids, Heat transfer.
- Constitutive equations for coupled problems, Nonlinear elasticity, Anisotropic materials.
- Thermodynamic principles. Conservation of mass.
- Heat transfer problems. Fluid mechanics problems.
- Linearized viscoelasticity.
Project Proposal:
- Project proposal: 1 page including references and figures (if any).
- All reports must be written in Microsoft Word or LaTex using Arial font size 11 and a page margin of 0.75 inches. Must be written in proper scientific English. Proper writing requires a significant amount of time and many drafts.
Project Final Report:
- Project final report: 5 pages (max) including references and figures.
- Project presentation: 3 minutes + 2 minutes for questions (subject to change). Create a small power point presentation.
- All projects will be evaluated based on: 1) Difficulty; 2) Scientific quality; 3) Clarity of presentation.
- All reports must be written in Microsoft Word or LaTex using Arial font size 11 and a page margin of 0.75 inches. Must be written in proper scientific English. Proper writing requires a significant amount of time and many drafts.
