Contents |
me338A - continuum mechanics
goals
basic concepts of finite elements, with applications to problems confronted by mechanical designers. linear static, modal, and thermal formulations; nonlinear and dynamic formulations. students implement simple element formulations. application of a commercial finite element code in analyzing design problems. issues: solution methods, modeling techniques features of various commercial codes, basic problem definition. Individual projects focus on the interplay of analysis and testing in product design and development. prerequisite: math103, or equivalent. recommended: me80, or equivalent in structural and/or solid mechanics; some exposure to principles of heat transfer.
grading
- 50 % homework - 3 homework assignments, 16.7% each
- 30 % midterm - open book, open notes
- 20 % project - final project
syllabus
| day | date | topic | notes | hw | |
|---|---|---|---|---|---|
| tue | apr | 01 | introduction - why potatoes? | ||
| thu | apr | 03 | vectors & tensors - vector algebra | ||
| tue | apr | 08 | vectors & tensors - tensor algebra | ||
| thu | apr | 10 | vectors & tensors - tensor analysis | h01 | |
| tue | apr | 15 | kinematics - configurations, deformation | ||
| thu | apr | 17 | kinematics - temporal derivatives | ||
| tue | apr | 22 | kinematics - spatial derivatives | ||
| thu | apr | 24 | kinematics - strain measures | h02 | |
| tue | apr | 29 | balance equations - mass, reynolds' transport theorem | ||
| thu | may | 01 | balance equations - momentum, concept of stress | ||
| tue | may | 06 | balance equations - moment of momentum, energy | ||
| thu | may | 08 | balance equations - entropy, master balance law | h03 | |
| tue | may | 13 | constitutive equations - hyperelasticity, isotropic | ||
| thu | may | 15 | constitutive equations - hyperelasticity, anisotropic | ||
| tue | may | 20 | midterm | ||
| thu | may | 22 | constitutive equations - viscoelasticity | ||
| tue | may | 27 | constitutive equations - elastodamage | ||
| thu | may | 29 | variational principles - virtual work | ||
| tue | jun | 03 | journal club - final project discussion |
suggested reading
holzapfel ga: nonlinear solid mechanics, a continuum approach for engineering, john wiley & sons, 2000