Readings are taken from the following text:
Bathe, K. J. Finite Element Procedures. 2nd ed. Klaus-Jürgen Bathe, 2014. ISBN: 9780979004957.
| LEC # | TOPICS | READINGS | KEY DATES |
|---|---|---|---|
| 1 | Large displacement analysis of solids/structures | Chapter 1 | |
| 2 | Finite element formulation of solids and structures | Chapter 1 and Sections 6.1-6.2 | |
| 3 | Finite element formulation of solids and structures (cont.) | Sections 6.1-6.2 | |
| 4 | Finite element formulation of solids and structures (cont.) | Chapter 4 | HW 1 due |
| 5 | Finite element displacement formulation (cont.) | Chapter 4 | HW 2 due |
| 6 | Finite element formulation, example, convergence | Example 4.6 | |
| 7 | Isoparametric elements | Sections 5.1-5.3, 5.5.5, and 4.3 | HW 3 due |
| 8 | Convergence of displacement-based FEM | Term project proposal due | |
| 9 | u and p formulation | Sections 4.4.3 and 4.5 | HW 4 due |
| 10 | Finite element large deformation/general nonlinear analysis | Chapter 6 | |
| 11 | Deformation, strain, and stress tensors | Chapter 6 and Example 6.6 | HW 5 due |
| Exam 1 | |||
| 12 | Total Lagrangian formulation | ||
| 13 | Total Lagrangian formulation (cont.) | HW 6 due | |
| 14 | Total Lagrangian formulation (cont.) | Section 4.3.6 | |
| 15 | Field problems | Sections 7.2-7.3 | |
| 16 | Finite element analysis of Navier-Stokes fluids | Sections 7.1-7.4 and Table 7.3 | HW 7 due |
| 17 | Incompressible fluid flow and heat transfer (cont.) | Section 7.4 | HW 8 due |
| 18 | Solution of finite element equations | Section 8.4 | |
| 19 | Slender structures | Sections 5.4 and 6.5 | HW 9 due |
| 20 | Beams, plates, and shells | Section 4.5.7 and Figure 5.25 | |
| 21 | Plates and shells |
HW 10 due Term project due | |
| Exam 2 |