2.094 | Spring 2011 | Graduate

# Finite Element Analysis of Solids and Fluids II

## Calendar

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

## Course Info

Spring 2011
##### Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes
Projects with Examples