Table of Contents

1.

Introductory Remarks 1

2.

Concept of Stress 1

3.

Equations of Equilibrium 4

4.

Concept of Strain 6

5.

Strain-Displacement Relations 8

6.

Material Characterization 12

7.

Boundary Conditions 14

8.

Work done by External Forces 16

9.

Principle of Minimum Potential Energy 18

10.

A Uniqueness Theorem 20

11.

Deformation Field in an Axially Loaded Bar 20

12.

Bending of Beams by Terminal Couples 28

ESM/MSE 4984 Computer Simulation of Material Behavior

Continuum Mechanics