Advanced Mechanics of Materials and Applied Elasticity, 6th Edition

Chapter 2. Strain and Material Properties

2.1 Introduction

In Chapter 1, we focused on the stresses within a body subject to a system of external forces. We now turn to the deformations caused by these forces and to a measure of deformational intensity called strain, discussed in Sections 2.3 through 2.5. Deformations and strains, which are necessary for an analysis of stress, are also important quantities in themselves: They relate to changes in the size and shape of a body.

Recall that the state of stress at a point can be determined if the stress components on mutually perpendicular planes are given. Much the same is true of the state of strain needed to develop the transformation relations that give two-dimensional and three-dimensional ...