Advanced Mechanics of Materials and Applied Elasticity, Fifth Edition

Chapter 2. Strain and Material Properties

2.1 Introduction

In Chapter 1, our concern was with 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 to an analysis of stress, are also important quantities in themselves, for 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. A similar operation applies to the state of strain to develop the transformation relations that give two-dimensional and three-dimensional ...