Finite strain in simple shear, inspected with Mohr circles for stretch

Abstract

The orientation and magnitude of the finite strain, built up in simple shear, and the orientation and rotation of material lines eventually parallel to the long principal axis of the strain ellipse have simple relationships with the shear strain. Off-axis Mohr circles for stretch and reciprocal stretch allow convenient proof of such relationships, whilst some of these are not often seen in existing structural literature. In particular, it is noted that the shear strain in ideal simple shear equals the difference of the principal stretches.