Page 342 - Introduction to Continuum Mechanics
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326 The Elastic Solid
Let
then
where <f>i and <f>2 are function of K .
Fig.5.19
The stress components are constants, therefore, the equations of equilibrium are clearly
satisfied.
If X^ = constant plane is free of stress, then
so that
where (<pi — <f>2) is sometimes called the generalized shear modulus in the particular undis-
torted state used as reference. It is an even function of K, the amount of shear. The surface
traction needed to maintain this simple shear state of deformation are as follows:
