# Pure Shear Questionthanks for your help!

## Homework Statement

Hey everyone. I was practicing some problems, and I came across one that seems pretty simple, yet I am having difficulty proving the answer. The question asks us to show that a state of pure shear causes no volume change in linear elastic deformation. I have a very good understanding on shear stresses and strains, however, this problem seems harder then it actually is. If someone could point me in the right direction I would appreciate it greatly!

## Homework Equations

Strain Eq, Stress Eq, Young's Modulus (standard elementary equations)

## The Attempt at a Solution

I have literally spent hours reading my book and working out problems, such as these. I seem to understand all of the formulas, however, I am having trouble proving the statement.

## Answers and Replies

radou
Homework Helper
What is the expression for volume deformation, i.e. how does it relate with the principal stresses? What are the values of these stresses for the pure shear state?