Strain for scientists and engineers/Cauchy strain
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For simplicity, we make two assumptions:
- The deformation is such that the origin of a two-dimensional coordinate system remains motionless.
- All motion of points off the origin is linear. This is equivalent to stating that all partial derivatives of are constants.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Cauchy_strain_and_gradient_tensor.svg/220px-Cauchy_strain_and_gradient_tensor.svg.png)