3D Stress-Strain Tensor Relations

This Demonstration considers stress-strain relationships in the mechanical behavior of materials. Stress is represented by a second-rank tensor with nine components. However, only six components are independent, since the tensor is symmetrical. We calculate the relationship between uniaxial stress/strain in 3D space. You can select values of Young's modulus and Poisson's ratio , which determine the strain state, represented by the strain tensor .

As well, consider rotation about the three Cartesian axes through selected angles. The stress and strain tensors are correspondingly transformed to and (not shown), while the physical situation is not changed.