Engineering Asked on June 16, 2021
Why do we need to define the strain tensor if we already have a tensor that describes the deformation between relative particles in the continuum which is the deformation gradient tensor?
For a rigid body rotation, the deformation tensor is non-zero but the strain tensor is zero, and so is the stress in the body.
The strain tensor can be derived mathematically from the deformation tensor, but it does not represent the same physical concept.
Answered by alephzero on June 16, 2021
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