Polar Decomposition of the Deformation Gradient Tensor

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The deformation gradient tensor F can be decomposed into two other tensors: the rotation tensor R and the stretch tensor U. Here we show step-by-step how to use polar decomposition to breakdown the deformation gradient tensor.

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  1. The Big BENG at UCSD
  2. deformation gradient tensor
  3. rotation tensor
  4. stretch tensor
  5. polar decomposition
  6. linear algebra
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