Stress-deformation relations for anisotropic solids

@inproceedings{Smith1957StressdeformationRF,
  title={Stress-deformation relations for anisotropic solids},
  author={George F. Smith and Ronald S. Rivlin},
  year={1957}
}
  • George F. Smith, Ronald S. Rivlin
  • Published 1957
  • Mathematics
  • We consider a body of material to be subjected to a deformation in which a point of the material initially at X i in a rectangular Cartesian coordinate system x i moves to x i in the same coordinate, system. In the theory of finite elasticity it is assumed that there exists a strain-energy function W which is a polynomial function of the displacement gradients ∂x i /∂X j only. 

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