Assessment of the local stress state through macroscopic variables.

  title={Assessment of the local stress state through macroscopic variables.},
  author={Robert P. Lipton},
  journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences},
  volume={361 1806},
Macroscopic quantities beyond effective elastic tensors are presented that can be used to assess the local state of stress within a composite in the linear elastic regime. These are presented in a general homogenization context. It is shown that the gradient of the effective elastic property can be used to develop a lower bound on the maximum pointwise equivalent stress in the fine-scale limit. Upper bounds are more sensitive and are correlated with the distribution of states of the equivalent… CONTINUE READING

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