Regularized bie formulations for first- and second-order shape sensitivity of elastic fields

@inproceedings{Bonnet1995RegularizedBF,
  title={Regularized bie formulations for first- and second-order shape sensitivity of elastic fields},
  author={Marc Bonnet},
  year={1995}
}
The subject of this paper is the formulation of boundary integral equations for first- and second-order shape sensitivities of boundary elastic fields in three-dimensional bodies. Here the direct differentiation approach is considered. It relies on the repeated application of the material derivative concept to the governing regularized (i.e. weakly singular) displacement boundary integral equation (RDBIE) for an elastostatic state on a given domain. As a result, governing BIEs, which are also… CONTINUE READING

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