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A boundary element formulation for design sensitivities in materially nonlinear problems

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This paper presents a formulation for the determination of design sensitivities for shape optimization in materially nonlinear problems. This approach is based on direct differentiation (DDA) of the relevant boundary element method (BEM) formulation of the problem. It combines the accuracy advantages of the BEM without the difficulty of dealing with strongly singular kernels. This approach provides a new avenue towards efficient shape optimization of small strain elastic-viscoplastic and elastic-plastic problems.

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, Cornell University, Kimball Hall, 14853, Ithaca, New York, U.S.A.

    S. Mukherjee

  2. Department of Aerospace and mechanical Engineering, University of Arizoua, 85721, Tucson, Arizona, U.S.A.

    A. Chandra

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  1. S. Mukherjee
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  2. A. Chandra
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Mukherjee, S., Chandra, A. A boundary element formulation for design sensitivities in materially nonlinear problems. Acta Mechanica 78, 243–253 (1989). https://doi.org/10.1007/BF01179220

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