Author(s)

S. Mukherjee & L.J. Leu

Abstract

Keynote Address Sensitivity analysis and optimization problems in nonlinear solid mechanics S. Mukherjee, L.-J. Leu Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, ABSTRACT The objective of this paper is two-fold. First, it presents a boundary element formulation for sensitivity analysis for solid mechanics problems involving both material and geometric nonlinearities. The second focus is the use of such sensitivities to obtain optimal design for problems of this class. Numerical examples include sensitivity analysis for small (material nonlinearities only) and large-deformation problems. These numerical results are in good agreement with semi-analytical or direct integration results. Further, by using these sensitivities, a shape-optimization problem has been solved for a plate with a cutout involving only material nonlinearities. The difference between optimal shapes of solids, undergoing purely elastic or elasto-viscoplastic deformation is sho

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