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Design sensitivity and constraint approximation methods for optimization in non-linear analysis. (English) Zbl 0899.73330

Summary: For the finite element nonlinear analysis of engineering problems combined with an optimization method, we propose two techniques – a semi-analytical sensitivity method and bi-point constraint approximation. To validate the proposed methods, a raft foundation on a soil medium has been analyzed and the results have been compared. From the numerical results, it has been found that, for nonlinear analysis, the semi-analytical sensitivity method is more efficient than the finite difference method, and the bi-point approximation gives results which compare favourably with the finite element results.

MSC:

74P99 Optimization problems in solid mechanics
74L10 Soil and rock mechanics
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