Abstract
The local dependence of static response and eigenvalues on the shape of plates and plane elastic solids is characterized. The so-called material derivative method is used. The shape sensitivity analysis includes, besides linear problems, nonlinear problems with unilateral conditions, e.g., the frictionless contact problem for an elastic body on a rigid foundation. The results on shape sensitivity analysis can be used to obtain expressions for variations of integral functionals that arise in structural optimization problems.
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Communicated by E. J. Haug
The authors are indebted to Professor N. Olhoff and Dr. M. P. Bendsøe for stimulating discussions and valuable comments on design sensitivity analysis.
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Sokłowski, J., Zolesio, J.P. Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints. J Optim Theory Appl 54, 361–382 (1987). https://doi.org/10.1007/BF00939439
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DOI: https://doi.org/10.1007/BF00939439