Geodesic
Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements
Applications of Mathematics, Tome 41 (1996) no. 2, pp. 107-121.

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The problem to find an optimal thickness of the plate in a set of bounded Lipschitz continuous functions is considered. Mean values of the intensity of shear stresses must not exceed a given value. Using a penalty method and finite element spaces with interpolation to overcome the “locking” effect, an approximate optimization problem is proposed. We prove its solvability and present some convergence analysis.
DOI : 10.21136/AM.1996.134316
Classification : 49A22, 49J20, 65N30, 73k40, 74P99
Keywords: Reissner-Mindlin plate model; mixed-interpolated elements; weight minimization; penalty method 
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     title = {Weight minimization of elastic plates using {Reissner-Mindlin} model and mixed-interpolated elements},
     journal = {Applications of Mathematics},
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Hlaváček, Ivan. Weight minimization of elastic plates using Reissner-Mindlin model and mixed-interpolated elements. Applications of Mathematics, Tome 41 (1996) no. 2, pp. 107-121. doi : 10.21136/AM.1996.134316. http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134316/

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