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.
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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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

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[4] Brezzi, F. – Fortin, M. – Stenberg, R.: Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Math. Models and Meth. in Appl. Sci. 1 (1991), 125–151. | DOI | MR

[5] Ciarlet, P.G.: Basic error estimates for elliptic problems. Handbook of Numer. Analysis, ed. by P. G. Ciarlet and J. L. Lions. vol. II, North-Holland, Amsterdam, 1991, pp. 17–352. | MR

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