On the optimal shape of a rigid body supported by an elastic membrane
type: Item
instance of: scholarly article
title: On the optimal shape of a rigid body supported by an elastic membrane
zbMATH Open document ID: 0941.49023
DOI: 10.1016/S0362-546X(98)00163-1
author: Alfred Wagner
author: Giuseppe Buttazzo
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-08-10T00:00:00Z
review text: The authors prove the existence of a solution to the problem of minimizing the Dirichlet potential (energy of deformation of a linear elastic membrane) that supports a rigid body, under any of the following assumptions: (i) the height of the body is constrained, or (ii) the volume of the body is prescribed. The result is obtained by applying a direct method after having stated a simpler equivalent problem.
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 1383358
zbMATH Keywords: optimal shape
zbMATH Keywords: elastic membrane
reviewed by: J. Frédéric Bonnans
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00163-1
OpenAlex ID: W2062372892
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description: scientific article; zbMATH DE number 1383358