Coutand, Daniel Existence of a solution for a nonlinearly elastic plane membrane “under tension”. (English) Zbl 0966.74043 M2AN, Math. Model. Numer. Anal. 33, No. 5, 1019-1032 (1999). The purpose of this paper is to establish existence results for nonlinear membrane-plate equations [D. D. Fox, A. Raoult and J. C. Simo, Arch. Ration. Mech. Anal. 124, No. 2, 157-199 (1993; Zbl 0789.73039)], and to obtain some properties of the solutions. The energy functional associated with the nonlinear membrane model is coercive but not sequentially weakly lower semicontinuous. This forbids to apply the classical theorem of the calculus of variations. Reviewer: Rudolf Kodnár (Bratislava) Cited in 2 Documents MSC: 74K15 Membranes 74B20 Nonlinear elasticity 74G25 Global existence of solutions for equilibrium problems in solid mechanics (MSC2010) 74G65 Energy minimization in equilibrium problems in solid mechanics 35Q72 Other PDE from mechanics (MSC2000) Keywords:coercive non-lower semi-continuous energy functional; existence; nonlinear membrane-plate equations Citations:Zbl 0789.73039 PDFBibTeX XMLCite \textit{D. Coutand}, M2AN, Math. Model. Numer. Anal. 33, No. 5, 1019--1032 (1999; Zbl 0966.74043) Full Text: DOI EuDML Link