A justification of a non-linear model of spherical shell

Article type: Research Article

Authors: Rao, Bopeng^;

Affiliations: Université de Nancy I, Département de Mathématiques, U.R.A. CNRS 750 and Projet Numath, INRIA Lorraine, B. P. 239, 54506 Vandœvre-lès-Nancy, France

Note: [] Correspondence to: B. Rao, Université de Nancy I, Département de Mathématiques, U.R.A. CNRS 750 and Projet Numath, INRIA Lorraine, B. P. 239, 54506 Vandœuvre-lès-Nancy, France.

Note: [] This work is part of the Project “Junctions in Elastic Multi-Structures” of the Program “S.C.I.E.N.C.E.” of the Commision of the European Communities (contract No. SC1*0473-C(EDB)).

Abstract: We consider a non-linear model of elastic spherical shell subjected to suitable hydrostatic pressure. Applying the method of asymptotic expansions to the general three-dimensional equilibrium equations, it is shown that the leading term of the expansions is a solution of a known two-dimensional model in non-linear shell theory.

DOI: 10.3233/ASY-1994-8304

Journal: Asymptotic Analysis, vol. 8, no. 3, pp. 259-276, 1994