Derivation and justification of the model of micropolar elastic shells from three-dimensional linearized micropolar elasticity

Article type: Research Article

Authors: Aganović, Ibrahim | Tambača, Josip | Tutek, Zvonimir

Affiliations: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia E-mails: {aga,tambaca,tutek}@math.hr

Abstract: In this paper we derive a two-dimensional model of elastic shell-like body from the three-dimensional linearized micropolar elasticity. Derivation is based on the asymptotic expansion method with respect to the thickness of the shell. The method is used without any a priori assumption on the scaling of the unknowns. The leading term, displacement and microrotation, is identified as the unique solution of a certain two-dimensional problem well defined for W1,∞ shells. Appropriate convergence results are proved.

Keywords: elastic shells, micropolar elasticity, asymptotic method, two-dimensional model, justification

Journal: Asymptotic Analysis, vol. 51, no. 3-4, pp. 335-361, 2007