Derivation of a model of nonlinear micropolar plate
type: Item
instance of: scholarly article
title: Derivation of a model of nonlinear micropolar plate
zbMATH Open document ID: 1195.74106
author: Josip Tambača
author: Igor Velčić
published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche
publication date: 2009-12-02T00:00:00Z
review text: Starting from the equilibrium problem for three-dimensional nonlinear micropolar elastic plate-like bodies with nonlinear strains and linear constitutive law, the authors derive a two-dimensional model of nonlinear micropolar plate. To this end they use asymptotic expansions for deformation and microrotation on the middle plane of the plate. The plate model is formulated in terms of the deformation field, macrorotation vector and a function related to the rotation of the transversal segment of the plate around its axis. This model allows to describe the change of metrics, and contains fourth-order terms capturing the flexure of the plate, a term measuring the rotation of the transversal segment of the plate around its axis, and a term measuring shearability of the transversal segment of the plate.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74A35
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 5641476
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: macrorotation
zbMATH Keywords: microrotation
zbMATH Keywords: shearability
reviewed by: Marin I. Marin
MaRDI profile type: Publication
full work available at URL: s11565-008-0056-y
OpenAlex ID: W2003624688
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DOI: 10.1007/S11565-008-0056-Y
description: scientific article; zbMATH DE number 5641476