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V.A. Eremeyev, "A Nonlinear Model of a Mesh Shell," Mech. Solids. 53 (4), 464-469 (2018)
Year 2018 Volume 53 Number 4 Pages 464-469
DOI 10.3103/S002565441804012X
Title A Nonlinear Model of a Mesh Shell
Author(s) V.A. Eremeyev (Gdańsk University of Technology (Politechnika Gdańska), 11/12 Gabriela Narutowicza St., 80-233 Gdańsk, Poland; Don State Technical University, pl. Yuriya Gagarina 1, Rostov-on-Don, 344000 Russia, eremeyev.victor@gmail.com)
Abstract For a certain class of elastic lattice shells experiencing finite deformations, a continual model using the equations of the so-called six-parameter shell theory has been proposed. Within this model, the kinematics of the shell is described using six kinematically independent scalar degrees of freedom - the field of displacements and turns, as in the case of the Cosserat continuum, which gives reason to call the model under consideration as the theory of micropolar shells. Nonlinear equations of state for the surface energy density of the shell deformation are derived. The obtained relations of the continuum model are a special case of the general defining relations of elastic micropolar shells for finite deformations.
Keywords mesh shells, framed curve, micropolar shells, nonlinear elasticity, equations of state
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Received 01 March 2018
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