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FEM analysis of Cosserat plates and shells based on some constitutive relations
Author(s) -
Chróścielewski J.,
Witkowski W.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000090
Subject(s) - shell (structure) , constitutive equation , parametric statistics , finite element method , nonlinear system , mathematics , matrix (chemical analysis) , mathematical analysis , type (biology) , range (aeronautics) , classical mechanics , structural engineering , physics , materials science , engineering , composite material , ecology , statistics , quantum mechanics , biology
We carry out further study of the constitutive laws for Cosserat plates developed by Altenbach and Eremeyev. In particular, we examine the problem of choice of the micropolar material coefficients. Requiring that the constitutive matrix is positive definite, we establish some bounds on values of micropolar constants. The constitutive relations for Cosserat plates have been implemented into formulation of shell finite elements developed within the framework of the statically and kinematically exact, nonlinear six‐parameter shell theory. By the linear parametric‐sensitivity analysis we study the influence of the micropolar material constants on the response of shell structure with orthogonal intersections of branches. Such structures can naturally be analyzed using the six‐parameter shell theory. Having established the most influential coefficients, we show how these values affect the behavior of the structure in the nonlinear range of deformations.