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On some constitutive equations for micropolar plates
Author(s) -
Chróścielewski J.,
Witkowski W.
Publication year - 2010
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.200900366
Subject(s) - constitutive equation , finite element method , shell (structure) , stiffness , nonlinear system , mathematics , mathematical analysis , physics , structural engineering , materials science , engineering , composite material , quantum mechanics
In this paper we discuss the constitutive relations for micropolar plates recently obtained by Altenbach and Eremeyev. We pay particular attention to their relation for the resultant drilling stress couple and compare it with that used so far in the statically and kinematically exact nonlinear six‐parameter shell theory. Using the results of Altenbach and Eremeyev, we present bounds on values of the constitutive parameter α t from the six‐parameter shell theory model. Some representative numerical simulations show how the drilling stiffness α t affects the FEM results.