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Geometrically nonlinear FEM analysis of 6‐parameter resultant shell theory based on 2‐D Cosserat constitutive model
Author(s) -
Burzyński S.,
Chróścielewski J.,
Witkowski W.
Publication year - 2016
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.201400092
Subject(s) - constitutive equation , shell (structure) , nonlinear system , finite element method , kinematics , stress resultants , plane (geometry) , stress (linguistics) , mathematical analysis , mathematics , plane stress , modulus , classical mechanics , shell theory , mechanics , physics , geometry , materials science , composite material , thermodynamics , linguistics , philosophy , quantum mechanics
We develop the elastic constitutive law for the resultant statically and kinematically exact, nonlinear, 6‐parameter shell theory. The Cosserat plane stress equations are integrated through‐the‐ thickness under assumption of the Reissner‐Mindlin kinematics. The resulting constitutive equations for stress resultant and couple resultants are expressed in terms of two micropolar constants: the micropolar modulus G c and the micropolar characteristic length l . Based on FEM simulations we evaluate their influence on the behaviour of shell models in the geometrically nonlinear range of deformations.