Geometrically nonlinear FEM analysis of 6-parameter resultant shell theory based on 2-D Cosserat constitutive model. (English) Zbl 07775013
Summary: 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.
{© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}
{© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim}
MSC:
| 74Kxx | Thin bodies, structures |
| 74Axx | Generalities, axiomatics, foundations of continuum mechanics of solids |
| 74Sxx | Numerical and other methods in solid mechanics |
Keywords:
Cosserat constitutive equations; micropolar constants; nonlinear six-parameter shell theory; drilling rotationSoftware:
HSLReferences:
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