Constitutive model and finite element formulation for large strain elasto-plastic analysis of shells |
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Authors: | Y Ba?ar M Itskov |
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Affiliation: | Institut für Statik und Dynamik, Ruhr-Universit?t Bochum, Universit?tsstra?e 150, D-44780 Bochum, Germany, DE
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Abstract: | This contribution presents a refined constitutive and finite element formulation for arbitrary shell structures undergoing
large elasto-plastic deformations. An elasto-plastic material model is developed by using the multiplicative decomposition
of the deformation gradient and by considering isotropic as well as kinematic hardening phenomena in general form. A plastic
anisotropy induced by kinematic hardening is taken into account by modifying the flow direction. The elastic part of deformations
is considered by the neo-Hookean type of a material model able to deal with large strains. For an accurate prediction of complex
through-thickness stress distributions a multi-layer shell kinematics is used built on the basis of a six-parametric shell
theory capable to deal with large strains as well as finite rotations. To avoid membrane locking in bending dominated cases
as well as volume locking caused by material incompressibility in the full plastic range the displacement based finite element
formulation is improved by means of the enhanced assumed strain concept. The capability of the algorithms proposed is demonstrated
by various numerical examples involving large elasto-plastic strains, finite rotations and complex through-thickness stress
distributions. |
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Keywords: | |
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