Constitutive model and finite element formulation for large strain elasto-plastic analysis of shells

作者: Y. Başar , M. Itskov

DOI: 10.1007/S004660050426

关键词: Strain hardening exponentFinite strain theoryFinite element methodIsotropyConstitutive equationShell (structure)Stress (mechanics)PhysicsMechanicsStructural engineeringMixed finite element method

摘要: This contribution presents a refined constitutive and finite element formulation for arbitrary shell structures undergoing large elasto-plastic deformations. An material model is developed by using the multiplicative decomposition of deformation gradient considering isotropic as well kinematic hardening phenomena in general form. A plastic anisotropy induced taken into account modifying flow direction. The elastic part deformations considered neo-Hookean type able to deal with strains. For an accurate prediction complex through-thickness stress distributions multi-layer kinematics used built on basis six-parametric theory capable strains rotations. To avoid membrane locking bending dominated cases volume caused incompressibility full range displacement based improved means enhanced assumed strain concept. capability algorithms proposed demonstrated various numerical examples involving strains, rotations distributions.

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