engleski

On Numerical Modeling of Combined Isotropic-Kinematic Hardening at Large Strain Elastoplasticity

A computational algorithm for modeling of combined isotropic and kinematic hardening responses in a large strain elastoplastic analysis has been proposed. An associative flow rule and the von Mises yield criterion are applied. A hyperelastic approach and multiplicative decomposition of deformation gradient are adopted. The integration algorithm is based on the closest-point projection scheme, which is analogous to the algorithm of the infinitesimal theory. Assuming small elastic strain, the plastic spin is neglected in the kinematic hardening evolution equations. In order to ensure high convergence rate in the global iteration approach, a consistent elastoplastic tangent modulus is derived. The computational algorithm is implemented at the material point level of the shell finite element formulation allowing the use of complete three-dimensional constitutive laws. Robustness and efficiency of the proposed algorithm are demonstrated by numerical examples.

elastoplasticity; large strain; isotropic and kinematic hardening; finite element analysis

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