TY - EJOU
AU - TonkoviÄ‡, Zdenko
AU - SoriÄ‡, Jurica
AU - Skozrit, Ivica
TI - On Numerical Modeling of Cyclic Elastoplastic Response of Shell Structures
T2 - Computer Modeling in Engineering \& Sciences
PY - 2008
VL - 26
IS - 2
SN - 1526-1506
AB - An efficient numerical algorithm for modeling of cyclic elastoplastic deformation of shell structures is derived. The constitutive model includes highly nonlinear multi-component forms of kinematic and isotropic hardening functions in conjunction with von Mises yield criterion. Therein, the closest point projection algorithm employing the Reissner-Mindlin type kinematic model, completely formulated in tensor notation, is applied. A consistent elastoplastic tangent modulus ensures high convergence rates in the global iteration approach. The integration algorithm has been implemented into a layered assumed strain isoparametric finite shell element, which is capable of geometrical nonlinearities including finite rotations. Numerical examples, considering the symmetric and nonsymmetric loading controlled tests, illustrate the ratcheting effect and stabilization of the load-displacement response. Accuracy and robustness of the proposed algorithms are demonstrated.
KW - Shell structures
KW - Finite element analysis
KW - Cyclic elastoplasticity
KW - Nonlinear kinematic hardening
KW - Integration algorithm
KW - Tensor formulation
DO - 10.3970/cmes.2008.026.075