TY  - JOUR
AB  - Purpose– The purpose of this paper is to present a new effective integration method for cyclic plasticity models.Design/methodology/approach– By defining an integrating factor and an augmented stress vector, the system of differential equations of the constitutive model is converted into a nonlinear dynamical system, which could be solved by an exponential map algorithm.Findings– The numerical tests show the robustness and high efficiency of the proposed integration scheme.Research limitations/implications– The von‐Mises yield criterion in the regime of small deformation is assumed. In addition, the model obeys a general nonlinear kinematic hardening and an exponential isotropic hardening.Practical implications– Integrating the constitutive equations in order to update the material state is one of the most important steps in a nonlinear finite element analysis. The accuracy of the integration method could directly influence the result of the elastoplastic analyses.Originality/value– The paper deals with integrating the constitutive equations in a nonlinear finite element analysis. This subject could be interesting for the academy as well as industry. The proposed exponential‐based integration method is more efficient than the classical strategies.
VL  - 7
IS  - 3
SN  - 1573-6105
DO  - 10.1108/1536-540911178252
UR  - https://doi.org/10.1108/1536-540911178252
AU  - Rezaiee‐Pajand Mohammad
AU  - Nasirai Cyrus
AU  - Sharifian Mehrzad
PY  - 2011
Y1  - 2011/01/01
TI  - Integration of nonlinear mixed hardening models
T2  - Multidiscipline Modeling in Materials and Structures
PB  - Emerald Group Publishing Limited
SP  - 266
EP  - 305
Y2  - 2024/04/20
ER  -