Integration of nonlinear mixed hardening models

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 nonline...

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Bibliographic Details
Published in:Multidiscipline modeling in materials and structures 2011-01, Vol.7 (3), p.266-305
Main Authors: Rezaiee-Pajand, Mohammad, Nasirai, Cyrus, Sharifian, Mehrzad
Format: Article
Language:English
Subjects:
Constitutive equations
Constitutive relationships
Dynamical systems
Finite element method
Hardening
Mathematical analysis
Mathematical models
Nonlinearity
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Summary: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.
ISSN:1573-6105
1573-6113
DOI:10.1108/1536-540911178252