The Calculation of Fourth-Rank Constitutive Parameters of Consistent Tangent Modulus and Plastic Modulus in Finite Element Analysis

Abstract:

Newton-Raphson method is used in global equilibrium for the numerical solution of elasto-plastic problems. It is necessary to determine the fourth-rank constitutive parameters of consistent tangent modulus in each integration point. Euler backward method and implicit stress integration is applied while constitutive model is implemented into ANSYS software. Take Chen, Jiao, and Kim model (2005) as an example, comparison of fourth-rank constitutive parameters and without fourth-rank constitutive parameters of consistent tangent modulus indicates that the convergence is obviously influenced by fourth-rank constitutive parameters of consistent tangent modulus for the larger load case, whereas the influence of plastic modulus is almost neglected.

• Periodical: Advanced Materials Research (Volumes 850-851)
• Pages: 800-803
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.850-851.800
• Online since: December 2013
• Authors: Xiao Hui Chen, Lian Jie Ma
• Keywords: Euler Backward Method, Fourth-Rank Constitutive Parameters, Implicit Stress Integration, Newton-Raphson Method, Plastic Modulus

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