Numerical integration algorithm of a new model for metal plasticity and fracture including pressure and lode angle dependence

This paper describes an efficient numerical integration algorithm of a new model for metal plasticity and fracture [2]. The constitutive equations of the material model critically include both the effect of pressure through the triaxiality ratio and the effect of third deviatoric stress invariant th...

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Bibliographic Details
Published in:International journal of material forming Vol. 2; no. Suppl 1; pp. 443 - 446
Main Authors: Malcher, L., Andrade Pires, F. M., César de Sá, J. M. A., Andrade, F. X. C.
Format: Journal Article
Language:English
Published: Paris Springer-Verlag 01.08.2009
Subjects:
CAE) and Design
Computational Intelligence
Computer-Aided Engineering (CAD
D. Banabic
Engineering
L. Delannay
Machines
Manufacturing
Material behaviour and formability: F. Barlat
Materials Science
Mechanical Engineering
O.Cazacu
Processes
T. Kuwabara
Finite element method
Hydrostatic pressure sensitivity
Elasto-plastic model
Lode angle dependence
ISSN:1960-6206, 1960-6214
Online Access:Get full text
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Summary:This paper describes an efficient numerical integration algorithm of a new model for metal plasticity and fracture [2]. The constitutive equations of the material model critically include both the effect of pressure through the triaxiality ratio and the effect of third deviatoric stress invariant through the lode angle in the description of material. The necessary steps required to implement the model within an implicit quasi-static finite element environment are discussed. In particular, the stress update procedure, which is based on the so-called operator split concept resulting in the standard elastic predictor/return mapping algorithm, and the computation of tangent matrix consistent with the stress update are described. Finally, the convergence for large increments is illustrated and iso-error maps are used to analyse the accuracy and stability of the integration algorithm. The simulation of a cylindrical notched bar specimen subjected to tension [1] is presented to illustrate the robustness of the proposed algorithm.
ISSN:1960-6206
1960-6214
DOI:10.1007/s12289-009-0525-6