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Non-quadratic anisotropic potentials based on linear transformation of plastic strain rate

Article dans une revue avec comité de lecture
Author
KIM, Daeyong
BARLAT, Frédéric
123499 Alcoa Technical Center
BOUVIER, Salima
239210 Laboratoire des Propriétés Mécaniques et Thermodynamiques des Matériaux [LPMTM]
RABAHALLAH, Meziane
CHUNG, Kwansoo
408431 Seoul Natl Univ, Sch Earth & Environm Sci, Seoul, South Korea
ccBALAN, Tudor
178323 Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux [LEM3]

URI
http://hdl.handle.net/10985/9911
DOI
10.1016/j.ijplas.2007.01.006
Date
2007
Journal
International Journal of Plasticity

Abstract

In this paper, anisotropic strain rate potentials based on linear transformations of the plastic strain rate tensor were reviewed in general terms. This type of constitutive models is suitable for application in forming simulations, particularly for finite element analysis and design codes based on rigid plasticity. Convex formulations were proposed to describe the anisotropic behavior of materials for a full 3-D plastic strain rate state (5 independent components for incompressible plasticity). The 4th order tensors containing the plastic anisotropy coefficients for orthotropic symmetry were specified. The method recommended for the determination of the coefficients using experimental mechanical data for sheet materials was discussed. The formulations were shown to be suitable for the constitutive modeling of FCC and BCC cubic materials. Moreover, these proposed strain rate potentials, called Srp2004-18p and Srp2006-18p, led to a description of plastic anisotropy, which was similar to that provided by a generalized stress potential proposed recently, Yld2004-18p. This suggests that these strain rate potentials are pseudo-conjugate of Yld2004-18.

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