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Mathematics and Mechanics of Solids
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Generalization of Drucker's Yield Criterion to Orthotropy

Oana Cazacu

Department of Aerospace Engineering, Mechanics and Engineering Science, University of Florida, Gainesville, FL 32611-6250, USA

Frédéric Barlat

Alcoa Inc., Alcoa Technical Center, 100 Technical Drive, Alcoa Center, PA 15069-0001, USA

Within the framework of the theory of representation, generalizations to anisotropic conditions of the invariants of the deviatoric stress are proposed. Using these generalized invariants, any isotropic yield criterion can be extended such as to describe any type of material symmetry. In this paper, we apply this method to extend to orthotropy Drucker's isotropic criterion. Comparison with data on aluminum alloys show that this new criterion describes with improved accuracy the anisotropy of the plastic response.

Key Words: anisotropic yielding • generalized invariants • theory of representation • aluminum alloys

Mathematics and Mechanics of Solids, Vol. 6, No. 6, 613-630 (2001)
DOI: 10.1177/108128650100600603
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