Cazacu, Oana; Barlat, Frédéric Generalization of Drucker’s yield criterion to orthotropy. (English) Zbl 1128.74303 Math. Mech. Solids 6, No. 6, 613-630 (2001). Summary: 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. Cited in 1 ReviewCited in 24 Documents MSC: 74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) 74E10 Anisotropy in solid mechanics PDFBibTeX XMLCite \textit{O. Cazacu} and \textit{F. Barlat}, Math. Mech. Solids 6, No. 6, 613--630 (2001; Zbl 1128.74303) Full Text: DOI References: [1] Hill, R., Proceedings: Mathematical, Physical and Engineering Science, Royal Society London 193 pp 281– (1948) [2] Hill, R., Mathematical Proceedings of the Cambridge Philosophical Society 75 pp 179– (1979) · Zbl 0388.73029 [3] Hill, R., Journal of the Mechanics and Physics of Solids 38 pp 405– (1990) · Zbl 0713.73044 [4] Bassani, J. L., International Journal of Mechanical Sciences 19 pp 651– (1977) [5] Barlat, F., International Journal of Plasticity 5 pp 51– (1989) [6] Barlat, F., International Journal of Plasticity 7 pp 693– (1991) [7] Barlat, F., Journal of the Mechanics and Physics of Solids 45 pp 1727– (1997) [8] Karafillis, A. P., Journal of the Mechanics and Physics of Solids 41 pp 1859– (1993) · Zbl 0792.73029 [9] Liu, S. I., International Journal of Engineering Science 20 pp 1099– (1982) · Zbl 0504.73001 [10] Drucker, D. C., Journal of Applied Mechanics 16 pp 349– (1949) [11] Cazacu, O., International Journal of Engineering Science (2001) [12] Zheng, Q. S., Applied Mechanics Review 47 pp 545– (1994) [13] Green, A. E., Large Elastic Deformations (1970) · Zbl 0227.73067 [14] Yoon, J. W., Sheet Metal Forming Simulation: Sing-Tang 65th Anniversary Volume (1999) [15] Barlat, F., International Journal of Mechanical Sciences (2000) [16] Bishop, JEW, Philosophical Magazine 42 pp 414– (1951) [17] Barlat, F., Materials Science and Engineering 91 pp 55– (1987) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.