By Mao-hong Yu
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Eng. London 131, 186 –205, 260–265. Davis EA ͑1961͒, The Bailey flow rule and associated yield surface, ASME J. Appl. , 28͑1͒, 310. Hosford Jr WF ͑1972͒, A generalized isotropic yield creterion, ASME J. Appl. , E39͑2͒, 607– 609. Barlat F and Lian J ͑1989͒, Plastic behavior and stretchability of sheet metals, Part One: A yield function for orthotropic sheets under plane strain condition, Int. J. , 5, 51–56. Owen DRJ and Peric D ͑1992͒, Recent developments in the application of finite element methods to nonlinear problems, Computationnal Methods in Engineering: Advances & Applications, AAO Tay and KY Lam ͑eds͒, Singapore, World Scientific, 3–14.
Koiter WT ͑1953͒, Stress-strain relations, uniqueness and variational theorem for elastic-plastic material with a singlar yield surface, Q. Appl. , 11͑3͒, 29–53. Prager W ͑1953͒, On the use of singular yield conditions and associated flow rules, ASME J. Appl. , 20, 317–320. Hodge Jr PG ͑1957͒, A general theory of piecewise linear isotropic plasticity based on maximum shear, J. Mech. Phys. Solids, 5, 242– 260. Thomas TY ͑1957͒, Extended compatibility conditions for the study of surfaces of discontinuity in continuum mechanics, J.
Choosing of yield criteria has a marked effect on the prediction of the Forming Limit Diagram ͑FLD͒. This conclusion was given by Chan ͓962͔, Wagoner and Knibloe ͓958͔, Frieman and Pan ͓960͔, Cao-Yao-Karafillis-Boyce ͓949͔, and Kuroda and Tvergaard ͓963͔. The effects of failure criteria on deformation and discontinuous bifurcation, localization behavior, etc were researched by Mean-Hutchinson ͓1153͔, Tvergaard ͓252͔, YK Lee-Ghosh ͓144͔, Hopperstad et al ͓959͔, Zyczkowski ͓1159͔, Brunig et al ͓739͔, Zhang and Yu ͓1160͔, and others ͓1156 –1159͔.
Advances in strength theories for materials under complex stress state in the 20th Century by Mao-hong Yu
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