Studies in anisotropic plasticity with reference to the Hill criterion

作者: René De Borst , Peter H. Feenstra

DOI: 10.1002/NME.1620290208

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摘要: Algorithms based upon the notion of return mapping have been developed for Hill yield function anisotropic plasticity. The relative accuracy two algorithms is assessed by means iso-error maps. choice algorithm turns out to be much more critical orthotropic criterion than underlying isotropic von Mises plasticity model. A tangent operator that consistent with integration formulated and its efficiency compared classical continuum operator. model has applied three shell/plate structures.

参考文章(20)
Stephen W Tsai, Edward M Wu, None, A General Theory of Strength for Anisotropic Materials Journal of Composite Materials. ,vol. 5, pp. 58- 80 ,(1971) , 10.1177/002199837100500106
D. R. J. Owen, J. A. Figueiras, Anisotropic elasto-plastic finite element analysis of thick and thin plates and shells International Journal for Numerical Methods in Engineering. ,vol. 19, pp. 541- 566 ,(1983) , 10.1002/NME.1620190407
P. J. Yoder, R. G. Whirley, On the Numerical Implementation of Elastoplastic Models Journal of Applied Mechanics. ,vol. 51, pp. 283- 288 ,(1984) , 10.1115/1.3167613
J. C. Simo, R. L. Taylor, A return mapping algorithm for plane stress elastoplasticity International Journal for Numerical Methods in Engineering. ,vol. 22, pp. 649- 670 ,(1986) , 10.1002/NME.1620220310
Benjamin Loret, Jean H. Prevost, Accurate numerical solutions for Drucker-Prager elastic-plastic models Applied Mechanics and Engineering. ,vol. 54, pp. 259- 277 ,(1986) , 10.1016/0045-7825(86)90106-4
S. W. Sloan, J. R. Booker, Removal of singularities in tresca and mohr–coulomb yield functions Communications in Applied Numerical Methods. ,vol. 2, pp. 173- 179 ,(1986) , 10.1002/CNM.1630020208
H. L. Schreyer, R. F. Kulak, J. M. Kramer, Accurate Numerical Solutions for Elastic-Plastic Models Journal of Pressure Vessel Technology. ,vol. 101, pp. 226- 234 ,(1979) , 10.1115/1.3454627
Juan C. Simo, Jiann‐Wen Ju, Karl S. Pister, Robert L. Taylor, Assessment of cap model: consistent return algorithms and rate-dependent extension Journal of Engineering Mechanics-asce. ,vol. 114, pp. 191- 218 ,(1988) , 10.1061/(ASCE)0733-9399(1988)114:2(191)
Kenneth Runesson, Alf Samuelsson, Lars Bernspång, Numerical technique in plasticity including solution advancement control International Journal for Numerical Methods in Engineering. ,vol. 22, pp. 769- 788 ,(1986) , 10.1002/NME.1620220315