Non‐smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms
1988; Wiley; Volume: 26; Issue: 10 Linguagem: Inglês
10.1002/nme.1620261003
ISSN1097-0207
AutoresJ.C. Simo, J. G. Kennedy, Sanjay Govindjee,
Tópico(s)Advanced Numerical Methods in Computational Mathematics
ResumoInternational Journal for Numerical Methods in EngineeringVolume 26, Issue 10 p. 2161-2185 Article Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms J. C. Simo, J. C. Simo Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A. Associate Professor of Applied MechanicsSearch for more papers by this authorJ. G. Kennedy, J. G. Kennedy Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A. Graduate StudentSearch for more papers by this authorS. Govindjee, S. Govindjee Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A. Graduate StudentSearch for more papers by this author J. C. Simo, J. C. Simo Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A. Associate Professor of Applied MechanicsSearch for more papers by this authorJ. G. Kennedy, J. G. Kennedy Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A. Graduate StudentSearch for more papers by this authorS. Govindjee, S. Govindjee Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, California 94305, U.S.A. Graduate StudentSearch for more papers by this author First published: October 1988 https://doi.org/10.1002/nme.1620261003Citations: 356 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Rate-independent plasticity and viscoplasticity in which the boundary of the elastic domain is defined by an arbitrary number of yield surfaces intersecting in a non-smooth fashion are considered in detail. It is shown that the standard Kuhn-Tucker optimality conditions lead to the only computationally useful characterization of plastic loading. On the computational side, an unconditionally convergent return mapping algorithm is developed which places no restrictions (aside from convexity) on the functional forms of the yield condition, flow rule and hardening law. The proposed general purpose procedure is amenable to exact linearization leading to a closed-form expression of the so-called consistent (algorithmic) tangent moduli. For viscoplasticity, a closed-form algorithm is developed based on the rate-independent solution. The methodology is applied to structural elements in which the elastic domain possesses a non-smooth boundary. Numerical simulations are presented that illustrate the excellent performance of the algorithm. References 1 I. C. Cormeau, ‘Numerical stability in quasi-static elasto/viscoplasticity’, Int. j. numer. methods eng., 9, 109–127 (1975). 2 J. E. Dennis and R. 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Citing Literature Volume26, Issue10October 1988Pages 2161-2185 ReferencesRelatedInformation
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