Liew, K. M.; Wu, Y. C.; Zou, G. P.; Ng, T. Y. Elasto-plasticity revisited: Numerical analysis via reproducing kernel particle method and parametric quadratic programming. (English) Zbl 1033.74050 Int. J. Numer. Methods Eng. 55, No. 6, 669-683 (2002). Summary: Aiming to simplify the solution of elasto-plastic problems, this paper proposes a reproducing kernel particle algorithm based on parametric quadratic programming for elasto-plasticity. Examples are presented to illustrate essential aspects of the model proposed, and the flexibility of parametric quadratic programming formulations coupled with reproducing kernel particle method. Cited in 22 Documents MSC: 74S30 Other numerical methods in solid mechanics (MSC2010) 74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) 90C20 Quadratic programming PDF BibTeX XML Cite \textit{K. M. Liew} et al., Int. J. Numer. Methods Eng. 55, No. 6, 669--683 (2002; Zbl 1033.74050) Full Text: DOI References: [1] Chen, Rubber Chemistry and Technology 71 pp 191– (1998) [2] Belytschko, Computer Methods in Applied Mechanics and Engineering 139 pp 3– (1996) [3] Monahhan, Computer Physics Communication 109 pp 67– (1988) [4] Bonet, International Journal for Numerical Methods in Engineering 47 pp 1189– (2000) [5] Nayroles, Computational Mechanics 10 pp 307– (1992) [6] William, International Journal for Numerical Methods in Engineering 46 pp 671– (1999) [7] Beissel, Computer Methods in Applied Mechanics and Engineering 139 pp 49– (1996) [8] Ponthot, Computer Methods in Applied Mechanics and Engineering 152 pp 19– (1998) [9] Liu, International Journal for Numerical Methods in Fluids 20 pp 1081– (1995) [10] Liu, International Journal for Numerical Methods in Engineering 38 pp 1655– (1995) [11] Jun, International Journal for Numerical Methods in Engineering 41 pp 137– (1998) [12] Liu, International Journal for Numerical Methods in Engineering 41 pp 1339– (1998) [13] Liew, Engineering Structures 24 pp 543– (2002) [14] Duarte, Computer Methods in Applied Mechanics and Engineering 139 pp 237– (1996) [15] Atluri, International Journal for Numerical Methods in Engineering 47 pp 537– (2000) [16] Yagawa, International Journal for Numerical Methods in Engineering 47 pp 1419– (2000) [17] Chen, Computational Mechanics 19 pp 211– (1997) [18] Chen, Computational Mechanics 22 pp 289– (1998) [19] Chen, Computer Methods in Applied Mechanics and Engineering 139 pp 195– (1996) [20] Chen, Computer Methods in Applied Mechanics and Engineering 181 pp 117– (2000) [21] Moran, International Journal for Numerical Methods in Engineering 29 pp 483– (1990) [22] Simo, Computer Methods in Applied Mechanics and Engineering 74 pp 177– (1989) [23] Lee, Computers and Structures 66 pp 301– (1998) [24] Alfano, Computer Methods in Applied Mechanics and Engineering 155 pp 325– (1998) [25] Gadala, Finite Elements in Analysis and Design 35 pp 379– (2000) · Zbl 0980.74061 [26] Pajunen, Communications in Numerical Methods in Engineering 16 pp 497– (2000) [27] Sun, Computer Methods in Applied Mechanics and Engineering 182 pp 177– (2000) [28] Zhang, Computer Methods in Applied Mechanics and Engineering 155 pp 307– (1998) [29] Zhong, International Journal for Numerical Methods in Engineering 26 pp 2723– (1988) [30] Principles of Optimal Design: Modeling and Computation. Cambridge University Press: Cambridge, MA, 1998. [31] Mathematical Programming Methods in Structural Plasticity. Springer: Berlin, 1990. · Zbl 0788.73011 [32] Nonlinear Finite Elements for Continua and Structures. Wiley: New York, 2000. · Zbl 0959.74001 [33] Finite Elements in Plasticity: Theory and practice. Swansea, U.K.: Pineridge Press Limited, 1986. [34] A combined membrane and bending model for the analysis of large elastic-plastic deformations of thin shells. In Large Plastic Deformations: Fundamental aspects and Applications to Metal Forming, Proceedings of the international Seminar MECAMAT’91, Fontainebleau, France. AA Balkema: Rotterdam, 1993; 369-376. 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.