Upper bound limit analysis using radial point interpolation meshless method and nonlinear programming
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- 作者：Fengtao Liu ; celiuft@gmail.com ; Jidong Zhao1 ; jzhao@ust.hk
- 关键词：Upper bound limit analysis ; RPIM method ; Nonlinear programming ; Cartesian Transformation Method (CTM)
- 刊名：International Journal of Mechanical Sciences
- 出版年：2013
- 出版时间：May, 2013
- 年：2013
- 卷：70
- 期：Complete
- 页码：26-38
- 全文大小：911 K
文摘
This paper presents a numerical upper bound limit analysis using radial point interpolation method (RPIM) and a direct iterative method with nonlinear programming. By expressing the internal plastic dissipation power with a kinematically admissible velocity field obtained through RPIM interpolation, the upper bound problem is formulated mathematically as a nonlinear programming subjected to single equality constraint which is solved by a direct iterative method. To evaluate the integration of internal power dissipation rate without any background integral cell, a new meshless integration technique based on Cartesian Transformation Method (CTM) is employed to transform the domain integration first as boundary integration and then one-dimensional integration. The effectiveness and accuracy of the proposed approach are demonstrated by two classical limit analysis problems. Further discussion is devoted to optimal selection of relevant parameters for the computation.