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《Journal of Wuhan University(Natural Science Edition)》 2018-05
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Quasi-Convex Reproducing Kernel Particle Method for Elasticity and Elastic Fracture Problems

TIAN Lirui;ZHU Song;NIE Fenghua;LI Dongming;KONG Linghao;School of Civil Engineering and Architecture,Wuhan University of Technology;  
By applying the relaxed reproducing conditions,the so-called quasi-convex reproducing kernel approximation gains the ability to construct arbitrary order shape functions with enhanced positivity.In this paper,combined with the Galerkin weak form of the control equations,the quasi-convex reproducing kernel approximation was applied to analyze elasticity and elastic fracture problems.The theoretical formulas were derived,and the quasi-convex reproducing kernel particle method(QCRKPM)for elasticity and elastic fracture problems were proposed.Two examples including a square plate with a central circular hole and a square plate with an edge crack were simulated by MATLAB.By comparing the numerical accuracy and computational efficiency of the proposed QCRKPM with that of the element-free Galerkin(EFG)method and reproducing kernel particle method(RKPM),the high efficiency and precision of the QCRKPM were verified.
【Fund】: 湖北省自然科学基金青年项目(2018CFB129);; 中央高校基本科研业务费专项资金(2016IVA022)
【CateGory Index】: O343;O346.1
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