Two-dimensional polynomial eigenstrain formulation of boundary integral equation

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Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification水利论文D#hkV:u!k8B?Z

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Abstract:The low-order polynomial-distributed eigenstrain formulation of the boundary integral equation (BIE) and the corresponding definition of the Eshelby tensors are proposed for the elliptical inhomogeneities in two-dimensional elastic media. Taking the results of the traditional subdomain boundary element method (BEM) as the control, the effectiveness of the present algorithm is verified for the elastic media with a single elliptical inhomogeneity. With the present computational model and algorithm, significant improvements are achieved in terms of the efficiency as compared with the traditional BEM and the accuracy as compared with the constant eigenstrain formulation of the BIE.

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作者:

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IS'_ FC [0Hang MA[1] Zhao GUO[2] Qing-hua QIN[3]水利论文.a4z4I7dQsk,A:\ir

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SiO1}2d!}~0Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. ChinaShanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. ChinaSchool of Engineering, Australian National University, Canberra, ACT 0200, Australia

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p^"}'E)[ a0APPLIED MATHEMATICS AND MECHANICS水利论文\1QO-R [ ]2Lqfl Z6[

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eigenstrain

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Eshelby tensor水利论文 @ T6i1?H d7a1n7V

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boundary integral equation (BIE)

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polynomial水利论文)T*oi!af@ f5em

kVo q h~K!~#X0inhomogeneity

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g3J/{:J{~k zj0numerical verification elastic media boundary integral equation boundary element method traditional computational model effectiveness significant results control terms水利论文`2UGI6T^O k#?u9U

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基金项目:

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the National Natural Science Foundation of China,the Graduate Innovation Foundation of Shanghai University水利论文-]] ek w+W}

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