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

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aj_5X0B$_8q0Abstract: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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nd NQ7^iY0Hang MA[1] Zhao GUO[2] Qing-hua QIN[3]水利论文6W-e0k([!XPU gX

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作者单位:水利论文D%p"k7gXM;Vj(C7i

#Bo.p1qz1}"c2g7B'RG0Department 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水利论文j"`Y G1~F

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期 刊:水利论文t&d!| rYg-c

$N I w;Hk ^7g&^y)G0应用数学和力学(英文版)水利论文P @ PGUp$XU\7s%n

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Journal:

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W*n)jDi+V:b0APPLIED MATHEMATICS AND MECHANICS水利论文2ym;s9O7mGgK

"gf5E n8l*U8x0年,卷(期):水利论文 G+zPu4FJc"[zK2Z

W9~^3]&u ?N O'M02011, 32(5)水利论文_f ZS1H7V$s

(h(U)y]oS0]2Eo t1t0分类号:水利论文/c,H)l@d Zu

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o#^H^VX+Q"OA n0Keywords:水利论文)U2[A%Z(zw

\Kj?sW$` W[#G0eigenstrain水利论文p5y THa J?e

)P&_bLV1U _4B0Eshelby tensor水利论文H'TJF0kH tC0TK!\Z

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boundary integral equation (BIE)

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%r k'Y2q"p!X+rT:@0polynomial水利论文$?-D#Udl[ E]R/Y [

umAu;`0w ih5{7G0inhomogeneity水利论文!Q6x5J?8L'b

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机标关键词:

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+I9DHN"Fr0numerical verification elastic media boundary integral equation boundary element method traditional computational model effectiveness significant results control terms水利论文A(P,B0p*QZf6jJ#C(c

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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

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