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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;qc2RGq0V Z _5W0Abstract: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.水利论文%\1T;h/^?3P

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z[Ne| yf0Hang MA[1] Zhao GUO[2] Qing-hua QIN[3]

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h*jf5k#R#y E-N0Department 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X g$Ai"u

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应用数学和力学(英文版)水利论文4q |8[!KD

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APPLIED MATHEMATICS AND MECHANICS水利论文|!i"_So4g

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2011, 32(5)水利论文Gg3l:Q$bB Q*cA

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F@+YS)Ko+r.O0Keywords:

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eigenstrain水利论文} bCzRC*J us

avs/V2p"]UR0Eshelby tensor水利论文*rYU1P;E^s?K

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boundary integral equation (BIE)

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polynomial水利论文t nnc-?X|

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inhomogeneity

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JN1Yl n0numerical verification elastic media boundary integral equation boundary element method traditional computational model effectiveness significant results control terms

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the National Natural Science Foundation of China,the Graduate Innovation Foundation of Shanghai University

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