Two-dimensional polynomial eigenstrain formulation of boundary integral equation with numerical verification

• Published in: Applied mathematics and mechanics Vol. 32; no. 5; pp. 551 - 562
• Main Author: 马杭 郭钊 秦庆华
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.05.2011; Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China%Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China%School of Engineering, Australian National University, Canberra, ACT 0200, Australia
• Subjects: Algorithms; Applications of Mathematics; Boundaries; Boundary element method; Classical Mechanics; Fluid- and Aerodynamics; Inhomogeneities; Integral equations; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Two dimensional; Eshelby tensor; O241; 74S05; 74S15; polynomial; boundary integral equation (BIE); inhomogeneity Berlin Heidelberg; eigenstrain; inhomogeneity

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 elem...