Boundary element analysis of infinite anisotropic elastic medium containing inclusions and cracks

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

“…However, as the interfaces need to be discretized for the unknowns, only small scale problems have been studied for a few inhomogeneities. The situation in the application of the BEM often coupled with the VIM [14][15] is much the same as that of the VIM, in which the problems of simple arrays of inclusions are solved on a small scale because of the similar reason that the unknown appears in the interfaces. For large scale problems with inhomogeneities [16] , special techniques of the fast multipole expansions [20] should be employed.…”

“…In particular, the determination of elastic states of an embedded inclusion is of considerable importance in a wide variety of physical and engineering applications. By Eshelby's idea of eigenstrain solutions and equivalent inclusion, a diverse set of research has been reported analytically [3][4][5][6][7] and numerically [8][9][10][11][12][13][14][15][16] . It should be mentioned that the eigenstrain solution can represent various physical problems, where the eigenstrains can correspond to the thermal-mismatch strains, the strains due to the phase transformation, the plastic strains, as well as the intrinsic strains in the residual stress problems [17] .…”

Study on the effect of inclusion shape on crack-inclusion interaction using digital gradient sensing method

“…Chen and Hwu [7] conducted a boundary element analysis for viscoelastic solids containing interfaces/holes/cracks/inclusions. Dong and Lee [8] conducted a boundary element analysis of infinite anisotropic elastic medium containing inclusions and cracks. Lei et al [9] analyzed a dynamic interaction between an inclusion and a nearby moving crack by BEM.…”

Boundary element method for 2D solids with fluid-filled pores

“…Only few research works have been reported to examine the effective elastic properties of materials with fluid-filled pores by numerical methods, especially by the boundary element method. Since the boundary element method only needs the boundary discretization, it has obvious advantages over other numerical methods for various elastic problems containing numerous cracks or inclusions [8][9][10][11][12][13]. The main purpose of this paper is to develop the boundary element method for the problems of 2D solid with fluidfilled pores, and to simulate the equivalent mechanic behaviors of such materials.…”