Mixed Mode I, II and III analysis of multiple cracks in plane anisotropic solids by the BEM: a dislocation and point force approach

2D Fundamental Solutions for the General Anisotropic Solids with Computer Codes

“…These two approaches are equivalent. For the BEM formulation Denda [6] and Denda and Marante [7] have adopted Lekhnitskii's approach which gives the explicit expression for the elements of the A matrix in terms of those of L matrix. Notice that L and A given above include the case when the in-plane and out-of-plane deformations are decoupled.…”

“…The generalized plane strain is assumed. After a short review of Stroh's complex variable formalism for 2D anisotropic elasticity (Stroh [1,2], Ting [3], Suo [4] and Ni and Nemat-Nasser [5]) the fundamental solutions for the line force and line dislocation are derived following Denda [6] and Denda and Marante [7]. The explicit form of the fundamental solutions are given for the displacement, traction and stress components for the line force and dislocation.…”

Upper and lower bounds analysis of electric induction intensity factors for multiple piezoelectric cracks by the BEM

“…A crack L with the crack opening displacement d K of a traction-free crack in an infinite body can be represented by the continuous distribution of the dislocation dipoles with the magnitude d k (Denda [44]). By integrating (26) along the crack we obtain the displacement due to the crack,…”

“…They are collectively called the numerical Green's functions since their magnitudes are determined to satisfy the given crack surface traction value. Once the COD is determined the formula (44) gives the SIFs in terms of d ðmÞ k . There is no need for the post-processing.…”

A 2D time-domain BEM for transient wave scattering analysis by a crack in anisotropic solids

“…For this reason, applications of the time-domain BEM to transient dynamic crack analysis are yet still very limited, though the BEM for elastostatic crack problems in anisotropic solids has been successfully developed and applied by using different formulations (e.g. [5,17,18,20,21,25,32,36,37]). Different BEM formulations can be found in literature for transient crack analysis in anisotropic materials.…”