Frictional contact problems of kinked cracks modelled by a boundary integral method

Crack closure effects in thermal fracture of functionally graded/homogeneous bimaterials with systems of cracks

“…Three different zones may appear on the cracks, namely, open, sliding and sticking. Besides, the crack closure problem with friction makes the solution history dependent and an incremental solution procedure has to be employed as it was done, e.g., in [18] for zigzag crack problems. In [32] an iterative algorithm was adopted for modeling crack closure and sliding with the displacement discontinuity method.…”

“…Loading-induced crack closure is observed when external loads (shear, tension, compression, thermal and combination of them) cause the mixed-mode loading conditions near a crack with compression and shear stresses. Geometry-induced closure is due to a specific shape of cracks, e.g., zig-zag and kinked cracks [16][17][18], curvilinear cracks [19], or due to interaction among cracks, defects and boundaries of elastic body with cracks, see, e.g., [5][6][7][8][9][10][11][12]. Crack closure can be due to material inhomogeneity such as well-known interface cracks between two different materials [21].…”

Dynamic crack analysis in piezoelectric solids with non-linear electrical and mechanical boundary conditions by a time-domain BEM

“…It should be mentioned that the BEM has been successfully applied for contact problems since many years (e.g. [1,3,22,23,25,28,42]) and has been proven to be generally very efficient and accurate for non-linear boundary conditions. Beside the mechanical crack-face boundary conditions, several electrical crack-face boundary conditions are proposed in the literature.…”

Symmetric‐Galerkin BEM simulation of fracture with frictional contact

“…Thus far, FEM [13], BEM using an integral equation for the resultant forces along a crack [14][15][16], multi-domain BEM [17], dual BEM [18] and displacement discontinuity method (DDM) [19][20][21][22] are numerical methods that have been employed for crack friction problems. Note that DDM is a BEM technique based on the analytical solution to the problem of a constant discontinuity in displacement over a single crack in unbounded domain.…”