Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Abstract

Dynamic stress intensification due to the penny-shaped crack in a three-component elastic solid consisting of two dissimilar half-spaces and intermediate layer is analyzed. Twisting time-harmonic loading is applied to the opposite surfaces of the crack, which can be located in any component of the composite and has parallel orientation to its interfaces. Corresponding frequency-domain problem is solved by an improved boundary integral equation method, where identical satisfaction of perfect contact conditions at two presented interfaces is provided. Then, application of the dynamic loading condition on the crack-surfaces results in two uncoupled boundary integral equations relative to the tangential crack-opening-displacements. These quantities are defined by the collocation technique. Numerical examples concern the effects of the dimensionless wave number, the material mismatch, and the crack-interfaces distance on the mode-III dynamic stress intensity factor in the crack vicinity. K E Y W O R D Sboundary integral equation method, dynamic stress intensity factor, layered composite, penny-shaped crack, twisting time-harmonic loading

Effects of crack closure and friction for linear crack under normal impact

“…Thus, the method developed and presented in the current paper may be combined with the boundary integrals presented in [15,20,[23][24][25] for interface cracks under different types of the loading. Furthermore, the approach can be extended to three-dimensional fracture mechanics problems similar to the ones considered in [26][27][28] for homogeneous and layered cracked materials, with different approximation methods (for example, Galerkin methods used in [29]). In the future the method may be hopefully adapted to solve the problems in for the layered composites with cracked interlayers [30] and interface delaminations [31].…”

Contact Problems for Interface Cracks Under Harmonic Shear Loading

“…It shall be specifically noted that the opposite faces of the existing cracks almost always interact with each other under deformation, significantly changing the solution near the crack [13][14][15][16][17][18][19][20][21][22][23]. The nature of the dynamic contact interaction between opposite crack faces is very complex.…”

Boundary integral equations in the frequency domain for interface linear cracks under impact loading

“…Additionally torsion harmonic loading of penny-shaped crack in layered composite was studied by Mykhaskiv and Stankevych [19] using boundary integral equation method. In the paper the effects of wave number, material properties, and the crack interfaces distance on the dynamic stress intensity factor were investigated.…”