“…As a conclusion, it shall be added that the proposed approach may be extended to three-dimensional fracture mechanics problems for cracked materials under arbitrary dynamic loading, and the special attention shall be paid to the coupling oscillation singularities in the vicinity of the crack's front [2,5,49,50].…”
“…As a conclusion, it shall be added that the proposed approach may be extended to three-dimensional fracture mechanics problems for cracked materials under arbitrary dynamic loading, and the special attention shall be paid to the coupling oscillation singularities in the vicinity of the crack's front [2,5,49,50].…”
“…The contact constraints (22) ensure that there is no interpenetration of the opposite crack faces; the normal component of the contact force is unilateral and it is absent for any non-zero opening of the crack. Note that, due to the contact interaction the traction vector at the crack faces is the superposition of the initial traction caused by the incident load and the contact force.…”
Section: Crack Closure Friction and Iterative Algorithmsmentioning
“…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.…”
The linear crack between two dissimilar elastic isotropic half-spaces under normal harmonic shear loading is considered. To take the crack faces interaction into account we assumed that the contact satisfies the Signorini constraints and the Coulomb friction law. The problem is solved numerically using the iterative processthe solution changes until the distribution of physical values satisfying the contact constraints is found. The numerical convergence of the method with respect to the number of the Fourier coefficients and mesh size is analysed. The effects of material properties and values of the friction coefficient on the distribution of displacements and contact forces are presented and analysed. Special attention is paid to the size of the contact zone and the results are compared with the classical model solutions obtained for the static problems with and without friction.
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