Boundary integral equations for an interface linear crack under harmonic loading

2D Elastodynamics of Interface Microcracks: The Effect of Cracks Interaction

“…4-7, differs significantly from the corresponding integral system in [28][29][30]. It becomes simpler and does not contain integral kernels K …”

“…The detailed procedure for deriving the system of boundary integral equations was given in [28][29][30], where the components of the displacement field in the upper and the lower halfspaces were represented in terms of boundary displacements and traction using the Somigliana dynamic identity. For the case of harmonic loading with the frequency ω, the following system of boundary integral equations for the coefficients of displacements and tractions at the interface and the crack faces can be obtained …”

“…In papers [28][29][30], the system of boundary integral equations for the general case of an interface crack between two dissimilar elastic materials under dynamic loading was derived. In [30][31][32][33][34][35], the derived integral system was solved numerically by the method of boundary elements for the case of an interface crack under normally incident tension-compression and shear waves.…”