ИСТИНА

http://www.ecf22.rs/timetable.html The 2-D problem of semi-infinite crack propagating along interface separating two layers of different thicknesses and elastic properties was considered. By applying Laplace transform it was reduced to matrix Riemann problem. In case of satisfying the condition of vanishing the second Dundur’s parameter imposed on four elastic constants (two Young’s moduli and two Poisson’s ratios) the analytical solutions were obtained for two particular cases: - two layers of equal thickness; - one of the layers being infinitely thick. The energy release rates and two modes of stress intensity factors (SIFs) were obtained in terms of three force parameters: the total moment and two components (normal and shear) of the total force of stresses acting on the continuation of the crack line. The available from the literature numerical data (corresponding to vanishing normal component of the total force) are in good agreement with the obtained results. All functions involved are expressed in terms of well converging integrals of elementary functions. For very small and very large ratios of Young’s moduli of the layers the simple asymptotics are derived. The obtained results may find applications in problems of delamination and failure of coatings at various scales.