The stress intensity factors of regularly perturbed-interface cracks of anisotropic bimaterials

摘要: Abstract Based on Lekhnitskii-Eshelby-Stroh (LES) representation and perturbation analysis, analytic solutions are given for displacement stress fields of two anisotropic half-planes, forming a composite bimaterial, with perturbed-interface crack. Among various mathematical models representing real cracks, the “thin cut” model is special interest, since it requires simplest methods in its study. However, does not reflect some properties actual particular crack should be uneven. When lateral stresses, parallel to interface, dominate fracture mechanism, thin-cut cannot reveal any intensifying phenomenon, while many failures, occurring interfaces thin-film substrate or fiber matrix, always induced by crucial stresses. For these reasons, unevenness effect faces must taken into account determine practical intensity factors predicting interface behavior. A modified smoothly perturbed surfaces ensures good agreement reality, retaining simplicity model. Mathematically, we consider elastic problem lying along bonded dissimilar half-planes uniform far-field stresses specified. much larger than others, determined first-order understand how affect as face