Interface and interfacial cracks interacting with screw dislocations in piezoelectric bimaterials subjected to antiplane mechanical and in-plane electrical loadings are studied within the framework of linear piezoelectricity theory. Straight dislocations with the Burgers vector normal to the isotropic basal plane near the interface or interfacial crack are considered. The dislocations are chara...

A new class of systems of strongly singular integrodifferential equations is examined, which emerges in the study of the bridged interface crack growth, e.g., in fiber stitched layered composites. This work generalizes the asymptotic analysis of strongly singular integral equations by Willis and Nemat-Nasser [Quart. Appl. Math., 48 (1990), pp. 741–753]. Singular perturbation solutions up to the...

We investigate the free-edge stresses in anisotropic bimaterials through the use of the free-edge stress intensity factor, Kf . This requires a determination of the singularity order at the free-surface as well as a calculation of the near-field stresses. We determine the order of the singularity for arbitrary free-surface orientation of the upper material using an eigenvalue analysis for aniso...

This article presents the dynamic behavior of a semi-infinite interfacial crack in piezoelectric bimaterials under impact loading. With help transform methods (the Laplace transforms and Fourier transforms), problem is studied with Wiener–Hopf technique. strict proof guarantees feasibility this approach. The stress intensity factor electric displacement propagation characteristics are expressed...

The problem of crack path selection in piezoelectric bimaterials is considered in this paper. Based on the Stroh formulation for anisotropic material and GreenÕs functions for piezoelectric bimaterials, the crack problem is expressed in terms of coupled singular integral equations at ®rst, and then the equations are used to solve for stress and electric displacement ®elds numerically. A crack i...

The formulation for thermal stress and electric displacement in an in®nite thermopiezoelectric plate with an interface and multiple cracks is presented. Using Green's function approach and the principle of superposition, a system of singular integral equations for the unknown temperature discontinuity de®ned on each crack face is developed and solved numerically. The formulation can then be use...

In this paper we study the effects of negative Poisson’s ratios on elastic problems containing singularities. Materials with a negative Poisson’s ratio are termed auxetic. We present a brief review of such materials. The elasticity problem of a bimateral wedge is presented, then two particular cases of this problem are investigated: the free-edge problem and the interface crack problem. We stud...

The bonding strength between dissimilar materials in composites is often relatively weak. Interface debonding and cracking are of common occurrence. As an e€ ective method to minimize such failures, ® bre stitching is used to enhance the bonding strength when joining layers in polymer composites. With the presence of the reinforcing ® bre, the overall elastic response for each component of the ...