Concentrated force-induced fracture of a multiferroic composite cylinder

Abstract

Although the cracking problems of multiferroic structures have been widely investigated, concentrated force-induced fracture still remains as an un-fully explored failure mode that has considerable significance in this field. The present article analyzes the interfacial crack in a layered multiferroic cylinder subjected to a concentrated axial shear force on its outer surface. The methods of infinite trigonometric-series and Cauchy singular integral equation are applied to solve the problem. The convergence behaviors of the dimensionless infinite trigonometric-series functions are clarified, and the numerical results of stress intensity factor (SIF) are verified by the analytical solution in a special case. Parametric studies are conducted, and the effects of structural parameters on the fracture behavior are revealed. Two structural optimization ways are suggested for reducing the harmful peak value of SIF. One is to decrease the radius of the interface when the total thickness is given, and the other is to increase the layer thickness when the radius of the interface is specified. The obtained conclusions can provide references for anti-fracture optimization of cylindrical multiferroic devices under a concentrated force.