A class of problems concerning subinterface cracks interacting with the interface in metal/piezoelectric ceramic bimaterials are studied. The interaction problem is reduced to a system of integral equations with the a...A class of problems concerning subinterface cracks interacting with the interface in metal/piezoelectric ceramic bimaterials are studied. The interaction problem is reduced to a system of integral equations with the aid of the pseudo-traction-electric-displacement method. The equations are solved numerically, and the stress, intensity factor, the electric displacement intensity factor and the mechanical strain energy release rate are evaluated. Numerical results of a Cu/PZT-4 bimaterial are given and shown in figures, in which three kinds of remote loading conditions are considered to make comparisions. It is found that the electric loading at infinity plays a quite important role in the present interaction problem. In addition, a conservation law of the first component of the J k-integral, vector is found; which does lead to a consistency check to confirm the effectiveness of the PTEDM as well as the numerical results derived in this paper.展开更多
A singular integral equation method is proposed to analyze the two-dimensional(2D)multiple cracks in anisotropic piezoelectric bimaterial.Using the Somigliana formula,a set of singular integral equations for the multi...A singular integral equation method is proposed to analyze the two-dimensional(2D)multiple cracks in anisotropic piezoelectric bimaterial.Using the Somigliana formula,a set of singular integral equations for the multiple crack problems are derived,in which the unknown functions are the derivatives of the generalized displacement discontinuities of the crack surfaces.Then,the exact analytical solution of the extended singular stresses and extended stress intensity factors near the crack tip is obtained.Singular integrals of the singular integral equations are computed by the Gauss-Chebyshev collocation method.Finally,numerical solutions of the extended stress intensity factors of some examples are presented and discussed.展开更多
文摘A class of problems concerning subinterface cracks interacting with the interface in metal/piezoelectric ceramic bimaterials are studied. The interaction problem is reduced to a system of integral equations with the aid of the pseudo-traction-electric-displacement method. The equations are solved numerically, and the stress, intensity factor, the electric displacement intensity factor and the mechanical strain energy release rate are evaluated. Numerical results of a Cu/PZT-4 bimaterial are given and shown in figures, in which three kinds of remote loading conditions are considered to make comparisions. It is found that the electric loading at infinity plays a quite important role in the present interaction problem. In addition, a conservation law of the first component of the J k-integral, vector is found; which does lead to a consistency check to confirm the effectiveness of the PTEDM as well as the numerical results derived in this paper.
基金The authors would like to express their special thanks to the National Natural Science Foundation of China(Project No.11172320).
文摘A singular integral equation method is proposed to analyze the two-dimensional(2D)multiple cracks in anisotropic piezoelectric bimaterial.Using the Somigliana formula,a set of singular integral equations for the multiple crack problems are derived,in which the unknown functions are the derivatives of the generalized displacement discontinuities of the crack surfaces.Then,the exact analytical solution of the extended singular stresses and extended stress intensity factors near the crack tip is obtained.Singular integrals of the singular integral equations are computed by the Gauss-Chebyshev collocation method.Finally,numerical solutions of the extended stress intensity factors of some examples are presented and discussed.
