Stress field near circular-arc interface crack tip based on electric saturation concept

2009, Volume 4, Issue 3

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Frontiers of Mechanical Engineering >> 2009, Volume 4, Issue 3 doi: 10.1007/s11465-009-0042-9

Stress field near circular-arc interface crack tip based on electric saturation concept

College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Available online: 2009-09-05

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Abstract

Within the framework of nonlinear electroelasticity, the anti-plane problem of a circular-arc interfacial crack between a circular piezoelectric inhomogeneity and an infinite piezoelectric matrix subjected to a far-field uniform loading is investigated by an electrical strip saturation model, the complex variable method, and the method of analytical continuation. Explicit closed form expressions for the complex potentials in both the matrix and the inclusion, and the stress intensity factor at the crack tip are presented. Comparison with some related solutions based on the linear electroelastic theory shows the validity of the present solutions

Keywords

piezoelectric material ; arc crack ; strip saturation ; stress intensity factor

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