The linear steady state analysis of multiple moving cracks in a piezoelectric half-plane under in-plane electro-elastic loading. (August 2018)

• Record Type: Journal Article
• Authors: Bagheri, R.; Noroozi, M.
• Is Part Of: Theoretical and applied fracture mechanics. Volume 96(2018)
• Page Start: 334
• Page End: 350
• Publication Date: 2018-08
• Subjects: Mixed mode loading -- Piezoelectric half-plane -- Several moving cracks -- Climb and glide edge dislocations; Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2018.05.010
• Languages: English
• ISSNs: 0167-8442

Abstract

Highlights: Fracture analysis is carried out in a half-plane containing a climb and glide edge dislocations. The distributed dislocation technique is used to construct integral equations for a half-plane. Dislocation densities are employed to determine fields intensity factors for multiple moving cracks. Formulation is applicable for multiple cracks with arbitrary arrangement. Abstract: In this work, the steady state problem of multiple Yoffe-type cracks propagating in a piezoelectric half-plane within the framework of linear electroelasticity under in-plane electro-elastic loading is studied. At first, the closed-form solution of the moving electric and Volterra type climb and glide edge dislocations are derived using the complex Fourier transforms to achieve the integral equations of a piezoelectric half-plane with several moving cracks. Then, the integral equations with Cauchy-kind singularity are solved numerically to determine the mixed mode stress intensity factors and the electric displacement intensity factors in a piezoelectric medium. Finally, the effects of the loading conditions, crack moving speed, cracks lengths, cracks interactions and geometrical parameters on the field intensity factors are considered.