Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7168965 | Engineering Fracture Mechanics | 2018 | 17 Pages |
Abstract
A novel set of analytical and semi-analytical solutions is obtained for the generalized T-stress for both electrically impermeable and permeable penny-shaped cracks embedded in a transversely isotropic, linear piezoelectric, infinite medium under uniform far-field loading and general mechanical and electrical crack-face loading. The generalized stress field of the crack for two basic loading cases, viz. uniformly distributed self-equilibrated crack-face loading and a pair of crack-face self-equilibrated unit normal point forces and unit point electrical charges, are employed together with the asymptotic near-front expansion to establish fundamental solutions for the generalized T-stress. Such fundamental solutions are explicit and involve only elementary functions, and are then utilized to form an explicit integral formula for computing the generalized T-stress of a penny-shaped crack under general crack-face loading. The exact integration of the integral formula is also established for specific loading conditions, whereas its evaluation via an efficient quadrature for general loading conditions is also addressed. A selected set of numerical results is presented to verify the proposed quadrature and significant and useful findings are also reported.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Jaroon Rungamornrat, Thai Binh Nguyen, Vichet Chan Pich, Weeraporn Phongtinnaboot, Anil C. Wijeyewickrema,