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Electro‐elastic analysis of a piezoelectric circular region containing multiple cracks
Author(s) -
Hassani A. R.,
Oskouei A. Refahi
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700004
Subject(s) - piezoelectricity , materials science , structural engineering , geometry , mathematics , composite material , engineering
In this study, a formulation for a piezoelectric circular plane, subjected to anti‐plane mechanical and in‐plane electrical loading, is presented. First, the domain under consideration is weakened by a Volterra‐type screw dislocation. The stress and electric displacement fields in the circular region are obtained with aid of the finite Fourier transform. Based on the solution achieved for the dislocation, the distributed dislocation technique was employed to analyze any geometry of multiple cracks. The problem was first reduced to a set of singular integral equations with a Cauchy type singularity. By calculating unknown dislocation densities, the stress and electric stress intensity factors were obtained which are displayed graphically.