Stress concentration in an inhomogeneous piezoelectric slab with crack under constant longitudinal shear

Article type: Research Article

Authors: Ayad, M.M.^a

Affiliations: [a] Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

Abstract: We investigate the singular stress and electric fields in an orthotropic, nonhomogeneous piezoelectric ceramic strip containing a Griffith crack under longitudinal shear. The crack is situated symmetrically and oriented in a direction parallel to the edges of the strip a non-homogeneity is taken along a direction normal to the edges and is assumed to follow an exponential law. This allows to model a variety of media with material constants that vary monotonically along a certain direction. The mathematical problem is reduced to the solution a pair of dual integral equations which are transformed, in turn, into an infinite system of linear algebraic equations solved by Gauss's elimination method. Numerical values for the stress intensity factor a energy release rate are obtained and the results are graphically represented to display the influence of the considered nonhomogeneity.

DOI: 10.3233/JAE-2002-223

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 16, no. 1-2, pp. 57-68, 2002