Hj. Ding et al., A BOUNDARY INTEGRAL FORMULATION AND 2D FUNDAMENTAL-SOLUTIONS FOR PIEZOELECTRIC MEDIA, Computer methods in applied mechanics and engineering, 158(1-2), 1998, pp. 65-80
First, based on the basic equations of piezoelectricity, the boundary
integral formulation is derived by utilizing the reciprocal-work theor
em. Second, for the plane problem of piezoelectric media, one general
solution in terms of 'harmonic functions' is derived and the fundament
al solutions are therefore obtained. Numerical calculations by boundar
y element method (BEM) are performed to give the stress concentration
coefficient of an infinite piezoelectric plane with a circular hole as
well as the stress and electric intensity factors of a central crack
locating on an infinite plate. Results are found to agree well with th
e exact solutions. (C) 1998 Elsevier Science S.A.