Qh. Qin et Yw. Mai, THERMOELECTROELASTIC GREENS-FUNCTION AND ITS APPLICATION FOR BIMATERIAL OF PIEZOELECTRIC MATERIALS, Archive of applied mechanics, 68(6), 1998, pp. 433-444
For a two-dimensional piezoelectric plate, the thermoelectroelastic Gr
een's functions for bimaterials subjected to a temperature discontinui
ty are presented by way of Stroh formalism. The study shows that the t
hermoelectroelastic Green's functions for bimaterials are composed of
a particular solution and a corrective solution. All the solutions hav
e their singularities, located at the point applied by the dislocation
, as well as some image singularities, located at both the lower and t
he upper half-plane. Using the proposed thermoelectroelastic Green's f
unctions, the problem of a crack of arbitrary orientation near a bimat
erial interface between dissimilar thermopiezoelectric material is ana
lysed, and a system of singular integral equations for the unknown tem
perature discontinuity, defined on the crack faces, is obtained. The s
tress and electric displacement (SED) intensity factors and strain ene
rgy density factor can be, then, evaluated by a numerical solution at
the singular integral equations. As a consequence, the direction of cr
ack growth can be estimated by way of strain energy density theory. Nu
merical results for the fracture angle are obtained to illustrate the
application of the proposed formulation.