Ck. Chao et Mh. Shen, SOLUTIONS OF THERMOELASTIC CRACK PROBLEMS IN BONDED DISSIMILAR MEDIA OR HALF-PLANE MEDIUM, International journal of solids and structures, 32(24), 1995, pp. 3537-3554
The two-dimensional thermoelastic crack problem in bonded dissimilar m
edia or in a half-plane medium is considered. The proposed method for
solving this problem consists of two parts. In the first part, complex
potential functions are derived which are enforced to satisfy the con
tinuity conditions across the interface. while the second part consist
s of the derivation of singular integral equations by introducing the
dislocation functions along the crack border which are solved numerica
lly. For both half-plane and two bonded half-plane problems associated
with an insulated crack, the thermal stress intensity factors are com
puted numerically by using the appropriate interpolation formulae. The
results compared with those of the homogeneous case given in the lite
rature show that the method proposed here is effective, simple and gen
eral.