F. Ashida et al., GENERAL-SOLUTION TECHNIQUE FOR TRANSIENT THERMOELASTICITY OF TRANSVERSELY ISOTROPIC SOLIDS IN CYLINDRICAL COORDINATES, Acta mechanica, 101(1-4), 1993, pp. 215-230
Goodier has proposed the thermoelastic potential function in order to
analyze thermoelastic problems for isotropic solids. The thermoelastic
problem can be reduced to the elastic problem by his technique. Elast
ic problems are in general analyzed by the generalized Boussinesq solu
tions and the Michell function. This paper discusses a new solution te
chnique for thermoelastic problems of transversely isotropic solids in
cylindrical coordinates. The present solution technique consists of f
ive fundamental solutions which are developed from the Goodier's therm
oelastic potential function, the generalized Boussinesq solutions and
the Michell function. Considering the relations among the material con
stants of transverse isotropy, the present solution technique can be c
lassified into two cases. One of them can be reduced to the three solu
tion techniques above which are specifically for isotropic solids only
. As an application of the present solution technique, a transient the
rmoelastic problem in a transversely isotropic cylinder with an extern
al crack is analyzed.