GENERAL-SOLUTION TECHNIQUE FOR TRANSIENT THERMOELASTICITY OF TRANSVERSELY ISOTROPIC SOLIDS IN CYLINDRICAL COORDINATES

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.