DISPLACEMENT METHOD OF ELASTICITY PROBLEMS IN SPHERICALLY ISOTROPIC MEDIA

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.For static elasticity,thesimultaneous equations can be further simplified through another function F,which is gov-erned by a four-order partial differential equation,In free vibration problems of s...