infinite integral
4.In this paper, the superimposing principle and the theory of Mellin transforms are used to reduce the controlling equations and boundary conditions of linear cracks inter-secting hole into dual integral equations in an infinite elastic body. With finite Hil-bert transforms, the dual integral equations can be reduced into a Fredhole integral equation of the second kind which is related to S(t~2).
6.Using the solution of the unit concentrated force acting on arbitrary points in a semi-infinite plane as the fundamental solution, the corresponding boundary integral equation—BEM is established. By the use of BEM combined with FEM, the behaviors of dam under hydrostatic pressure are analyzed.
7.The fundamental solution for antiplane strain motion in an anisotropie infinite medium is derived, on the basis of which an integral equation for the scattered displacement field associated with many inhomogeneities of arbitrary shapes is proposed with the help of an equivalent body force and two-dimensional Heaviside functions.
