Body loads in scaled boundary finite-element method Original Research Article

The solution of the scaled boundary finite-element equation in displacement with body loads is derived. The non-homogeneous term caused by the body loads is processed using the technique of variation of parameters. Integrals in the radial direction arise which can, however, be evaluated explicitly for concentrated loads and loads varying as power functions in the radial coordinate. In these cases no additional approximations are introduced. The scaled boundary finite-element method thus remains a semi-analytical fundamental-solution-less boundary-element method based on finite elements.