On Some Coupled Problems in Mechanics by the Coupling Technique of Boundary Element and Finite Element (Invited contribution)

Abstract

For some problems of solid mechanics and solid-fluid interaction problems, there are equations coupled by their variables or equations for different regions being coupled through some interboundary connections. In general, some discrete working schemes can be carried out through the weighted residual formulation of the basic governing equations and boundary requirements with properly chosen trial functions and test functions. These kinds of problems can be nonlinear in equations or involving some nonlinear boundary requirements. But for the linear problems the weighted residual formulations can always be transformed into the properly chosen conventional variational scheme so that some sort of symmetrically discreted form can still be maintained. In this paper after a general presentation of the problems some specific problems have been shown that it can be worked out through some sort of coupling usage of boundary elements and finite elements. These coupled problems, of course can be also worked out by using finite elements or boundary elements alone.