Mixed Non-Conforming Technique for Coupling FEM and BEM

Summary

To solve problems, in solid mechanics, like configurations of plates, shafts, or problems of fracture mechanics in two and three-dimensional space, it is very successful to work with the so-called hybrid stress method [1–6]. The main aim is to have, in the end, a procedure with which one can solve large problems with an influence matrix of band structure and of symmetrical and positive definite type. To obtain this, in general, for curved surfaces of bodies, in three-dimensional space, one can use the new method constructed in 1984 by E. Schnack, see 17, 81. This new method is a non-conforming method in variational formulation from mixed type. The finite element functions, especially the trial functions, have to be constructed by using an integral equation of quasi Fredholm type. Practical experience with this method shows the high convergence rate against conventional methods of FEM and BEM, and a, big advantage is, that one can work with the well-known software available from finite element packages.