Interaction Problems on Soil and Structures using BE/FE Hibrid Techniques

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The coupling procedure,using finite and boundary elements,is proposed numerically to analize interaction problems on soil and structures. Various problems, such as footings on layers, slope problems with fractured masses, steady state heat conduction problems and unsteady state heat ones are calculated by this proposed scheme. Results are summarised as follows:(1)This procedure is efficiently applicable to complicated boundaries, namely, rather complicated boundaries are discretized by finite elements and simpler ones are done by boundary elements. Then, not only input data but also computer resources are reduced.(2) If a material body consists of subdomains whose material constants are different, joint elements are introduced connecting the subdomains. Then slipping phenomena between subdomains can be treated. If several subdomains are entirely connected without slip, we may choose spring constants of the joint elements approximately as <K_s> =100G and <K_n> =100E.(3) The equivalent FE scheme is much easier to program in a computer code. However, this scheme needs to invert coefficient matrix G. Then, the BE region should be divided into several subdomains in order to reduce the size of G. In this divided procedure, the joint elements mentioned above can also be introduced.(4) For the non-linear stress transfer analysis, the region where failure is supposed is discretized by finite elements, and others by boundary elements. This is one of the most realistic discretization schemes for the infinite problem. In this research the other hibrid technique is developed using SUP method and BE method. It is concluded that the proposed coupling procedure is very efficient to analyze various infinite problems.