BEM shape optimization of a hole in composite for minimum lagrangian

Abstract eng:
In composite materials a problem of optimal shape of hole is of great interest to designers and researchers. This problem seems to be theoretical but good application can be found in soil, fiber reinforced concretes, even steel structures, and, of course, in classical composites fabrication. Since an iteration process has to be constructed the problem can be identified as the problem of moving boundaries. From this conclusion the advantages of finite element method are suppressed and boundary elements should be prioritized. They do not require any improvement of the meshes in an arbitrary iterations step; the mesh can be selected in a reasonable way as it is auxiliary created only for necessary integration over the domain. The boundary element method appears to be extraordinarily advantageous in case the shape optimization is to be treated, although for classical arrangement fiber – matrix it also provides us with many affirmative properties.

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