Abstract

Although the Boundary Element Method is a well established numerical method, its applicability to shell analysis has been restricted to few specific geometries due to the lack of a fundamental solution for arbitrarily shaped shells. On the other hand, the Modified Local Green's Function Method, MLGFM, was envisaged as a Galerkin Boundary Element Method for treating problems without making use of an explicit form of a fundamental solution, but by using numerically computed Green's matrices. This arises the question whether the MLGFM can successfully extend the applicability of BEM to shells with arbitrary shapes. So, in this paper, the MLGFM formalism for modeling shells with arbitrary shapes and including transverse shear deformations is detailed. The first numerical solutions are presented and compared with some finite element results.

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