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Plate buckling loads by the boundary element method. (English) Zbl 0804.73073
A boundary element solution of the plate buckling problem is extended and refined to accommodate any combination of loading and support conditions. It is complemented by a similar boundary element formulation yielding the prebuckling membrane state of stress for non-uniform distributions of edge loads. Both continuous and discontinuous models of various orders of approximation for boundary as well as domain unknowns have been employed and their effect on the accuracy of the solution algorithm is assessed. The computer code incorporates automatic mesh generation schemes for both the boundary and the domain through which a wide range of plate geometries can be discretized and analysed.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
74K20 Plates
74G60 Bifurcation and buckling
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