6533b82bfe1ef96bd128deda

RESEARCH PRODUCT

Direct stiffness matrices of BEs in the Galerkin BEM formulation

Maria SalernoT. PanzecaH. Fujita Yashima

subject

Mechanical EngineeringNumerical analysisMultiple integralMathematical analysisGeneral Physics and AstronomyStiffnessExact solutions in general relativitySingularityMechanics of MaterialsmedicineGeneral Materials Sciencemedicine.symptomGalerkin methodBoundary element methodMathematicsStiffness matrix

description

Abstract In the analysis of an elastic two-dimensional solid body by means of the Symmetric Galerkin Boundary Element Method (SGBEM), difficulties arise in the computation of some terms of the solving system coefficients. In fact these coefficients are expressed as double integrals with singularities of order 1/ r 2 , r being the distance between the field and source points. In order to compute these coefficients a strategy based on Schwartz's distribution theory is employed. In this paper the direct stiffness matrix related to the generic node of the free boundary are computed in closed form.

https://doi.org/10.1016/s0997-7538(00)01117-7