6533b7d7fe1ef96bd12690ee

RESEARCH PRODUCT

Stress fields by the symmetric Galerkin boundary element method

Vincenza MilanaS. TerravecchiaT. PanzecaF. Cucco

subject

Body forceApplied MathematicsMechanical EngineeringMathematical analysisBoundary (topology)Mixed boundary conditionSingular boundary methodBoundary knot methodVolume integralMechanics of MaterialsModeling and SimulationGalerkin methodBoundary element methodMathematics

description

The paper examines the stress state of a body with the discretized boundary embedded in the infinite domain subjected to layered or double-layered actions, such as forces and displacement discontinuities on the boundary, and to internal actions, such as body forces and thermic variations, in the ambit of the symmetric Galerkin boundary element method (SGBEM). The stress distributions due to internal actions (body forces and thermic variations) were computed by transforming the volume integrals into boundary integrals. The aim of the paper is to show the tension state in Ω∞ as a response to all the actions acting in Ω when this analysis concerns the crossing of the discretized boundary, thus demonstrating the possible presence of singularities. Finally, the displacement method by SGBEM is mentioned and some examples are presented using the KARNAK program codified by some of the present authors.

https://doi.org/10.1243/0309324042379338