Analytical Formulae for Potential Integrals on Triangles

  title={Analytical Formulae for Potential Integrals on Triangles},
  author={M. Carley},
  journal={Journal of Applied Mechanics},
  • M. Carley
  • Published 2013
  • Mathematics, Physics
  • Journal of Applied Mechanics
The problem of evaluating potential integrals on planar triangular elements has been addressed using a polar coordinate decomposition, giving explicit formulae for the regular and for the principal value and finite part integrals used in hypersingular formulations. The resulting formulae are general, exact, easily implemented, and have only one special case, that of a field point lying in the plane of the element. Results are presented for the evaluation of the potential and its gradients… Expand

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Fil: Sarraf, Sofia Soledad. Universidad Nacional del Comahue. Facultad de Ingenieria. Departamento de Mecanica; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas; Argentina


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