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Analytical integrations in 2D BEM elasticity

Tipo de material: TextoTextoSeries ; International Journal for Numerical Methods in Engineering, 53(7), p.1695-1719, 2002Trabajos contenidos:
  • Salvadori, A
Tema(s): Recursos en línea: Resumen: In the context of two-dimensional linear elasticity, this paper presents the closed form of the integrals that arise from both the standard (collocation)boundary element method and the symmetric Galerkin boundary element method. Adopting polynomial shape functions of arbitrary degree on straight elements, <nite part of Hadamard, Cauchy principal values and Lebesgue integrals are computed analytically, working in a local coordinate system. For the symmetric Galerkin boundary element method, a study on the singularity of the external integral is conducted and the outer weakly singular integral is analytically performed. Numerical tests are presented as a validation of the obtained results.
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In the context of two-dimensional linear elasticity, this paper presents the closed form of the integrals that arise from both the standard (collocation)boundary element method and the symmetric Galerkin boundary element method. Adopting polynomial shape functions of arbitrary degree on straight elements, <nite part of Hadamard, Cauchy principal values and Lebesgue integrals are computed analytically, working in a local coordinate system. For the symmetric Galerkin boundary element method, a study on the singularity of the external integral is conducted and the outer weakly singular integral is analytically performed. Numerical tests are presented as a validation of the obtained results.

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