WIT Press

A Boundary Element Formulation For Axi-symmetric Problems In Poro-elasticity


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165 - 176




474 kb

Paper DOI



WIT Press


M. H. Ozyazicioglu & M. Yener Ozkan


A formulation is proposed for the boundary element analysis of poro-elastic media with axi-symmetric geometry. The boundary integral equation is reduced to a set of line integral equations in the generating plane for each of the Fourier coefficients, through complex Fourier series expansion of boundary quantities in circumferential direction. The method is implemented into a computer program, where the fundamental solutions are integrated by Gaussian Quadrature along the generator, while Fast Fourier Transform algorithm is employed for integrations in circumferential direction. The strongly singular integrands in boundary element equations are regularized by a special technique. The Fourier transform solution is then inverted in to Rθz space via inverse FFT. The success of the method is assessed by problems with analytical solutions. A good fit is observed in each case, which indicates effectiveness and reliability of the present method. Keywords: poro-elasticity, boundary element method, axi-symmetric, fast Fourier transform, wave propagation. 1 Introduction Axi-symmetric boundary element formulations for elasto-dynamics [1, 2] and acoustics [3, 4] are available in the literature. However, these formulations are either fully axi-symmetric (both geometry and boundary conditions are axisymmetric) or they expand the boundary quantities into symmetric and antisymmetric modes, the final response is obtained by combining solutions for each of these modes. Accurate evaluation of either elliptic integrals or integrations in


poro-elasticity, boundary element method, axi-symmetric, fast Fourier transform, wave propagation