A boundary element formulation for axi-symmetric problems in poro-elasticity
Boundary Elements and Other Mesh Reduction Methods XXXIII
Başkent Univ., ME) _____________________ iii I hereby declare that all information in this document has been obtained and presented in accordance with academic rules and ethical conduct. I also declare that, as required by these rules and conduct, I have fully cited and referenced all material and results that are not original to this work. Mehmet H. Özyazıcıoğlu iv ABSTRACT A formulation is proposed for the boundary element analysis of poro-elastic media with axi-symmetric geometry. The
... eometry. 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.