A boundary element formulation for axi-symmetric problems in poro-elasticity

Download

index.pdf

Date

2006

Author

Özyazıcıoğlu, Mehmet H

Metadata

Show full item record

Item Usage Stats

132
views

96
downloads

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.

Subject Keywords

Strength of materials., Mechanics, Applied.

URI

http://etd.lib.metu.edu.tr/upload/3/12607351/index.pdf
https://hdl.handle.net/11511/16493

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

The DRBEM solution of incompressible MHD flow equations Bozkaya, Nuray; Tezer, Münevver (Wiley, 2011-12-10) This paper presents a dual reciprocity boundary element method (DRBEM) formulation coupled with an implicit backward difference time integration scheme for the solution of the incompressible magnetohydrodynamic (MHD) flow equations. The governing equations are the coupled system of Navier-Stokes equations and Maxwell's equations of electromagnetics through Ohm's law. We are concerned with a stream function-vorticity-magnetic induction-current density formulation of the full MHD equations in 2D. The stream f...
The use of dual reciprocity boundary element method in coupled thermoviscoelasticity Baranoglu, Besim; Mengi, Yalcin (Elsevier BV, 2006-01-01) A boundary element formulation is presented in a unified form for the analysis of thermoviscoelasticity problems. The formulation contains the thermoelastic material as a special case. The boundary-only nature of boundary element method is retained through the use of particular integral method; where the particular solutions are evaluated with the aid of dual reciprocity approximation. The proposed formulation can be used in both coupled and uncoupled thermoviscoelasticity analyses, and it permits performin...
A model for the computation of quantum billiards with arbitrary shapes Erhan, Inci M.; Taşeli, Hasan (Elsevier BV, 2006-10-01) An expansion method for the stationary Schrodinger equation of a three-dimensional quantum billiard system whose boundary is defined by an arbitrary analytic function is introduced. The method is based on a coordinate transformation and an expansion in spherical harmonics. The effectiveness is verified and confirmed by a numerical example, which is a billiard system depending on a parameter.
A frequency domain boundary element formulation for dynamic interaction problems in poroviscoelastic media Argeso, Hakan; Mengi, Yalcin (2014-02-01) A unified formulation is presented, based on the boundary element method, to perform the interaction analysis for the problems involving poroviscoelastic media. The proposed formulation permits the evaluation of all the elements of impedance and input motion matrices at a single step in terms of system matrices of boundary element method without solving any special problem, such as, unit displacement or load problem, as required by conventional methods. It further eliminates the complicated procedure and th...
A Shear flexible facet shell element for large deflection and instability analysis Oral, Süha (Elsevier BV, 1991-12-01) A facet shell element based on an anisoparametric plate bending element and a quadratic plane-stress element with vertex rotations is formulated for geometrically nonlinear analysis of shells. The updated Lagrangian formulation which proves to be effective for three-node elements is employed. The restriction of small rotation between the increments is removed by using Hsiao's finite rotation method in which the rigid body motion is eliminated from the total displacement. The displacement control is used to ...

Citation Formats

M. H. Özyazıcıoğlu, “A boundary element formulation for axi-symmetric problems in poro-elasticity,” Ph.D. - Doctoral Program, Middle East Technical University, 2006.