Finite element analysis of discontinuous contact problems

Download

index.pdf

Date

2006

Author

Bodur, Mehmet Ata

Metadata

Show full item record

Item Usage Stats

179
views

52
downloads

Contact is a phenomenon faced in every day life, which is actually a complex problem to tackle for engineers. Most of the times, may be impossible to get analytic or exact results for the interaction of bodies in contact. In this thesis work, solution of the frictionless contact of an elastic body, touching to a rigid planar surface for two-dimensional elasticity; namely plane stress, plane strain and axi-symmetric formulations is aimed. The problem is solved numerically, with Finite Element Method, and an Object Oriented computer program in C++ for this purpose is written, and the results are verified with some basic analytic solutions and ABAQUS package program. It is not aimed in this thesis work to give a new solution in the area of solution of contact problems, but instead, it is aimed to form a strong basis, and computational library, which is extendible for further development of the subject to include friction, plasticity, and different material modeling in this advanced field of mechanics.

Subject Keywords

Engineering mathematics.

URI

http://etd.lib.metu.edu.tr/upload/12606964/index.pdf
https://hdl.handle.net/11511/15705

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Characterization of fracture processes by continuum and discrete modelling KALISKE, M.; Dal, Hüsnü; FLEISCHHAUER, R.; JENKEL, C.; NETZKER, C. (Springer Science and Business Media LLC, 2012-09-01) A large number of methods to describe fracture mechanical features of structures on basis of computational algorithms have been developed in the past due to the importance of the topic. In this paper, current and promising numerical approaches for the characterization of fracture processes are presented. A fracture phenomenon can either be depicted by a continuum formulation or a discrete notch. Thus, starting point of the description is a micromechanically motivated formulation for the development of a loc...
Strictly singular operators and isomorphisms of Cartesian products of power series spaces Djakov, PB; Onal, S; Terzioglu, T; Yurdakul, Murat Hayrettin (1998-01-02) V. P. Zahariuta, in 1973, used the theory of Fredholm operators to develop a method to classify Cartesian products of locally convex spaces. In this work we modify his method to study the isomorphic classification of Cartesian products of the kind E-0(p)(a) x E-infinity(q) (b) where 1 less than or equal to p, q < infinity, p not equal q, a = (a(n))(n=1)(infinity) and b = (b(n))(n=1)(infinity) are sequences of positive numbers and E-0(p)(a), E(infinity)q(b) are respectively l(p)-finite and l(q)-infinite type...
Application of the boundary element method to parabolic type equations Bozkaya, Nuray; Tezer-Sezgin, Münevver; Department of Mathematics (2010) In this thesis, the two-dimensional initial and boundary value problems governed by unsteady partial differential equations are solved by making use of boundary element techniques. The boundary element method (BEM) with time-dependent fundamental solution is presented as an efficient procedure for the solution of diffusion, wave and convection-diffusion equations. It interpenetrates the equations in such a way that the boundary solution is advanced to all time levels, simultaneously. The solution at a requi...
Finite element study of biomagnetic fluid flow in a symmetrically stenosed channel Turk, O.; Tezer, Münevver; Bozkaya, Canan (Elsevier BV, 2014-03-15) The two-dimensional unsteady, laminar flow of a viscous, Newtonian, incompressible and electrically conducting biofluid in a channel with a stenosis, under the influence of a spatially varying magnetic field, is considered. The mathematical modeling of the problem results in a coupled nonlinear system of equations and is given in stream function-vorticity-temperature formulation for the numerical treatment. These equations together with their appropriate boundary conditions are solved iteratively using the ...
Solution of magnetohydrodynamic flow problems using the boundary element method Tezer, Münevver (Elsevier BV, 2006-05-01) A boundary element solution is implemented for magnetohydrodynamic (MHD) flow problem in ducts with several geometrical cross-section with insulating walls when a uniform magnetic field is imposed perpendicular to the flow direction. The coupled velocity and induced magnetic field equations are first transformed into uncoupled inhomogeneous convection-diffusion type equations. After introducing particular solutions, only the homogeneous equations are solved by using boundary element method (BEM). The fundam...

Citation Formats

M. A. Bodur, “Finite element analysis of discontinuous contact problems,” M.S. - Master of Science, Middle East Technical University, 2006.