The use of dual reciprocity boundary element method in coupled thermoviscoelasticity

Date

2006-01-01

Author

Baranoglu, Besim
Mengi, Yalcin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

242
views

0
downloads

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 performing the analysis in terms of fundamental solutions of viscoelastodynamics and diffusion (thermal) equation, and eliminates the need for using the complicated fundamental solutions of coupled thermoviscoelasticity. The formulation is performed in Fourier space where any viscoelastic model can be simulated via the correspondence principle. The determination of the response in time space requires the inversion which can be carried out conveniently by using the fast Fourier transform algorithm. For assessment, some sample problems, both uncoupled and coupled, are considered and whenever possible comparisons are given with the exact data. It is found that the formulation developed in the study, even with the simplest base function proposed in literature, may be used reliably in thermoviscoelasticity analysis, at least, for the problems with finite solution domains.

Subject Keywords

Mechanical Engineering, General Physics and Astronomy, Mechanics of Materials, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/65611

Journal

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

DOI

https://doi.org/10.1016/j.cma.2006.07.003

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

The finite element method for MHD flow at high Hartmann numbers Nesliturk, AI; Tezer, Münevver (Elsevier BV, 2005-01-01) A stabilized finite element method using the residual-free bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the resolving capability of high gradients near the layer rep-ions without refining mesh. We show that the RFB method is stable by proving that the numerical method is coercive even not only at low values but also at moderate and high values of the Hartmann number. Numerical results confirming t...
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...
A projection based variational multiscale method for a fluid–fluid interaction problem Ağgül, Mustafa ; Eroğlu, Fatma Güler ; Kaya Merdan, Songül; Labovsky, Alexer E. (Elsevier BV, 2020-06-15) The proposed method aims to approximate a solution of a fluid–fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplified version of the atmosphere–ocean coupling. Thus, the proposed method should be viewed as potentially applicable to air–sea coupled flows in turbulent regime. The method consists of two key ingredients. The geometric averaging approach is used for efficient and stable decoupling of the pr...
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 ...
A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows Eroglu, Fatma G.; Kaya Merdan, Songül; Rebholz, Leo G. (Elsevier BV, 2017-10-01) In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The projection-based VMS stabilization is added as a separate post-processing step to the standard POD approximation, and since the stabilization step is completely decoupled, the method can easily be incorporated into existing codes, and stabilization parameters can be tuned independe...

Citation Formats

B. Baranoglu and Y. Mengi, “The use of dual reciprocity boundary element method in coupled thermoviscoelasticity,” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, pp. 379–392, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65611.