Qingguo Liu (Author), Božidar Šarler (Author)

Abstract

We consider a boundary meshless numerical solution for two-dimensional linear static thermoelastic problems. The formulation of the problem is based on the approach of Marin and Karageorghis, where the Laplace equation for the temperature field is solved first, followed by a particular solution of the non-homogenous term in the Navier-Lamé system for the displacement, the solution of the homogenous equilibrium equations, and finally the application of the superposition principle. The solution of the problem is based on the method of fundamental solutions (MFS) with source points on the boundary. This is, by complying with the Dirichlet boundary conditions, achieved by the replacement of the concentrated point sources with distributed sources over the disk around the singularity, and for complying with the Neumann boundary conditions by assuming a balance of the heat fluxes and the forces. The derived non-singular MFS is assessed by a comparison with analytical solutions and the MFS for problems that can include different materials in thermal and mechanical contact. The method is easy to code, accurate, efficient and represents a pioneering attempt to solve thermoelastic problems with a MFS-type method without an artificial boundary. The procedure makes it possible to solve a broad spectra of thermomechanical problems.

Keywords

isotropic thermoelasticity;meshless methods;non-singular method of fundamental solutions;collocation efficient desingularisation;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UNG - University of Nova Gorica
UDC: 531/533
COBISS: 4619259 Link will open in a new window
ISSN: 0955-7997
Views: 3749
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Other data

URN: URN:SI:UNG
Type (COBISS): Not categorized
Pages: str. 89-102
Issue: ǂVol. ǂ75
Chronology: Feb. 2017
DOI: 10.1016/j.enganabound.2016.11.010
ID: 9240763