A non-singular method of fundamental solutions for two-dimensional steady-state isotropic thermoelasticity problemsqingguo liu
, Božidar Šarler
, 2017, izvirni znanstveni članek
Opis: 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.
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Povzetek najdenega: ... Keywords: Isotropic thermoelasticity Meshless method Non-singular method of... ...Meshless method Non-singular method of fundamental solutions Collocation Eﬃcient desingularisation...
Ključne besede: Keywords: Isotropic thermoelasticity Meshless method Non-singular method of fundamental solutions Collocation Eﬃcient desingularisation
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