The MFS-MPS for two-dimensional steady-state thermoelasticity problems
Date
2013Source
Engineering Analysis with Boundary ElementsVolume
37Issue
7-8Pages
1004-1020Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
We consider the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the method of particular solutions (MPS). A particular solution of the non-homogeneous equations of equilibrium associated with a planar isotropic linear thermoelastic material is derived from the MFS approximation of the boundary value problem for the heat conduction equation. Moreover, such a particular solution enables one to easily develop analytical solutions corresponding to any two-dimensional domain occupied by an isotropic linear thermoelastic solid. The accuracy and convergence of the proposed MFS-MPS procedure are validated by considering three numerical examples. © 2013 Elsevier Ltd. All rights reserved.
Collections
Cite as
Related items
Showing items related by title, author, creator and subject.
-
Article
A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. (2018)We embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Following the relative entropy formulation, ...
-
Article
Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
Christoforou, Cleopatra; Galanopoulou, Myrto Maria; Tzavaras, Athanasios (2019)For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measure-valued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable ...
-
Article
Efficient MFS algorithms for problems in thermoelasticity
Karageorghis, Andreas; Marin, L. (2013)We propose efficient fast Fourier transform (FFT)-based algorithms using the method of fundamental solutions (MFS) for the numerical solution of certain problems in planar thermoelasticity. In particular, we consider ...