期刊
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 37, 期 7-8, 页码 1004-1020出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2013.04.002
关键词
Linear thermoelasticity; Navier-Lame system; Method of fundamental solutions (MFS); Method of particular solutions (MPS)
资金
- Romanian National Authority for Scientific Research (CNCS-UEFISCDI) [PN-II-ID-PCE-2011-3-0521]
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. (C) 2013 Elsevier Ltd. All rights reserved.
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