Thermoelastic analysis of 3D generally anisotropic bodies by the boundary element method. Issue 1 (3rd March 2016)

• Record Type: Journal Article
• Authors: Shiah, Y. C.; Tan, C. L.
• Is Part Of: Revue Européenne de mécanique numérique. Volume 25:Issue 1/2(2016)
• Page Start: 91
• Page End: 108
• Publication Date: 2016-03-03
• Subjects: Three-dimensional anisotropic thermoelasticity -- boundary element method -- analytical volume-to-surface integral transformation; Engineering mathematics -- Periodicals; Mechanics -- Data processing -- Periodicals; Finite element method -- Periodicals; Mechanics -- Mathematical models -- Periodicals; Engineering -- Statistical methods -- Periodicals; 621.05
• DOI: 10.1080/17797179.2016.1181038
• Languages: English
• ISSNs: 1779-7179

Abstract

Abstract: In the boundary element method (BEM) for stress analysis, it is well known that thermal loads give rise to an additional volume integral in the primary form of the boundary integral equation (BIE). This volume integral needs to be further transformed to surface ones in order to retain the characteristic of the BEM as a boundary solution technique. In this study of the BEM for 3D thermoelasticity in general anisotropy, the fundamental solutions are expressed as Fourier series with coefficients calculated using an explicit-form Green's function. In the exact volume-to-surface integral transformation associated with the term for the thermal effects in the BIE, a new kernel function is constructed. All formulations are implemented in an existing BEM code for 3D elastostatic analysis. Some numerical examples are presented to demonstrate the veracity of the formulations and the implementation, where the numerical results are compared with those obtained using the finite element method (FEM).