| Summary: | 碩士 === 逢甲大學 === 航太與系統工程所 === 100 === By lowering analysis orders, the boundary element method (BEM) features boundary discretization so that less computer memory and modeling efforts are required in the preprocess of engineering analysis. In contrast with the conventional domain solution techniques (such as the Finite Element method and the Finite Difference method) requiring domain discretization, the BEM has eased the modeling efforts. However, for the 3D thermoelastic problems, an extra volume integral will arise that requires mesh discretization throughout the whole domain. As a consequence, any numerical integration of the volume integral shall destroy the distinctive notion of boundary discretization in the BEM. Owing to the mathematical complexity of the elastostatic fundamental solutions for 3D anisotropic bodies, the associated boundary integral equation considering thermal effects has not been successfully solved solely by the boundary meshes. Targeting the 3D anisotropic thermoelastic problem in the BEM, the present research of the thesis proposes a volume-to-surface integral transformation approach by the Green’s identity as a research platform of a completely successful BEM solution in the future.
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