Boundary Element Analysis for 3D Transversely Isotropic Thermoelasticity

• Main Authors: Ren-fu Lee, 李仁輔
• Other Authors: Yui-Chuin Shiah
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/99647245789930489700

碩士 === 逢甲大學 === 航太與系統工程所 === 99 === When analyzing 3D generally anisotropic thermoelasticity problem in conjunction with the material thermal effect, the boundary integral equation will generate one volume integral. Any direct numerical integration of the extra volume integral shall require domain discretization that will destroy the BEM’s notion as a truly boundary solution technique. However, such integral transformation for 3D anisotropic thermoelasticity has not been accomplished yet in the past decades. The main difficulty stems from the mathematical complexity of the fundamental solutions for 3D anisotropic bodies. As the proscenium to further treat 3D generally anisotropic thermoelasticity, this paper focuses on making the Volume-to-surface integral transformation (VIT) for 3D transversely isotropic bodies. Analyzing the material with the force and thermal effect by BEM , and discussing the result of displacements and stresses. Inputting necessary data according to the fixed form of the program developed by FORTRAN codes, one may then calculate the elastic field on the boundary. At last, a few numerical examples are presented to demonstrate the veracity and accuracy for comparing the results with Ansys.