Resolving Domain Integral Issues in Isogeometric Boundary Element Methods via Radial Integration:A Study of Thermoelastic Analysis  

作　　者：Shige Wang Zhongwang Wang Leilei Chen Haojie Lian Xuan Peng Haibo Chen 

机构地区：[1]College of Architecture and Civil Engineering,Xinyang Normal University,Xinyang,464000,China [2]Key Laboratory of In-situ Property-improving Mining of Ministry of Education,Taiyuan University of Technology,Taiyuan,030024,China [3]Institute for Computational Engineering,Faculty of Science,Technology and Communication,University of Luxembourg,Esch-sur-Alzette,Luxembourg [4]Department of Mechanical Engineering,Suzhou University of Science and Technology,Suzhou,215009,China [5]CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,Hefei,230026,China

出　　处：《Computer Modeling in Engineering & Sciences》2020年第8期585-604,共20页工程与科学中的计算机建模（英文）

基　　金：This study was funded by the National Natural Science Foundation of China(NSFC)(Grant Nos.11702238,51904202 and 11902212)and Nanhu Scholars Program for Young Scholars of XYNU.

摘　　要：The paper applied the isogeometric boundary element method(IGABEM)to thermoelastic problems.The Non-Uniform Rational B-splines(NURBS)used to construct geometric models are employed to discretize the boundary integral formulation of the governing equation.Due to the existence of thermal stress,the domain integral term appears in the boundary integral equation.We resolve this problem by incorporating radial integration method into IGABEM which converts the domain integral to the boundary integral.In this way,IGABEM can maintain its advantages in dimensionality reduction and more importantly,seamless integration of CAD and numerical analysis based on boundary representation.The algorithm is verified by numerical examples.

关 键 词：Isogeometric analysis NURBS boundary element method THERMOELASTIC radial integration method 

分 类 号：O17[理学—数学]