Radial Integration Boundary Element Method for Nonlinear and Nonhomogenous Thin-Structures
In this paper, a robust boundary element analysis technique based on the radial integration method is presented for solving 2D and 3D nonlinear and non-homogeneous heat transfer and thermoelasticity problems. Firstly, general boundary-domain integral equations are derived using the weighted residual method by employing fundamental solutions for corresponding linear homogeneous problems. Then, domain integrals appearing in the integral equations are transformed into equivalent boundary integrals using the radial integration method, resulting in a pure boundary element analysis algorithm without need of internal cells. The thermal and mechanical material properties can be the functions of both temperature (resulting in nonlinear heat transfer) and spatial coordinates (for non-homogeneous problems). The Newton-Raphson iteration scheme is applied to solve the resulting nonlinear equation set. The nearly singular boundary integrals stemming from treating thin-structures using BEM are evaluated using the non-equally spaced element sub-division technique. The three-step solver of multi-domain BEM is employed to solve composite structural problems consisting of different materials. Numerical examples are given to demonstrate the correctness and efficiency of the presented method.
X.W.Gao J.Wang
School of Aeronautics and Astronautics,Dalian University of Technology,Dalian,116024,China Department of Engineering Mechanics,Southeast University,Nanjing,210096,China
国际会议
南京
英文
1
2009-10-18（万方平台首次上网日期，不代表论文的发表时间）