变系数位势问题的Trefftz有限元法  

Trefftz Finite Element Method for Potential Problem with Variable Coefficients

作　　者：王克用[1] 李培超[1] 

机构地区：[1]上海工程技术大学机械工程学院,上海201620

出　　处：《上海工程技术大学学报》2014年第1期58-62,67,共6页Journal of Shanghai University of Engineering Science

摘　　要：根据杂交泛函,将变系数位势问题在单元水平上转化为正交各向异性位势问题,近似认为材料性质在每个单元内保持不变,从而提出了基于完备解的Trefftz有限元模型.数值算例表明,所得结果与解析解相当吻合.Based on the hybrid functional, the potential problem with variable coefficients was converted to an orthotropie one at the element level. It was approaximately considered that the material properties within each element would remain unchanged,and a complete solution-based Trefftz finite element model was proposed. The numerical example illustrates that the result of the proposed method is in good agreement with that of the analytical solution.

关 键 词：变系数位势问题 Trefftz有限元法 正交各向异性化 杂交泛函 

分 类 号：O343.1[理学—固体力学]