轴对称热弹性问题杂交基本解Trefftz有限元分析

Hybrid Fundamental Solution Based Trefftz Finite Element Analysis for Axisymmetric Thermoelasticity Problems

针对稳态热弹性问题,提出一种杂交基本解Trefftz有限元计算格式.数值求解过程中,温度荷载导致单元刚度方程出现域积分,使杂交基本解有限元法只含边界积分的优势消失.通过将问题的真实解分解为特解和齐次解两部分达到消除域积分的目的.数值算例表明,杂交基本解Trefftz有限元法计算结果与商业软件ABAQUS吻合,可验证本文方法的准确性与高效性.

A hybrid fundamental solution based Trefftz finite element method was proposed for steady-state thermoelasticity problems.During the numerical implementation,the domain integration involved in the element stiffness equation was formed due to temperature load,which made the advantage of only existing boundary integral disappeared.This domain integration could be eliminated by dividing the true solution of the problem into the homogeneous and particular solutions.Numerical examples show that the results obtained by the hybrid fundamental solution based finite method are agree well with those done by ABAQUS,and which can verify the accuracy and high efficiency of this method.