Abstract: According to stress function theory of torsion bars with arbitrary cross section，the temperature field analogical solution is proposed for torsion stress function with arbitrary multi-connected section，by comparing the similarity between the controlling equations and boundary conditions of two-dimensional steady heat conduction and that of the torsion problem.Using the corresponding steady thermal conduction analysis existed in finite element analysis software ABAQUS，several torsion problems are solved by simulation; results verify the feasibility and effectiveness of this method．

Key words: multi-connected section, torsion, stress function, analogical solution

摘要： 根据任意截面杆件扭转问题的应力函数理论，通过比较二维稳态热传导问题和扭转问题在控制微分方程和边 界条件方面的相似性，提出了任意多连通等截面直杆扭转问题的应力函数温度场比拟直接求解法。利用有限元分 析软件ABAQUS 现有的稳态温度场分析功能，模拟求解了几种扭转问题的扭转应力函数，验证了本方法的可行性 和有效性。

关键词: 多连通截面, 扭转, 应力函数, 比拟计算