torsion elasticity

The elastic torsion can be considered as a boundary value problem of Poisson s equation.

弹性扭转问题可看成是Poisson方程的边值问题 ,R 函数理论保证了对于任何复杂的区域 ,总可以找到一个规范化方程 ,从而可以将弹性扭转问题化为一个无奇异性的第二类Fredholm积分方程 。

The author discusses the boundary element method (BEM )for the problem of elastic torsion of the multihole bars, and proves that finding the solution of the nonlocal boundary value problem is equivalent of finding the solution of the corresponding boundary integral equation.

讨论了用边界元法解多孔直杆弹性扭转问题，证明了求具有等值面边界条件的非局部边值问题的解与求对应的边界积分方程的解是等价的，并将计算中出现的区域积分全部化为边界积分，从而减少了所需准备的初始数据和计算时间。