圆柱体棒弹塑性挠度问题的点松弛法

Point Relaxation Method of the Problem of the Elasto-plastic Torsion of a Cylindrical Bar

直接求解圆柱体棒弹塑性挠度问题的方程是很困难的,为此先将其转化成与之等价的变分不等式问题,接着运用点松弛法求解该变分问题,从而很好地解决了原问题.论文表明变分不等式在弹塑性挠度问题中有着广泛的应用.

It is difficult to solve the equation of the Elasto-plastic torsion of a cylindrical bar directly.Because of this,we turn it into the equivalent variational inequality problem.Then we solve this variational problem by point relaxation methods.So it solves the original problem very well.The paper shows the variational inequality is widely in the application of the elasto-plastic torsion problem.