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本文采用有限元法和增量理论对小位移小应变的弹塑性接触问题进行分析。在接触问题的计算方法上,通过建立接触点的柔度相容方程,将接触面上的几何非线性转化到局部求解,使接触迭代的计算量大大降低。在塑性计算中,通过采用增量切线刚度法和初刚度混合使用的方法,减少了塑性修正迭代的计算量。本文还编制了弹塑性接触问题有限元分析的微机程序。
In this paper, finite element method and incremental theory of small displacement small strain of the elastic-plastic contact problems are analyzed. In the method of calculating the contact problem, the geometrical non-linearity on the contact surface is transformed into a local solution by establishing the compliance equation of the contact point so that the computational complexity of the contact iteration is greatly reduced. In plastic computation, the amount of computation of plastic correction iteration is reduced by using a combination of incremental tangent stiffness method and initial stiffness. In this paper, a computer program for the finite element analysis of elastoplastic contact problems has also been developed.