Development of a three-dimensional semi-analytical elastic-plastic contact code
Development of a three-dimensional semi-analytical elastic-plastic contact code
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DOI：
10.1115/1.1467920
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发表时间：
2002-10-01
影响因子：
2.5
通讯作者：
Girodin, D
中科院分区：
文献类型：
--
作者：
Jacq, C;Nélias, D;Girodin, D
提出并验证了一种基于半解析方法的三维弹塑性接触程序。接触问题在赫兹框架内求解。然后引入含初始应变的互易定理，将表面几何形状表示为接触压力和塑性应变的函数。塑性的不可逆性导致弹塑性接触问题采用增量形式表述，并且建立了解决该问题的所有算法。通过对互易定理进行积分，得到了由塑性应变给出残余应力和表面位移的解析表达式。讨论了使用有限元（FE）方法求解弹塑性接触问题，并通过将结果与纳米压痕试验的实验数据进行比较，验证了本文提出的半解析程序。最后，给出了光滑表面和凹痕表面以及垂直加载或滚动加载情况下的滚动弹塑性接触问题的求解。与经典有限元程序相比，该程序的主要优势在于计算时间使得对三维接触问题进行瞬态分析变得可行，包括在需要精细网格时。
A three-dimensional elastic-plastic contact code based on semi-analytical method is presented and validated. The contact is solved within a Hertz framework. The reciprocal theorem with initial strains is then introduced, to express the surface geometry as a function of contact pressure and plastic strains. The irreversible nature of plasticity leads to an incremental formulation of the elastic-plastic contact problem, and all algorithm to solve this problem is set zip. Closed form expression, which give residual stresses and surface displacements from plastic strains, are obtained by integration of the reciprocal theorem. The resolution of the clastic-plastic contact using the finite clement (FE) method is discussed, and the semi-analytical code presented in this paper is validated by comparing results with experimental data from the nano-indentation test. Finally, the resolution of the rolling elastic-plastic contact is presented for smooth and dented surfaces and for a vertical or rolling loading. The main advantage of this code over classical FE codes is that the calculation time makes the transient analysis of three-dimensional contact problems affordable, including when a fine mesh is required.