A numerical elastic–plastic contact model for a half-space with inhomogeneous inclusions and cracks
A numerical elastic–plastic contact model for a half-space with inhomogeneous inclusions and cracks
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DOI：
10.1007/s00707-019-02390-2
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发表时间：
2019-03
期刊：
影响因子：
2.7
通讯作者：
Jing Yang;Xu Wang;Kun Zhou
中科院分区：
文献类型：
--
作者：
Jing Yang;Xu Wang;Kun Zhou
弹塑性接触问题在预测材料力学性能方面起着重要作用。本文研究了含非均匀夹杂和裂纹的半空间在接触载荷作用下的塑性行为。在该解中，塑性区是根据应力场方程和von Mises屈服准则确定的。通过修正共轭梯度法求解一组控制方程，得到了接触面积和表面压力分布。根据Eshelby等效夹杂法将非均匀夹杂建模为具有初始特征应变和未知等效特征应变的均匀夹杂。根据分布位错技术，将裂纹视为未知位错密度分布的集合。通过对圆柱体加载半空间的不均匀夹杂物和垂直或水平裂纹的实例研究，探讨了不均匀夹杂物的杨氏模量和位置对材料塑性行为的影响。
The elastic–plastic contact problem plays an important role in predicting the mechanical properties of materials. In this paper, a semi-analytic solution is developed to investigate the plastic behaviors of a half-space with inhomogeneous inclusions and cracks under contact loading. In this solution, the plastic zones are determined based on the stress field equations and the von Mises yield criterion. The contact area and surface pressure distribution are obtained by solving a set of governing equations via a modified conjugate gradient method. The inhomogeneous inclusions are modeled as homogeneous inclusions with the initial eigenstrains plus unknown equivalent eigenstrains according to the Eshelby’s equivalent inclusion method. The cracks are treated as a collection of distributions of unknown dislocation densities according to the distributed dislocation technique. The case studies of a cylinder loaded against a half-space with inhomogeneous inclusions and vertical or horizontal cracks are conducted to explore the effects of the Young’s moduli and positions of the inhomogeneous inclusions on the plastic behavior of materials.