Multiple Inhomogeneous Inclusions and Cracks in a Half Space Under Elastohydrodynamic Lubrication Contact
Multiple Inhomogeneous Inclusions and Cracks in a Half Space Under Elastohydrodynamic Lubrication Contact
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DOI：
10.1142/s1758825115400037
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发表时间：
2015-02
影响因子：
3.5
通讯作者：
Qingbing Dong;K. Zhou
中科院分区：
文献类型：
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作者：
Qingbing Dong;K. Zhou
给出了弹流润滑接触下半空间中多个非均匀夹杂和裂纹的半解析解。在建立控制方程时，采用EShelby等效夹杂方法，将接触面下的每个非均匀夹杂模拟为具有初始本征应变和未知等效本征应变的均匀夹杂，而根据位错分布技术，将I、II型混合型裂纹视为密度未知的爬行和滑移位错分布。这样的处理将问题转化为均匀的润滑接触，由于夹杂物和裂纹而产生扰动变形。控制方程中的未知量通过数值算法进行积分，并利用改进的共轭梯度法迭代确定。迭代过程一直进行到半空间表面位移收敛为止，半空间表面位移包括非均匀夹杂和裂纹以及流体压力引起的位移。文中给出了算例，说明了该方法的通用性。
A semi-analytic solution is presented for multiple inhomogeneous inclusions and cracks in a half-space under elastohydrodynamic lubrication contact. In formulating the governing equations, each inhomogeneous inclusion embedded under the contacting surfaces is modeled as a homogeneous inclusion with initial eigenstrains plus unknown equivalent eigenstrains by employing Eshelby's equivalent inclusion method, while each crack of mixed modes I and II is treated as a distribution of climb and glide dislocations with unknown densities according to the dislocation distribution technique. Such a treatment converts the problem into a homogeneous lubricated contact with disturbed deformation due to the inclusions and cracks. The unknowns in the governing equations are integrated by a numerical algorithm and determined iteratively by utilizing a modified conjugate gradient method. The iterative process is performed until the convergence of the half-space surface displacements, which involve the displacements due to the inhomogeneous inclusions and cracks as well as the fluid pressure. Samples are presented to demonstrate the generality of the solution.