基于MLS-NMM的摩擦接触问题研究

发布时间：2018-04-01 14:32

本文选题：移动最小二乘插值　切入点：数值流形法　出处：《工程力学》2017年11期

【摘要】：摩擦接触问题的求解是将基于移动最小二乘插值的数值流形法(MLS-NMM)应用到裂纹扩展的必经之路。该文通过结合罚-线性互补方式的施加接触边界条件,并使用拉格朗日乘子法施加本质边界条件,得出一套基于MLS_NMM的摩擦接触问题的求解体系。该方法无需节点与边界重合,则可域外布点和均匀布点,来提高插值精度和降低布点难度,尤其是接触边界处。采用罚-线性互补的方式施加接触条件,使计算格式统一而简洁,利于编程实现。通过算例表明,该方法能准确地模拟接触面的张开、黏结和滑动状态,证明该方法对求解接触摩擦问题是可行的、有效的。
[Abstract]:The solution of friction contact problem is the only way to apply MLS-NMMM based on moving least square interpolation to crack growth.In this paper, a solution system of friction contact problem based on MLS_NMM is obtained by applying the contact boundary condition in combination with the penalty linear complementary method and using the Lagrange multiplier method to apply the essential boundary condition.This method can increase the interpolation accuracy and reduce the difficulty of collocation, especially at the contact boundary, because the nodes do not have to coincide with the boundary.By applying contact condition in the way of penalty-linear complementarity, the calculation format is uniform and concise, which is easy to be realized by programming.The numerical examples show that the method can accurately simulate the opening, bonding and sliding states of contact surfaces. It is proved that this method is feasible and effective for solving contact friction problems.
【作者单位】：中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室;中国科学院大学;
【基金】：国家973项目(2014CB047100) 国家自然科学基金项目(11572009,51538001)
【分类号】：TU45

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