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A Newton-like algorithm to solve contact and wear problems with pressure-dependent friction coefficients
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2020-02-08 , DOI: 10.1016/j.cnsns.2020.105216
Po Ning , Yan Li , Zhiqiang Feng

This paper extends and improves the Newton algorithm to solve contact and wear problems with pressure-dependent friction coefficients. Especially, the wear problems with pressure-dependent friction coefficients are numerically solved for the first time. The contact forces are calculated by the bipotential method. Combining the calculation steps of contact forces with the local equilibrium equations, the contact and wear problems are described in the local form. The nonlinear equations are solved by a Newton-like algorithm in which the new piecewise continuous contact tangent matrices are explicitly derived. The contact tangent matrices contain the coupled relationship of the friction coefficients and the normal contact pressure. The wear is calculated via the Archard wear law when the global Gauss-Seidel-like iteration is converged. Numerical examples show that different pressure-dependent friction coefficients will affect the pressure distribution, the wear rate and shape of objects, and may result in different wear regimes in some cases.



中文翻译:

一种类似于牛顿的算法,可解决与压力有关的摩擦系数的接触和磨损问题

本文扩展和改进了牛顿算法,以解决与压力有关的摩擦系数的接触和磨损问题。特别是,第一次在数值上解决了压力相关的摩擦系数引起的磨损问题。接触力通过双电位法计算。将接触力的计算步骤与局部平衡方程相结合,以局部形式描述接触和磨损问题。非线性方程由牛顿式算法求解,其中明确推导了新的分段连续接触切线矩阵。接触切线矩阵包含摩擦系数和法向接触压力的耦合关系。当类似全局高斯-塞德尔的迭代收敛时,通过阿卡德磨损定律计算磨损。

更新日期:2020-02-08
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