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首页> 外文期刊>Journal of Engineering Mechanics >Return mapping procedure for frictional force calculation: Some insights
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Return mapping procedure for frictional force calculation: Some insights

机译：用于摩擦力计算的返回映射过程：一些见解

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摘要

The return mapping procedure is studied to gain insights for its numerical implementation to calculate the frictional force during contact analysis. A simple quasistatic truss-wall frictional contact analysis problem is used in the study. The problem has closed-form solutions which provide exact target solutions for a numerical algorithm. The penalty method and a true augmented Lagrangian method that automatically determines an accurate value of the penalty parameter are employed in the numerical study. It is determined that the return mapping procedure is not applicable unless the contacting node is constrained to stay at the initial contact point, and the total normal reaction force, the tangential reaction force and the friction limit have been determined. If these requirements are not met, inaccurate or even incorrect solutions are obtained. This characteristic of the procedure is studied by solving slip and stick cases with several different load increments. It is concluded that the return mapping procedure for friction force calculation should be implemented carefully to obtain accurate solutions for contact analysis problems.
机译：对返回映射过程进行了研究，以获取其数值实现以计算接触分析期间的摩擦力的见解。研究中使用了一个简单的准静态桁架-壁摩擦接触分析问题。该问题具有封闭形式的解决方案，可以为数值算法提供精确的目标解决方案。在数值研究中采用了惩罚方法和自动确定惩罚参数的准确值的真实增强拉格朗日方法。除非约束接触节点以使其停留在初始接触点，并且确定了总法向反作用力，切向反作用力和摩擦极限，否则确定返回映射过程不适用。如果不满足这些要求，则将获得不准确甚至不正确的解决方案。通过解决具有几个不同载荷增量的打滑和打滑情况来研究程序的这一特性。结论是，应认真执行用于摩擦力计算的返回映射过程，以获得接触分析问题的准确解决方案。

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