Energy consistent algorithms for frictional contact problems
Energy consistent algorithms for frictional contact problems
复制标题
摩擦接触问题的能量一致算法
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
T. Laursen
中科院分区：
文献类型：
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作者：
V. Chawla;T. Laursen
在本文中，能量和动量守恒算法范式被扩展为包含物理耗散现象：动态摩擦接触。在处理保守系统的其他工作中，主要目标通常是维持非线性状态下的数值稳定性，而在本研究中，我们不仅寻求实现这一好处，而且还寻求与摩擦过程相关的物理耗散的精确算法生成。这里的方法具有用于局部摩擦条件演化的乘积公式算法，以及由先验能量估计引导的相关算子分割。由此产生的算法的特点是在粘摩擦过程中能量精确守恒，并且正耗散与滑动过程中使用的摩擦模型一致。该算法的有效性通过一系列涉及大变形和摩擦滑移的有限元模拟得到证明，并与更传统的方案进行了适当的比较。 © 1998 约翰威利父子公司。
In this paper, the energy and momentum conserving algorithmic paradigm is extended to encompass a phenomenon featuring physical dissipation: dynamic frictional contact. Whereas in other works dealing with conservative systems the chief aim is often the maintenance of numerical stability in the non-linear regime, in this investigation we seek to achieve not only this benefit but also the accurate algorithmic production of physical dissipation associated with frictional processes. The approach here features a product formula algorithm for the evolution of local frictional conditions, with the associated operator split guided by an a priori energy estimate. The resulting algorithm is characterized by exact conservation of energy during stick friction, and positive dissipation consistent with the frictional model used during slip. Effectiveness of the algorithm is demonstrated by a series of finite element simulations involving large deformations and frictional slip, complete with appropriate comparisons to more traditional schemes. © 1998 John Wiley & Sons, Ltd.