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Solution verification for explicit transient dynamics problems in the presence of hourglass and contact forces

机译：在存在沙漏和接触力的情况下针对显式瞬态动力学问题的解决方案验证

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摘要

This paper presents solution verification studies applicable to a class of problems involving wave propagation, fric-tional contact, geometrical complexity, and localized incompressibility. The studies are in support of a validation exercise of a phenomenological screw failure model. The numerical simulations are performed using a fully explicit transient dynamics finite element code, employing both standard four-node tetrahedral and eight-node mean quadrature hexa-hedral elements. It is demonstrated that verifying the accuracy of the simulation involves not only consideration of the mesh discretization error, but also the effect of the hourglass control and the contact enforcement. In particular, the proper amount of hourglass control and the behavior of the contact search and enforcement algorithms depend greatly on the mesh resolution. We carry out the solution verification exercise using mesh refinement studies and describe our systematic approach to handling the complicating issues. It is shown that hourglassing and contact must both be carefully monitored as the mesh is refined, and it is often necessary to make adjustments to the hourglass and contact user input parameters to accommodate finer meshes. We introduce in this paper the hourglass energy, which is used as an "error indicator" for the hourglass control. If the hourglass energy does not tend to zero with mesh refinement, then an hourglass control parameter is changed and the calculation is repeated.
机译：本文提出了适用于涉及一类问题的解决方案验证研究，这些问题涉及波传播，摩擦接触，几何复杂性和局部不可压缩性。这些研究支持现象学螺丝钉失效模型的验证。数值模拟是使用完全显式的瞬态动力学有限元代码执行的，同时使用标准的四节点四面体和八节点平均正交六面体单元。结果表明，验证仿真的准确性不仅涉及网格离散化误差的考虑，而且还涉及沙漏控制和接触强制的影响。特别是，沙漏控制的适当量以及联系人搜索和执行算法的行为在很大程度上取决于网格分辨率。我们使用网格细化研究进行了解决方案验证练习，并描述了我们处理复杂问题的系统方法。结果表明，随着网格的细化，必须仔细监视沙漏和接触，并且经常有必要对沙漏和接触用户输入参数进行调整以适应更细的网格。我们在本文中介绍了沙漏能量，它被用作沙漏控制的“错误指示符”。如果通过网格细化沙漏能量不会趋于零，则更改沙漏控制参数并重复计算。

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