基于中间平面的三维单道无偏段对段接触交互罚法

IF 7.3 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Indrajeet Sahu, Nik Petrinic
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引用次数: 0

摘要

这项工作介绍了一种接触交互方法,用于无偏处理接触面,而不将接触面指定为主从面。相互作用的离散段之间的接触牵引力相对于中间平面在一个单一的通道进行评估,固有地保持牵引力平衡。这些牵引力是基于对相对表面之间真正的相互渗透的惩罚,并描述了它们对离散接触段的积分过程。详细检查可能的几何构型的相互作用的3D段提供了支持视觉理解和更好的牵引评估准确性。通过接触贴片试验和赫兹接触的解析解验证了该方法的准确性和鲁棒性,证明了该方法能够重现平面和曲面之间的接触。该方法通过了接触斑试验,接触压力传递均匀,符合有限元精度水平。在赫兹接触中,它收敛于具有适当网格精细化和适当高惩罚因子的解析解。本文还讨论了两杆间的弹性碰撞和非弹性碰撞以及圆柱间的斜碰撞等动力学问题。该算法能够在静态和动态情况下高精度地解决非保形网格中平面和曲面之间的接触问题,这表明它适用于包括自接触在内的一般接触问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Midplane based 3D single pass unbiased segment-to-segment contact interaction using penalty method
This work introduces a contact interaction methodology for an unbiased treatment of contacting surfaces without assigning surfaces as master and slave. Contact tractions between interacting discrete segments are evaluated with respect to a midplane in a single pass, inherently maintaining traction equilibrium. These tractions are based on the penalisation of true interpenetration between opposite surfaces, and the procedure of their integral for discrete contacting segments is described. A detailed examination of the possible geometric configurations of interacting 3D segments is provided to support visual understanding and better traction evaluation accuracy. The accuracy and robustness of the proposed method are validated against the analytical solutions of the contact patch test and Hertzian contact, demonstrating the capability to reproduce contact between flat and curved surfaces. The method passes the contact patch test with the uniform transmission of contact pressure matching the accuracy levels of finite elements. It converges towards the analytical solution with appropriate mesh refinement and a suitably high penalty factor in Hertzian contact. Dynamic problems involving elastic and inelastic collisions between two bars, as well as oblique collisions of cylinders, are also presented. The ability of the algorithm to resolve contacts between flat and curved surfaces in nonconformal meshes for both static and dynamic cases with high accuracy demonstrates its versatility for general contact problems, including self-contact.
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来源期刊
CiteScore
12.70
自引率
15.30%
发文量
719
审稿时长
44 days
期刊介绍: Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.
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