Carbone G, Putignano C
Department of Mechanics, Mathematics and Mangagement, TriboLAB, Politecnico di Bari, Viale Japigia 182, 70126 Bari, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):032408. doi: 10.1103/PhysRevE.89.032408. Epub 2014 Mar 25.
In this paper, we show how the numerical theory introduced by the authors [Carbone and Putignano, J. Mech. Phys. Solids 61, 1822 (2013)] can be effectively employed to study the contact between viscoelastic rough solids. The huge numerical complexity is successfully faced up by employing the adaptive nonuniform mesh developed by the authors in Putignano et al. [J. Mech. Phys. Solids 60, 973 (2012)]. Results mark the importance of accounting for viscoelastic effects to correctly simulate the sliding rough contact. In detail, attention is, first, paid to evaluate the viscoelastic dissipation, i.e., the viscoelastic friction. Fixed the sliding speed and the normal load, friction is completely determined. Furthermore, since the methodology employed in the work allows to study contact between real materials, a comparison between experimental outcomes and numerical prediction in terms of viscoelastic friction is shown. The good agreement seems to validate-at least partially-the presented methodology. Finally, it is shown that viscoelasticity entails not only the dissipative effects previously outlined, but is also strictly related to the anisotropy of the contact solution. Indeed, a marked anisotropy is present in the contact region, which results stretched in the direction perpendicular to the sliding speed. In the paper, the anisotropy of the deformed surface and of the contact area is investigated and quantified.
在本文中，我们展示了作者[卡尔博内和普蒂尼亚诺，《固体力学物理杂志》61, 1822 (2013)]提出的数值理论如何能够有效地用于研究粘弹性粗糙固体之间的接触。通过采用作者在普蒂尼亚诺等人[《固体力学物理杂志》60, 973 (2012)]中开发的自适应非均匀网格，成功地应对了巨大的数值复杂性。结果表明了考虑粘弹性效应以正确模拟滑动粗糙接触的重要性。详细地说，首先关注评估粘弹性耗散，即粘弹性摩擦。固定滑动速度和法向载荷后，摩擦力就完全确定了。此外，由于该工作中采用的方法允许研究真实材料之间的接触，因此展示了在粘弹性摩擦方面实验结果与数值预测之间的比较。良好的一致性似乎至少部分地验证了所提出的方法。最后，结果表明粘弹性不仅带来了先前所述的耗散效应，而且还与接触解的各向异性密切相关。实际上，在接触区域存在明显的各向异性，该区域在垂直于滑动速度的方向上被拉伸。在本文中，对变形表面和接触面积的各向异性进行了研究和量化。
