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DOI	10.1073/pnas.2021684118
	Mechanics of two filaments in tight orthogonal contact
	Grandgeorge P.; Baek C.; Singh H.; Johanns P.; Sano T.G.; Flynn A.; Maddocks J.H.; Reis P.M.
发表日期	2021
ISSN	00278424
卷号	118 期号:15
英文摘要	Networks of flexible filaments often involve regions of tight contact. Predictively understanding the equilibrium configurations of these systems is challenging due to intricate couplings between topology, geometry, large nonlinear deformations, and friction. Here, we perform an in-depth study of a simple, yet canonical, problem that captures the essence of contact between filaments. In the orthogonal clasp, two filaments are brought into contact, with each centerline lying in one of a pair of orthogonal planes. Our data from X-ray tomography (µCT) and mechanical testing experiments are in excellent agreement with finite element method (FEM) simulations. Despite the apparent simplicity of the physical system, the data exhibit strikingly unintuitive behavior, even when the contact is frictionless. Specifically, we observe a curvilinear diamond-shaped ridge in the contact-pressure field between the two filaments, sometimes with an inner gap. When a relative displacement is imposed between the filaments, friction is activated, and a highly asymmetric pressure field develops. These findings contrast to the classic capstan analysis of a single filament wrapped around a rigid body. Both the µCT and FEM data indicate that the cross-sections of the filaments can deform significantly. Nonetheless, an idealized geometrical theory assuming undeformable tube cross-sections and neglecting elasticity rationalizes our observations qualitatively and highlights the central role of the small, but nonzero, tube radius of the filaments. We believe that our orthogonal clasp analysis provides a building block for future modeling efforts in frictional contact mechanics of more complex filamentary structures. © 2021 National Academy of Sciences. All rights reserved.
英文关键词	Capstan equation; Contact mechanics; Elastic structures; Kirchhoff rods; Knots
语种	英语
来源期刊	Proceedings of the National Academy of Sciences of the United States of America
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/179894
作者单位	Flexible Structures Laboratory, Institute of Mechanical Engineering, École Polytechnique Fédérale de Lausanne, Lausanne, 1015, Switzerland; Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, United States; Laboratory for Computation and Visualization in Mathematics and Mechanics, Institute of Mathematics, École Polytechnique Fédérale de Lausanne, Lausanne, 1015, Switzerland
推荐引用方式 GB/T 7714	Grandgeorge P.,Baek C.,Singh H.,et al. Mechanics of two filaments in tight orthogonal contact[J],2021,118(15).
APA	Grandgeorge P..,Baek C..,Singh H..,Johanns P..,Sano T.G..,...&Reis P.M..(2021).Mechanics of two filaments in tight orthogonal contact.Proceedings of the National Academy of Sciences of the United States of America,118(15).
MLA	Grandgeorge P.,et al."Mechanics of two filaments in tight orthogonal contact".Proceedings of the National Academy of Sciences of the United States of America 118.15(2021).