Adhesive contact between a rippled elastic surface and a rigid spherical indenter: from partial to full contact

Soft Matter ◽  
2011 ◽  
Vol 7 (22) ◽  
pp. 10728 ◽  
Author(s):  
Congrui Jin ◽  
Krishnacharya Khare ◽  
Shilpi Vajpayee ◽  
Shu Yang ◽  
Anand Jagota ◽  
...  
Keyword(s):  
Adhesive Contact ◽  
Spherical Indenter ◽  
Elastic Surface ◽  
Full Contact

Revisiting the Maugis–Dugdale Adhesion Model of Elastic Periodic Wavy Surfaces

2016 ◽  
Vol 83 (10) ◽  
Author(s):  
Fan Jin ◽  
Xu Guo ◽  
Qiang Wan
Keyword(s):  
Flat Surface ◽  
Adhesion Force ◽  
Adhesive Contact ◽  
Interaction Zone ◽  
Dugdale Model ◽  
Full Contact ◽  
Type Contact ◽  
Wavy Surfaces ◽  
Contact Models ◽  
Adhesion Model

The plane strain adhesive contact between a periodic wavy surface and a flat surface has been revisited based on the classical Maugis–Dugdale model. Closed-form analytical solutions derived by Hui et al. [1], which were limited to the case that the interaction zone cannot saturate at a period, have been extended to two additional cases with adhesion force acting throughout the whole period. Based on these results, a complete transition between the Westergaard and the Johnson, Kendall, and Roberts (JKR)-type contact models is captured through a dimensionless transition parameter, which is consistent with that for a single cylindrical contact. Depending on two dimensionless parameters, different transition processes between partial and full contact during loading/unloading stages are characterized by one or more jump instabilities. Rougher surfaces are found to enhance adhesion both by increasing the magnitude of the pull-off force and by inducing more energy loss due to adhesion hysteresis.

Some Closed-Form Results for Adhesive Rough Contacts Near Complete Contact on Loading and Unloading in the Johnson, Kendall, and Roberts Regime

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Michele Ciavarella ◽  
Yang Xu ◽  
Robert L. Jackson
Keyword(s):  
Fractal Dimension ◽  
Closed Form ◽  
Adhesive Contact ◽  
Full Contact ◽  
Loading And Unloading ◽  
Complete Contact

Recently, generalizing the solution of the adhesiveless random rough contact proposed by Xu, Jackson, and Marghitu (XJM model), the first author has obtained a model for adhesive contact near full contact, under the Johnson, Kendall, and Roberts (JKR) assumptions, which leads to quite strong effect of the fractal dimension. We extend here the results with closed-form equations, including both loading and unloading which were not previously discussed, showing that the conclusions are confirmed. A large effect of hysteresis is found, as was expected. The solution is therefore competitive with Persson's JKR solution, at least in the range of nearly full contact, with an enormous advantage in terms of simplicity. Two examples of real surfaces are discussed.

scholarly journals Влияние продолжительности контакта и глубины индентирования на адгезионную прочность: эксперимент и численное моделирование

2020 ◽  
Vol 90 (10) ◽  
pp. 1769
Author(s):  
Я.А. Ляшенко ◽  
В.Л. Попов
Keyword(s):  
Numerical Simulation ◽  
Satisfactory Agreement ◽  
Adhesive Strength ◽  
Glass Substrate ◽  
Indentation Depth ◽  
Adhesive Contact ◽  
Spherical Indenter ◽  
Experimental Results ◽  
Fixed Load ◽  
Soft Rubber

The adhesive contact between a steel spherical indenter and a layer of transparent soft rubber fixed on a glass substrate is experimentally investigated. Obtained experimental results are compared with theory and numerical simulation, which demonstrates satisfactory agreement between these three approaches. The influence of the indenter time in the contact and the indentation depth on the value of the adhesive strength of the contact is studied. The features of experiments conducted under conditions of controlled displacement (fixed grips) and controlled force (fixed load) are discussed.

scholarly journals Adhesive contact of the Weierstrass profile

2015 ◽  
Vol 471 (2182) ◽  
pp. 20150248 ◽  
Author(s):  
L. Afferrante ◽  
M. Ciavarella ◽  
G. Demelio
Keyword(s):  
Fractal Dimension ◽  
Contact Problem ◽  
Contact Area ◽  
Finite Size ◽  
Adhesive Contact ◽  
Link Type ◽  
Full Contact ◽  
Contact Behaviour ◽  
Mean Pressure ◽  
Large Magnification

The Weierstrass series was considered in Ciavarella et al. (Ciavarella et al. 2000 Proc. R. Soc. Lond. A 456 , 387–405. ( doi:10.1098/rspa.2000.0522 )) to describe a linear contact problem between a rigid fractally rough surface and an elastic half-plane. In such cases, no applied mean pressure is sufficiently large to ensure full contact, and specifically there are not even any contact areas of finite dimension. Later, Gao & Bower (Gao & Bower 2006 Proc. R. Soc. A 462 , 319–348. ( doi:10.1098/rspa.2005.1563 )) introduced plasticity in the Weierstrass model, but concluded that the fractal limit continued to lead to what they considered unphysical predictions of the true contact size and number of contact spots, similar to the elastic case. In this paper, we deal with the contact problem between rough surfaces in the presence of adhesion with the assumption of a Johnson, Kendall and Roberts (JKR) regime. We find that, for fractal dimension D >1.5, the presence of adhesion does not qualitatively modify the contact behaviour. However, for fractal dimension D <1.5, a regularization of the contact area can be observed at a large magnification where the contact area consists of segments of finite size. Moreover, full contact can occur at all scales for D <1.5 provided the mean contact pressure is larger than a certain value. We discuss, however, the implication of our assumption of a JKR regime.

scholarly journals Insect adhesion on rough surfaces: analysis of adhesive contact of smooth and hairy pads on transparent microstructured substrates

2014 ◽  
Vol 11 (98) ◽  
pp. 20140499 ◽  
Author(s):  
Yanmin Zhou ◽  
Adam Robinson ◽  
Ullrich Steiner ◽  
Walter Federle
Keyword(s):  
Sharp Increase ◽  
Rough Surfaces ◽  
Adhesive Contact ◽  
Gradual Transition ◽  
Flat Plates ◽  
Shear Forces ◽  
Partial Contact ◽  
Full Contact ◽  
Contact Models ◽  
Simple Contact

Insect climbing footpads are able to adhere to rough surfaces, but the details of this capability are still unclear. To overcome experimental limitations of randomly rough, opaque surfaces, we fabricated transparent test substrates containing square arrays of 1.4 µm diameter pillars, with variable height (0.5 and 1.4 µm) and spacing (from 3 to 22 µm). Smooth pads of cockroaches ( Nauphoeta cinerea ) made partial contact (limited to the tops of the structures) for the two densest arrays of tall pillars, but full contact (touching the substrate in between pillars) for larger spacings. The transition from partial to full contact was accompanied by a sharp increase in shear forces. Tests on hairy pads of dock beetles ( Gastrophysa viridula ) showed that setae adhered between pillars for larger spacings, but pads were equally unable to make full contact on the densest arrays. The beetles' shear forces similarly decreased for denser arrays, but also for short pillars and with a more gradual transition. These observations can be explained by simple contact models derived for soft uniform materials (smooth pads) or thin flat plates (hairy-pad spatulae). Our results show that microstructured substrates are powerful tools to reveal adaptations of natural adhesives for rough surfaces.

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