Note on the History of Contact Mechanics and Friction: Interplay of Electrostatics, Theory of Gravitation and Elasticity from Coulomb to Johnson-Kendall-Roberts Theory of Adhesion

Popova, E. I.; Popov, Valentin L.

doi:10.1134/s1029959918010010

Cited by 22 publications

(17 citation statements)

References 9 publications

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“…There are different experiments (Benz et al, 2006;Tiwari et al, 2017;Liu et al, 2018;Sahli et al, 2019), theories (Johnson, 1995;Persson, 2006;Persson and Scaraggi, 2014;Ciavarella, 2015;Papangelo et al, 2019), as well as computer simulations (Pastewka and Robbins, 2014;Rey et al, 2017;Li et al, 2019). A short historical review of the development of adhesion theories can be found in Popova and Popov (2018). The majority of theories for rough contacts are based on JKR-type adhesion interaction model (Johnson et al, 1971).…”

Section: Introductionmentioning

confidence: 99%

Adhesion Between Rigid Indenter and Soft Rubber Layer: Influence of Roughness

Lyashenko

Pohrt

2020

Front. Mech. Eng.

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We report a series of experiments on the indentation of steel indenters into a soft layer of transparent rubber with relatively high adhesion. The roughness properties of the steel indenters are varied by undergoing preparation using sandpaper with different grain sizes. Starting from a smooth surface, additional roughness increases the adhesive strength up to a critical roughness value, after which it significantly decreases. Furthermore, we look at the evolution of the contact area during slow indentation and detachment. It was found that, during indentation, the contact area changes more sharply compared to detachment (pull-off).

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Section: Introductionmentioning

confidence: 99%

Adhesion Between Rigid Indenter and Soft Rubber Layer: Influence of Roughness

Lyashenko

Pohrt

2020

Front. Mech. Eng.

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“…It is interesting to note that it took almost 50 years to make the next necessary (and, as a matter of fact, obvious) step after the JKR theory. On the other hand, the appearance of the JKR theory, which is nothing but a direct implementation of the Griffith crack theory, also took 50 years (Popova and Popov, 2018). For the sake of historical truth, let us, however, mention that a solution equivalent to that of JKR was obtained by Sperling already in 1964 in his unpublished doctoral thesis (Sperling, 1964;Borodich, 2014).…”

Section: Introductionmentioning

confidence: 99%

Non-adhesive Contacts With Different Surface Tension Inside and Outside the Contact Area

Popov

2020

Front. Mech. Eng.

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In the past decade, the influence of surface tension on contact properties has attracted much attention, especially in the context of contact of very soft materials (such as gels) or contacts at the nanoscale. However, in the most current studies it is assumed that the tension of the surface inside and outside the contact area is the same. In practical terms, this means that the object considered is an elastic body "coated" with a tensed membrane. In real contacts, there is no reason why the surface tensions of the "free interface" and the "contact interface" should be equal. On the contrary, especially in contacts of soft bodies with hard solid indenters, one can anticipate that they are completely different. In the present article, we consider an elastic contact taking into account different surface tensions inside and outside the contact area. However, the considered contacts are still "non-adhesive." This means that the three surface energies in play (two surface energies of both bodies outside the contact and the interface energy in the contact region) fulfill the criterion that the work of separation vanishes. A numerical model based on the Fast Fourier transform-assisted boundary element method is implemented and is illustrated with a few examples.

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“…The choice of integration variables and is one of many historical examples when a particular choice of parametrization made history. As it often happened in the history of science, a reduction of the problem statement to a known problem provided its complete solution "at once" [27].…”

Section: Solutions Of Axisymmetric Contact Problems According To Föppmentioning

confidence: 99%

Ludwig Föppl and Gerhard Schubert: Unknown classics of contact mechanics

Popova

Popov

2020

Z Angew Math Mech

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At the beginning of 1941, Professor Ludwig Föppl published an eight‐page paper “Elastische Beanspruchung des Erdbodens unter Fundamenten” (Elastic stress in the ground under foundations). It was further developed by his doctoral student Gerhard Schubert and led to a publication by Schubert in 1942, which contains many results obtained by researchers in contact mechanics in the subsequent decades of the 20th century and would make many of these efforts unnecessary… if it had become known. Unfortunately, both papers have been forgotten, which is not particularly surprising considering the years when they appeared (1941–1942), the language (German), as well as the location of the publisher (Munich). Yet, these are true classic works that are still very worth reading, not just as historical artifacts, but also in terms of content. It is most regrettable that this excellent work, which in itself nearly represents a small “handbook of contact mechanics”, remained essentially unknown for a long time and has only been “rediscovered” in recent years. The present paper provides a historical background and a guideline to the mentioned works by Föppl and Schubert, followed by a complete English translation of Schubert's paper.

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Note on the History of Contact Mechanics and Friction: Interplay of Electrostatics, Theory of Gravitation and Elasticity from Coulomb to Johnson-Kendall-Roberts Theory of Adhesion

Cited by 22 publications

References 9 publications

Adhesion Between Rigid Indenter and Soft Rubber Layer: Influence of Roughness

Adhesion Between Rigid Indenter and Soft Rubber Layer: Influence of Roughness

Non-adhesive Contacts With Different Surface Tension Inside and Outside the Contact Area

Ludwig Föppl and Gerhard Schubert: Unknown classics of contact mechanics

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