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Huajian Gao brilliantly solves completely the Menga Carbone Dini paradox and with impressive experiments and theory!

Mike Ciavarella's picture

Dear friends

  with an impressive paper attached with very refined and accurate experiments, an authority of the field Huajian Gao  editor of the JMPS journal on which the "incorrect" article by Menga Carbone and Dini had been published in 2018 (and by me reported as incorrect to my friend Carbone already when released in preprint), prof. Gao confirms the MCD theory to be wrong even in the "corrected" version that my friend Carbone and MCD authors resubmitted as "corrigendum" in 2019 to JMPS, as MCD corrigendum neglects the reversible component of friction (and as I again pointed out without any success as wrong last year, before MCD sent the incorrect correction). Conversely, the article I wrote together with Timoshenko medal Rob McMeeking in honor of the 80th anniversary of John Hutchinson of Harvard, world number 1 in the Stanford ranking in the mechanical field, is confirmed exact even with very detailed experiments, in which our prediction was measured for the first time.

Congratulations to Huajian Gao and his impressive team for this achievement and excellent paper!

Beyond the high-level scientific diatribe in which Carbone and I came in a friendly and scientific "contrast", certainly the DMMM department of the Politecnico di BARI reveals itself in different forms, a department of excellence! And I'm sorry for my student Daniele Dini our excellent graduate and my former student now Professor at Imperial College and director of the world's largest group in Tribology!

Regards, MC

Effect of shear stress on adhesive contact with a generalized Maugis-Dugdale cohesive zone modelB Peng, Q Li, XQ Feng, H Gao - Journal of the Mechanics and Physics of Solids, 2020The interplay between interfacial shear stress and adhesion has been an active but
controversial subject of adhesive contact mechanics, which is currently plagued by
diverse, sometimes contradicting, predictions. Recently, McMeeking et al. showed 


Mike Ciavarella's picture

Gao's paper is perhaps a little long to read, but it is all about sliding and pull-off, and it does make the point quite clearly that area reduces. Menga - Carbone - Dini 's theory initially suggested area INCREASED, but that violating first principle of thermodynamics!   The corrigendum by Menga- Carbone Dini said area stays constant, but that is only the limit when friction is entirely irreversible.   Gao after McMeeking has treated theoretically and confirmed experimentally that in the vast majority of real cases the area reduces, as all authors including KL Johnson suggested including Savkoor and Briggs already in 1977, (except from Menga's 2 papers).

Mike Ciavarella's picture

Contact with coupled adhesion and friction: Computational framework, applications, and new insights Janine C. Mergela,1,∗ , Julien Scheibertb , Roger A. Sauera,c,d,∗∗ Published in the Journal of the Mechanics and Physics of Solids 146:104194, 2021

 We then provide a detailed study of a fourth example, which is currently a matter of scientific debate in the literature: the onset of sliding of Hertzian elastomer–glass contact (Sahli et al., 2018, 2019; Menga et al., 2018, 2019; Mergel et al., 2019; Khajeh Salehani et al., 2019; Papangelo and Ciavarella, 2019; McMeeking et al., 2020; Wang et al., 2020; Lengiewicz et al., 2020). We here present new results that agree well with recent experimental (Sahli et al., 2019) and theoretical results (Chen et al., 2008; Papangelo et al., 2019). These results lead us to suggest that the shear-induced reduction of the contact area, discussed in those references, may exist even in the absence of adhesion as well as for compressible materials.

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