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On the application of fracture mechanics mixed-mode models of sliding with friction and adhesion --- the Menga, Carbone & Dini paradox

Mike Ciavarella's picture

I attach a PREPRINT of a paper on the Menga, Carbone & Dini paradox (published in JMPS last year, available at https://arxiv.org/pdf/1710.06506.pdf), that is on the application of thermodynamics to mixed mode fracture mechanics models of contacts with friction and adhesion, and an apparent paradox which emerges from this treatment.  Comments welcome.   

 I also attach a simpler direct energetic formulation (see menga-maugis.pdf attached) which has completely different, and more reasonable, results.  What goes wrong with the Legendre transform formulation?

 See also https://www.tribonet.org/should-the-contact-area-really-increase-due-to-sliding-and-why-this-is-never-observed/  

 

I also list 9 paradoxed which emerge from the theory in my humble opinion in the attached file.

 Keywords: Adhesion, JKR model, friction, soft matter, fracture mechanics, mixed mode, cohesive models.

AttachmentSize
PDF icon menga-view.pdf117.82 KB
PDF icon 1908.04490.pdf139 KB

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Mike Ciavarella's picture

Please find attached in the main post some further notes about the paradox, with possible reasons why the paradox emerged.

Mike Ciavarella's picture

 

 I also attach a simpler direct energetic formulation (see menga-maugis.pdf attached) which has completely different, and reasonable, results, in line with the classical theories and the experiments.  What goes wrong with the Legendre transform formulation?

Mike Ciavarella's picture

https://arxiv.org/pdf/1908.04490.pdf 

We offer a possible solution to the paradox 

Comments welcome, as double checking is mandatory on such completely opposite conclusions to avoid embarrassing situations for both authors and editors...

Mike Ciavarella's picture

Perhaps after my suggestion that the corrigendum itself is wrong, the corrigendum was withdrawn

https://www.sciencedirect.com/science/article/pii/S002250961930860

MC

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