Soft wetting: Models based on energy dissipation or on force balance are equivalent

Stefan Karpitschka (Corresponding Author), Siddhartha Das, Mathijs van Gorcum, Hugo Perrin, Bruno Andreotti, Jacco H. Snoeijer

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2 Citations (Scopus)
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Abstract

In Newtonian mechanics, an overdamped system at steady state is governed by a local balance of mechanical stress but also obeys a global balance between injected and dissipated energy. In the classical literature of purely viscous drop spreading, apparent differences in “dissipation” and “force” approaches have led to unnecessary debates, which ultimately could be traced back to different levels of mathematical approximation (1). In the context of wetting on a soft solid, Zhao et al. (2) interpret their experiments by a model based on viscoelastic dissipation inside the substrate. It is claimed that this global dissipation model is fundamentally different from the local mechanical model presented by Karpitschka et al. (3). The purpose of this letter is to demonstrate that (i) the models in refs. 2 and 3 are in fact strictly equivalent … ↵1To whom correspondence should be addressed. Email: stefan.karpitschka{at}ds.mpg.de.
Original languageEnglish
Pages (from-to)E7233
JournalProceedings of the National Academy of Sciences of the United States of America
Volume115
Issue number31
DOIs
Publication statusPublished - 31 Jul 2018

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energy dissipation
wetting
dissipation
mechanics
substrate
energy
experiment

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Karpitschka, Stefan ; Das, Siddhartha ; van Gorcum, Mathijs ; Perrin, Hugo ; Andreotti, Bruno ; Snoeijer, Jacco H. / Soft wetting : Models based on energy dissipation or on force balance are equivalent. In: Proceedings of the National Academy of Sciences of the United States of America. 2018 ; Vol. 115, No. 31. pp. E7233.
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abstract = "In Newtonian mechanics, an overdamped system at steady state is governed by a local balance of mechanical stress but also obeys a global balance between injected and dissipated energy. In the classical literature of purely viscous drop spreading, apparent differences in “dissipation” and “force” approaches have led to unnecessary debates, which ultimately could be traced back to different levels of mathematical approximation (1). In the context of wetting on a soft solid, Zhao et al. (2) interpret their experiments by a model based on viscoelastic dissipation inside the substrate. It is claimed that this global dissipation model is fundamentally different from the local mechanical model presented by Karpitschka et al. (3). The purpose of this letter is to demonstrate that (i) the models in refs. 2 and 3 are in fact strictly equivalent … ↵1To whom correspondence should be addressed. Email: stefan.karpitschka{at}ds.mpg.de.",
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Soft wetting : Models based on energy dissipation or on force balance are equivalent. / Karpitschka, Stefan (Corresponding Author); Das, Siddhartha; van Gorcum, Mathijs; Perrin, Hugo; Andreotti, Bruno; Snoeijer, Jacco H.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 115, No. 31, 31.07.2018, p. E7233.

Research output: Contribution to journalLetterAcademicpeer-review

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