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March 26, 2026Mechanics Of Soft Materials0 citationsOpen Access

Critical remarks on “viscous potentials” and modeling of viscoelastic solids

KVK. Y. Volokh

Key Points

  • The paper critiques the formulation of viscoelasticity using viscous potentials, highlighting its limitations.
  • Analysis of the viscoelasticity theory proposed by Melly and Czekanski.
  • Review of related literature on viscous potentials and their applications.
  • Identification of intrinsic flaws related to strain behavior.
  • Viscous potentials fail to accommodate strain jumps, leading to theoretical inconsistencies.
  • The inability to manage strain jumps results in unphysical infinite stresses, which are unacceptable.

Abstract

Abstract In the recent paper (Melly and Czekanski 2026), a viscoelasticity theory was formulated in terms of “viscous potentials.” Such formulation started proliferating in scientific literature (e.g. Pioletti et al. 1998, Ghahfarokhi et al. 2020, Upadhyay et al. 2020). Seemingly simple, it has an intrinsic flaw – the inability to accommodate strain jumps. The jumps lead to unphysical infinities in stresses, which is unacceptable. We emphasize this issue in the present note.

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Cite This Study

K. Y. Volokh (2026) studied this question.

synapsesocial.com/papers/69c4cd5afdc3bde448919943https://doi.org/10.1007/s42558-026-00072-3
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