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Condensed Matter > Soft Condensed Matter

arXiv:2108.13124 (cond-mat)
[Submitted on 30 Aug 2021 (v1), last revised 13 Apr 2022 (this version, v3)]

Title:Non-linear elasticity, yielding and entropy in amorphous solids

Authors:Deng Pan, Teng Ji, Matteo Baggioli, Li Li, Yuliang Jin
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Abstract:The holographic duality has proven successful in linking seemingly unrelated problems in this http URL, intriguing correspondences between the physics of soft matter and gravity are emerging,including strong similarities between the rheology of amorphous solids, effective field theories for elasticity and the physics of black holes. However, direct comparisons between theoretical predictions and experimental/simulation observations remain limited. Here, we study the effects of non-linear elasticity on the mechanical and thermodynamic properties of amorphous materials responding to shear, using effective field and gravitational theories. The predicted correlations among the non-linear elastic exponent, the yielding strain/stress and the entropy change due to shear are supported qualitatively by simulations of granular matter models. Our approach opens a path towards understanding complex mechanical responses of amorphous solids, such as mixed effects of shear softening and shear hardening, and offers the possibility to study the rheology of solid states and black holes in a unified framework.
Comments: 24 pages, 21 figures
Subjects: Soft Condensed Matter (cond-mat.soft); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2108.13124 [cond-mat.soft]
  (or arXiv:2108.13124v3 [cond-mat.soft] for this version)
  https://doi.org/10.48550/arXiv.2108.13124
Journal reference: SCIENCE ADVANCES 1 Jun 2022 Vol 8 , Issue 22
Related DOI: https://doi.org/10.1126/sciadv.abm8028

Submission history

From: Deng Pan [view email]
[v1] Mon, 30 Aug 2021 11:26:46 UTC (2,996 KB)
[v2] Tue, 31 Aug 2021 05:42:09 UTC (1,379 KB)
[v3] Wed, 13 Apr 2022 04:33:40 UTC (1,437 KB)
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