Dynamic response, viscoelastic relaxation and boundary deformation in granular photoelasticity.

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Title: Dynamic response, viscoelastic relaxation and boundary deformation in granular photoelasticity.
Authors: McMillan, Benjamin1 (AUTHOR) benjamin.mcmillan16@alumni.imperial.ac.uk, Dalziel, Stuart B.1 (AUTHOR), Vriend, Nathalie M.2 (AUTHOR)
Source: Granular Matter. Apr2026, Vol. 28 Issue 2, p1-23. 23p.
Subjects: Photoelasticity, Viscoelasticity, Stress concentration, Deformations (Mechanics), Transient analysis, Granular flow, Polymers, Collisions (Physics)
Abstract: Photoelasticity has become a widely used tool for quantifying stresses in quasi-two-dimensional experimental granular flows, providing valuable insight into the behaviour of inter-particle forces, typically for quasi-static flow geometries. Here we analyse high-inertial photoelastic collisions, and investigate the particle-scale dynamic response, relaxation due to viscoelasticity, and boundary deformation. Through high-speed experiments using impulsive loading of particles, we find that standard photoelastic theory fails under high-inertial conditions. In this work, we extend the photoelastic methodology to accurately capture forces acting on polymeric particles experiencing rapid changes in momentum. Our experiments highlight the influence of viscoelastic properties of our polymer particles, and we identify two key timescales to describe the viscoelastic relaxation. Importantly, we report the existence of fossil photoelasticity, showing that the photoelastic signal at a given moment in time may not accurately depict the instantaneous forces acting on a particle. In this work, we introduce a modified theoretical framework that accounts for particle deformation and so allows greater insight into the inter-particle contact mechanics of experimental granular systems. Our distributed-force approach to deriving photoelastic fringe patterns enables stress distributions along deformed particle boundaries, rather than through infinitesimal areas, to be extracted from experimental images. [ABSTRACT FROM AUTHOR]
Copyright of Granular Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Dynamic response, viscoelastic relaxation and boundary deformation in granular photoelasticity.
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  Data: <searchLink fieldCode="DE" term="%22Photoelasticity%22">Photoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+concentration%22">Stress concentration</searchLink><br /><searchLink fieldCode="DE" term="%22Deformations+%28Mechanics%29%22">Deformations (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Transient+analysis%22">Transient analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Granular+flow%22">Granular flow</searchLink><br /><searchLink fieldCode="DE" term="%22Polymers%22">Polymers</searchLink><br /><searchLink fieldCode="DE" term="%22Collisions+%28Physics%29%22">Collisions (Physics)</searchLink>
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  Data: Photoelasticity has become a widely used tool for quantifying stresses in quasi-two-dimensional experimental granular flows, providing valuable insight into the behaviour of inter-particle forces, typically for quasi-static flow geometries. Here we analyse high-inertial photoelastic collisions, and investigate the particle-scale dynamic response, relaxation due to viscoelasticity, and boundary deformation. Through high-speed experiments using impulsive loading of particles, we find that standard photoelastic theory fails under high-inertial conditions. In this work, we extend the photoelastic methodology to accurately capture forces acting on polymeric particles experiencing rapid changes in momentum. Our experiments highlight the influence of viscoelastic properties of our polymer particles, and we identify two key timescales to describe the viscoelastic relaxation. Importantly, we report the existence of fossil photoelasticity, showing that the photoelastic signal at a given moment in time may not accurately depict the instantaneous forces acting on a particle. In this work, we introduce a modified theoretical framework that accounts for particle deformation and so allows greater insight into the inter-particle contact mechanics of experimental granular systems. Our distributed-force approach to deriving photoelastic fringe patterns enables stress distributions along deformed particle boundaries, rather than through infinitesimal areas, to be extracted from experimental images. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Granular Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10035-026-01619-x
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      – Code: eng
        Text: English
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      – SubjectFull: Photoelasticity
        Type: general
      – SubjectFull: Viscoelasticity
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      – SubjectFull: Stress concentration
        Type: general
      – SubjectFull: Deformations (Mechanics)
        Type: general
      – SubjectFull: Transient analysis
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      – SubjectFull: Granular flow
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      – SubjectFull: Polymers
        Type: general
      – SubjectFull: Collisions (Physics)
        Type: general
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      – TitleFull: Dynamic response, viscoelastic relaxation and boundary deformation in granular photoelasticity.
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            NameFull: McMillan, Benjamin
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            NameFull: Dalziel, Stuart B.
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            NameFull: Vriend, Nathalie M.
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              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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