Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning

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Title: Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning
Authors: Mutneja, Anoop, Bhowmik, Bhanu Prasad, Karmakar, Smarajit
Publication Year: 2025
Collection: Condensed Matter
Subject Terms: Condensed Matter - Soft Condensed Matter
More Details: The mechanical yielding of amorphous solids under external loading can be broadly classified into ductile and brittle types, depending on whether their macroscopic stress response is smooth or abrupt, respectively. Recently, it has been shown that these two regimes, obtained by tuning the degree of annealing of the system, are separated by a critical point at a finite inherent disorder strength. Here, we demonstrate a transition from brittle yielding to ductile yielding by introducing quenched disorder in the form of randomly pinned particles. The well-annealed samples, which exhibit brittle yielding, undergo a transition to increasingly ductile yielding with increasing pinning concentrations while exhibiting an enhanced stress overshoot. Extensive finite size analysis is performed to demonstrate the critical nature of the transition at a finite pinning concentration and the various scaling exponents obtained are found to be in good agreement with the reported values. Finally, we show a direct correspondence with the shear band width and the critical pining concentration to establish a possible connection between inherent disorder strength and quenched disorder strength due to particle pinning.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2501.08511
Accession Number: edsarx.2501.08511
Database: arXiv
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  Data: Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning
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  Data: <searchLink fieldCode="AR" term="%22Mutneja%2C+Anoop%22">Mutneja, Anoop</searchLink><br /><searchLink fieldCode="AR" term="%22Bhowmik%2C+Bhanu+Prasad%22">Bhowmik, Bhanu Prasad</searchLink><br /><searchLink fieldCode="AR" term="%22Karmakar%2C+Smarajit%22">Karmakar, Smarajit</searchLink>
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  Data: 2025
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  Data: The mechanical yielding of amorphous solids under external loading can be broadly classified into ductile and brittle types, depending on whether their macroscopic stress response is smooth or abrupt, respectively. Recently, it has been shown that these two regimes, obtained by tuning the degree of annealing of the system, are separated by a critical point at a finite inherent disorder strength. Here, we demonstrate a transition from brittle yielding to ductile yielding by introducing quenched disorder in the form of randomly pinned particles. The well-annealed samples, which exhibit brittle yielding, undergo a transition to increasingly ductile yielding with increasing pinning concentrations while exhibiting an enhanced stress overshoot. Extensive finite size analysis is performed to demonstrate the critical nature of the transition at a finite pinning concentration and the various scaling exponents obtained are found to be in good agreement with the reported values. Finally, we show a direct correspondence with the shear band width and the critical pining concentration to establish a possible connection between inherent disorder strength and quenched disorder strength due to particle pinning.
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      – SubjectFull: Condensed Matter - Soft Condensed Matter
        Type: general
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      – TitleFull: Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning
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            NameFull: Mutneja, Anoop
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            NameFull: Bhowmik, Bhanu Prasad
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            NameFull: Karmakar, Smarajit
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              Y: 2025
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