Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning
Title: | Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning |
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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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Items | – Name: Title Label: Title Group: Ti Data: Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning – Name: Author Label: Authors Group: Au 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> – Name: DatePubCY Label: Publication Year Group: Date Data: 2025 – Name: Subset Label: Collection Group: HoldingsInfo Data: Condensed Matter – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Condensed+Matter+-+Soft+Condensed+Matter%22">Condensed Matter - Soft Condensed Matter</searchLink> – Name: Abstract Label: Description Group: Ab 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. – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2501.08511" linkWindow="_blank">http://arxiv.org/abs/2501.08511</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.2501.08511 |
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RecordInfo | BibRecord: BibEntity: Subjects: – SubjectFull: Condensed Matter - Soft Condensed Matter Type: general Titles: – TitleFull: Finite Disorder Critical Point in the Brittle-to-Ductile Transition of Amorphous Solids in the Presence of Particle Pinning Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mutneja, Anoop – PersonEntity: Name: NameFull: Bhowmik, Bhanu Prasad – PersonEntity: Name: NameFull: Karmakar, Smarajit IsPartOfRelationships: – BibEntity: Dates: – D: 14 M: 01 Type: published Y: 2025 |
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