Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/151110
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dc.contributor.authorMahajan, Shivamen_US
dc.contributor.authorChattoraj, Joyjiten_US
dc.contributor.authorCiamarra, Massimo Picaen_US
dc.date.accessioned2021-06-29T03:20:48Z-
dc.date.available2021-06-29T03:20:48Z-
dc.date.issued2021-
dc.identifier.citationMahajan, S., Chattoraj, J. & Ciamarra, M. P. (2021). Emergence of linear isotropic elasticity in amorphous and polycrystalline materials. Physical Review E, 103(5), 052606-. https://dx.doi.org/10.1103/PhysRevE.103.052606en_US
dc.identifier.issn2470-0045en_US
dc.identifier.urihttps://hdl.handle.net/10356/151110-
dc.description.abstractWe investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids via extensive numerical simulations. We show that the elastic properties are correlated over a finite length scale ξE, so that the central limit theorem dictates the emergence of continuum linear isotropic elasticity on increasing the specimen size. The stiffness matrix of systems of finite size L>ξE is obtained, adding to that predicted by linear isotropic elasticity a random one of spectral norm (L/ξE)−3/2 in three spatial dimensions. We further demonstrate that the elastic length scale corresponds to that of structural correlations, which in polycrystals reflect the typical size of the grain boundaries and length scales characterizing correlations in the stress field. We finally demonstrate that the elastic length scale affects the decay of the anisotropic long-range correlations of locally defined shear modulus and shear stress.en_US
dc.description.sponsorshipMinistry of Education (MOE)en_US
dc.description.sponsorshipNational Supercomputing Centre (NSCC) Singaporeen_US
dc.language.isoenen_US
dc.relation2019-T1-001-03en_US
dc.relation.ispartofPhysical Review Een_US
dc.rights© 2021 American Physical Society (APS). All rights reserved. This paper was published in Physical Review E and is made available with permission of American Physical Society (APS).en_US
dc.subjectScience::Physicsen_US
dc.titleEmergence of linear isotropic elasticity in amorphous and polycrystalline materialsen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.contributor.researchInstitute of High Performance Computing, A*STARen_US
dc.identifier.doi10.1103/PhysRevE.103.052606-
dc.description.versionPublished versionen_US
dc.identifier.scopus2-s2.0-85105958325-
dc.identifier.issue5en_US
dc.identifier.volume103en_US
dc.identifier.spage052606en_US
dc.subject.keywordsElasticityen_US
dc.subject.keywordsGlassesen_US
dc.description.acknowledgementWe acknowledge support from the Singapore Ministry of Education through the Academic Research Fund Tier 1 (2019-T1-001-03) and are grateful to the National Supercomputing Centre (NSCC) of Singapore for providing the computational resources.en_US
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