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Stochastic approach to plasticity and yield in amorphous solids

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dc.contributor.author Hentschel, H. G. E.
dc.contributor.author Jaiswal, Prabhat K.
dc.contributor.author Procaccia, Itamar
dc.contributor.author Sastry, Srikanth
dc.date.accessioned 2017-01-04T09:40:20Z
dc.date.available 2017-01-04T09:40:20Z
dc.date.issued 2015
dc.identifier.citation Physical Review E en_US
dc.identifier.citation 92 en_US
dc.identifier.citation 6 en_US
dc.identifier.citation Hentschel, H. G. E.; Jaiswal, P. K.; Procaccia, I.; Sastry, S., Stochastic approach to plasticity and yield in amorphous solids. Physical Review E 2015, 92 (6), 8. en_US
dc.identifier.issn 1539-3755
dc.identifier.uri https://libjncir.jncasr.ac.in/xmlui/10572/2041
dc.description Restricted access en_US
dc.description.abstract We focus on the probability distribution function (PDF) P(Delta gamma; gamma) where Delta gamma are the measured strain intervals between plastic events in a athermal strained amorphous solids, and. measures the accumulated strain. The tail of this distribution as Delta gamma -> 0 (in the thermodynamic limit) scales like Delta gamma(eta). The exponent. is related via scaling relations to the tail of the PDF of the eigenvalues of the plastic modes of the Hessian matrix P(lambda) which scales like lambda(theta), eta = (theta - 1)/2. The numerical values of eta or theta can be determined easily in the unstrained material and in the yielded state of plastic flow. Special care is called for in the determination of these exponents between these states as gamma increases. Determining the gamma dependence of the PDF P(Delta gamma; gamma) can shed important light on plasticity and yield. We conclude that the PDF's of both Delta gamma and lambda are not continuous functions of gamma. In slowly quenched amorphous solids they undergo two discontinuous transitions, first at gamma = 0(+) and then at the yield point gamma = gamma(Y) to plastic flow. In quickly quenched amorphous solids the second transition is smeared out due to the nonexisting stress peak before yield. The nature of these transitions and scaling relations with the system size dependence of <Delta gamma > are discussed. en_US
dc.description.uri 1550-2376 en_US
dc.description.uri http://dx.doi.org/10.1103/PhysRevE.92.062302 en_US
dc.language.iso English en_US
dc.publisher American Physical Society en_US
dc.rights ?American Physical Society, 2015 en_US
dc.subject Fluids & Plasmas Physics en_US
dc.subject Mathematical Physics en_US
dc.subject Glass-Transition en_US
dc.title Stochastic approach to plasticity and yield in amorphous solids en_US
dc.type Article en_US


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