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Article: On the distribution of elastic forces in disordered structures and materials. II A statistical mechanics theory

TitleOn the distribution of elastic forces in disordered structures and materials. II A statistical mechanics theory
Authors
KeywordsCellular Materials
Disordered Materials
First-Yield Criteria
Granular Materials
Linear Elasticity
Statistical Physics
Issue Date2005
PublisherThe Royal Society. The Journal's web site is located at http://www.pubs.royalsoc.ac.uk/index.cfm?page=1086
Citation
Proceedings Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2005, v. 461 n. 2057, p. 1423-1446 How to Cite?
AbstractBased on computer simulated results in prototypical examples of granular packings and random open-cell foams in part I of the present study, a theoretical framework based on statistical physics concepts is developed in this work to describe the internal force distributions in random materials under external loadings. The theory involves the use of an entropy functional to represent the effect of structural randomness on the force distribution, and this is assumed to remain constant during energy minimization in the search of equilibrium states. The theory accurately predicts the form of the force distributions obtained by computer simulations up to an unknown parameter, which is analogous to the temperature in a thermal system. The predicted internal force distributions can be used to construct failure surfaces based on a first-yield criterion. © 2005 The Royal Society.
Persistent Identifierhttp://hdl.handle.net/10722/156789
ISSN
2015 Impact Factor: 1.935
2015 SCImago Journal Rankings: 0.894
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorNgan, AHWen_US
dc.date.accessioned2012-08-08T08:43:59Z-
dc.date.available2012-08-08T08:43:59Z-
dc.date.issued2005en_US
dc.identifier.citationProceedings Of The Royal Society A: Mathematical, Physical And Engineering Sciences, 2005, v. 461 n. 2057, p. 1423-1446en_US
dc.identifier.issn1364-5021en_US
dc.identifier.urihttp://hdl.handle.net/10722/156789-
dc.description.abstractBased on computer simulated results in prototypical examples of granular packings and random open-cell foams in part I of the present study, a theoretical framework based on statistical physics concepts is developed in this work to describe the internal force distributions in random materials under external loadings. The theory involves the use of an entropy functional to represent the effect of structural randomness on the force distribution, and this is assumed to remain constant during energy minimization in the search of equilibrium states. The theory accurately predicts the form of the force distributions obtained by computer simulations up to an unknown parameter, which is analogous to the temperature in a thermal system. The predicted internal force distributions can be used to construct failure surfaces based on a first-yield criterion. © 2005 The Royal Society.en_US
dc.languageengen_US
dc.publisherThe Royal Society. The Journal's web site is located at http://www.pubs.royalsoc.ac.uk/index.cfm?page=1086en_US
dc.relation.ispartofProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciencesen_US
dc.subjectCellular Materialsen_US
dc.subjectDisordered Materialsen_US
dc.subjectFirst-Yield Criteriaen_US
dc.subjectGranular Materialsen_US
dc.subjectLinear Elasticityen_US
dc.subjectStatistical Physicsen_US
dc.titleOn the distribution of elastic forces in disordered structures and materials. II A statistical mechanics theoryen_US
dc.typeArticleen_US
dc.identifier.emailNgan, AHW:hwngan@hkucc.hku.hken_US
dc.identifier.authorityNgan, AHW=rp00225en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1098/rspa.2004.1417en_US
dc.identifier.scopuseid_2-s2.0-26944447885en_US
dc.identifier.hkuros98214-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-26944447885&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume461en_US
dc.identifier.issue2057en_US
dc.identifier.spage1423en_US
dc.identifier.epage1446en_US
dc.identifier.isiWOS:000229782800009-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridNgan, AHW=7006827202en_US
dc.identifier.citeulike8423348-

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