On a Method for Multiscale Solid Mechanics

dc.creatorAcharya, Amit
dc.date2002-05-20
dc.date.accessioned2026-07-07T02:45:32Z
dc.date.available2026-07-07T02:45:32Z
dc.descriptionGiven a fine-scale physical theory characterized by an evolutionary system of equations and a set of quantities, defined from the variables of the fine theory, that serve as a coarse representation of the fine scale phenomena, a systematic method for developing an evolutionary set of equations for the coarse quantities is presented. This set may be considered as governing equations for a coarse theory corresponding to the fine one since the solutions of the coarse theory define a small class of solutions to the fine theory. The method for generating the coarse theory is technically straightforward. The conditions required for the procedure to succeed are understood qualitatively, but a rigorous result for the intended applications, is not known - hence the method is formal. The method is illustrated on a few model problems.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0205403
dc.identifierhttp://arxiv.org/abs/cond-mat/0205403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19331
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleOn a Method for Multiscale Solid Mechanics
dc.typetext

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