Time-dependent damage evolution and failure in materials. II. Simulations

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dc.contributorVirginia Techen
dc.contributor.authorCurtin, William A. Jr.en
dc.contributor.authorPamel, M.en
dc.contributor.authorScher, H.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-04-23en
dc.date.accessioned2014-05-07T15:37:08Zen
dc.date.available2014-05-07T15:37:08Zen
dc.date.issued1997-05-01en
dc.description.abstractA two-dimensional triangular spring network model is used to investigate the time-dependent damage evolution and failure of model materials in which the damage formation is a nucleated event. The probability of damage formation r(i)(t) at site i at time t is taken to be proportional to the local stress at site i raised to a power: r(i)(t) = A sigma(i)(t)(eta). As damage evolves in the material, the stress state becomes heterogeneous and drives preferential damage evolution in regions of high stress. As predicted by an analytical model and observed in previous electrical fuse network simulations, there is a transition in the failure behavior at eta = 2: for eta less than or equal to 2, the failure time and damage density are independent of the system size; for eta > 2, the failure time and damage decrease with increasing time and failure occurs by the formation of a finite Critical damage region which rapidly propagates across the remainder of the material. The stress distribution prior to failure exhibits no abrupt changes or scalings that indicate imminent failure. The scalings of the failure time and the failure time distribution are investigated, and compared with analytic predictions. The failure time scales as a power law in In N-T, where N-T is the system size, but the exponent is not the predicted value of 1 - eta/2; this is attributed to a difference in the stress concentration factors (scf) between the discrete lattice and a continuum model. Using the scf values for the lattice lead to predicted scalings consistent with the simulations. Predicted absolute failure times versus size are generally in good agreement with simulation results at larger eta values. The coefficient of variation of the failure time distribution is observed to be nearly constant, in slight contrast to the predicted scaling of (InNT)(-1). Overall, the simulation results quantitatively and qualitatively validate many of the critical predictions of the analytic model.en
dc.description.sponsorshipNational Science Foundation for support of this work through the Division of Materials Research, Material Theory, Grant No. DMR-9420831en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationCurtin, W. A.; Pamel, M.; Scher, H., "time-dependent damage evolution and failure in materials. II. Simulations," Phys. Rev. B 55, 12051 DOI: http://dx.doi.org/10.1103/PhysRevB.55.12051en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.55.12051en
dc.identifier.issn0163-1829en
dc.identifier.urihttp://hdl.handle.net/10919/47898en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.55.12051en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAnalytic modelen
dc.subjectProbability-distributionsen
dc.subjectComposite materialsen
dc.subjectMolecular-weighten
dc.subjectBreakdownen
dc.subjectFractureen
dc.subjectStrengthen
dc.subjectSystemsen
dc.subjectPhysicsen
dc.subjectCondensed matteren
dc.titleTime-dependent damage evolution and failure in materials. II. Simulationsen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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