Time-dependent damage evolution and failure in materials. I. Theory

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dc.contributorVirginia Techen
dc.contributor.authorCurtin, William A. Jr.en
dc.contributor.authorScher, H.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.contributor.departmentMaterials Science and Engineering (MSE)en
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.abstractDamage evolution and time-to-failure are investigated for a model material in which damage formation is a stochastic event. Specifically, the probability of failure at any site at time t is proportional to sigma(i)(t)(eta), where sigma(i)(t) is the local stress at site i at time t and differs from the applied stress because of the stress redistribution from prior damage. An analytic model of the damage process predicts two regimes of failure: percolationlike failure for eta less than or equal to 2 and ''avalanche'' failure for eta > 2. In the percolationlike regime, failure occurs by gradual global accumulation of damage culminating in a connected cluster which spans the system. In the avalanche regime, failure occurs by rapid growth of a single crack after a transient period during which the critical crack developed. The scalings of the transient period, the subsequent crack dynamics, and the time-dependent probability distribution for failure are determined analytically as functions of the system size and the exponent eta. Specific predictions are that failure is more abrupt with increasing eta, failure times scale inversely with a power of the logarithm of system size, and the distribution of failure times is a double exponential and broadens with increasing eta, so that the failure becomes less predictable as it is becoming more abrupt. The conditions for the transition to the rapid growth regime are identified, offering the possibility of early detection of impending failure. In a companion paper, numerical simulations of this failure process in two-dimensional lattices are compared in detail to the analytical predictions.en
dc.description.sponsorshipNational Science Foundation, Division of Materials Research, Materials Theory Grant No. DMR-9420831en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationCurtin, W. A.; Scher, H., "Time-dependent damage evolution and failure in materials. I. Theory," Phys. Rev. B 55, 12038 DOI: http://dx.doi.org/10.1103/PhysRevB.55.12038en
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.55.12038en
dc.identifier.issn1098-0121en
dc.identifier.urihttp://hdl.handle.net/10919/47897en
dc.identifier.urlhttp://journals.aps.org/prb/abstract/10.1103/PhysRevB.55.12038en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSiliconized silicon-carbideen
dc.subjectPolycrystalline aluminaen
dc.subjectComposite materialsen
dc.subjectFibrous compositeen
dc.subjectBrittle solidsen
dc.subjectCreep damageen
dc.subjectBreakdownen
dc.subjectStrengthen
dc.subjectModelen
dc.subjectDistributionen
dc.subjectPhysicsen
dc.subjectCondensed matteren
dc.titleTime-dependent damage evolution and failure in materials. I. Theoryen
dc.title.serialPhysical Review Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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