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dc.contributor.authorSargado, Juan Michael
dc.contributor.authorKeilegavlen, Eirik
dc.contributor.authorBerre, Inga
dc.contributor.authorNordbotten, Jan Martin
dc.PublishedSargado JM, Keilegavlen E, Berre I, Nordbotten JM. High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Journal of the mechanics and physics of solids. 2018;111:458-489eng
dc.description.abstractPhase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In the phase-field framework, the surface energy associated with crack formation is calculated by evaluating a functional defined in terms of a scalar order parameter and its gradients. These in turn describe the fractures in a diffuse sense following a prescribed regularization length scale. Imposing stationarity of the total energy leads to a coupled system of partial differential equations that enforce stress equilibrium and govern phase-field evolution. These equations are coupled through an energy degradation function that models the loss of stiffness in the bulk material as it undergoes damage. In the present work, we introduce a new parametric family of degradation functions aimed at increasing the accuracy of phase-field models in predicting critical loads associated with crack nucleation as well as the propagation of existing fractures. An additional goal is the preservation of linear elastic response in the bulk material prior to fracture. Through the analysis of several numerical examples, we demonstrate the superiority of the proposed family of functions to the classical quadratic degradation function that is used most often in the literature.en_US
dc.rightsAttribution CC BYeng
dc.subjectDegradation functioneng
dc.titleHigh-accuracy phase-field models for brittle fracture based on a new family of degradation functionsen_US
dc.typePeer reviewed
dc.typeJournal article
dc.rights.holderCopyright 2017 The Author(s)en_US
dc.source.journalJournal of the mechanics and physics of solids
dc.relation.projectNorges forskningsråd: 228832

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