A quasi-static algorithm that includes effects of characteristic time scales for simulating failures in brittle materials

Handle URI:
http://hdl.handle.net/10754/562728
Title:
A quasi-static algorithm that includes effects of characteristic time scales for simulating failures in brittle materials
Authors:
Liu, Jinxing; El Sayed, Tamer S.
Abstract:
When the brittle heterogeneous material is simulated via lattice models, the quasi-static failure depends on the relative magnitudes of Telem, the characteristic releasing time of the internal forces of the broken elements and Tlattice, the characteristic relaxation time of the lattice, both of which are infinitesimal compared with Tload, the characteristic loading period. The load-unload (L-U) method is used for one extreme, Telem << Tlattice, whereas the force-release (F-R) method is used for the other, Telem T lattice. For cases between the above two extremes, we develop a new algorithm by combining the L-U and the F-R trial displacement fields to construct the new trial field. As a result, our algorithm includes both L-U and F-R failure characteristics, which allows us to observe the influence of the ratio of Telem to Tlattice by adjusting their contributions in the trial displacement field. Therefore, the material dependence of the snap-back instabilities is implemented by introducing one snap-back parameter γ. Although in principle catastrophic failures can hardly be predicted accurately without knowing all microstructural information, effects of γ can be captured by numerical simulations conducted on samples with exactly the same microstructure but different γs. Such a same-specimen-based study shows how the lattice behaves along with the changing ratio of the L-U and F-R components. © 2013 The Author(s).
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division
Publisher:
SAGE Publications
Journal:
International Journal of Damage Mechanics
Issue Date:
24-Apr-2013
DOI:
10.1177/1056789513485966
Type:
Article
ISSN:
10567895
Sponsors:
This work was funded by the KAUST baseline fund.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLiu, Jinxingen
dc.contributor.authorEl Sayed, Tamer S.en
dc.date.accessioned2015-08-03T11:03:28Zen
dc.date.available2015-08-03T11:03:28Zen
dc.date.issued2013-04-24en
dc.identifier.issn10567895en
dc.identifier.doi10.1177/1056789513485966en
dc.identifier.urihttp://hdl.handle.net/10754/562728en
dc.description.abstractWhen the brittle heterogeneous material is simulated via lattice models, the quasi-static failure depends on the relative magnitudes of Telem, the characteristic releasing time of the internal forces of the broken elements and Tlattice, the characteristic relaxation time of the lattice, both of which are infinitesimal compared with Tload, the characteristic loading period. The load-unload (L-U) method is used for one extreme, Telem << Tlattice, whereas the force-release (F-R) method is used for the other, Telem T lattice. For cases between the above two extremes, we develop a new algorithm by combining the L-U and the F-R trial displacement fields to construct the new trial field. As a result, our algorithm includes both L-U and F-R failure characteristics, which allows us to observe the influence of the ratio of Telem to Tlattice by adjusting their contributions in the trial displacement field. Therefore, the material dependence of the snap-back instabilities is implemented by introducing one snap-back parameter γ. Although in principle catastrophic failures can hardly be predicted accurately without knowing all microstructural information, effects of γ can be captured by numerical simulations conducted on samples with exactly the same microstructure but different γs. Such a same-specimen-based study shows how the lattice behaves along with the changing ratio of the L-U and F-R components. © 2013 The Author(s).en
dc.description.sponsorshipThis work was funded by the KAUST baseline fund.en
dc.publisherSAGE Publicationsen
dc.subjectCharacteristic time scaleen
dc.subjectdisplacement-controlled loadingen
dc.subjectelemental failure sequenceen
dc.subjectforce-releaseen
dc.subjectlattice modelingen
dc.subjectload-unloaden
dc.subjectquasi-static failureen
dc.subjectsnap-back instabilityen
dc.titleA quasi-static algorithm that includes effects of characteristic time scales for simulating failures in brittle materialsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalInternational Journal of Damage Mechanicsen
kaust.authorLiu, Jinxingen
kaust.authorEl Sayed, Tamer S.en
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