On the Load-Unload (L-U) and Force-Release (F-R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models

Handle URI:
http://hdl.handle.net/10754/594119
Title:
On the Load-Unload (L-U) and Force-Release (F-R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models
Authors:
Liu, Jinxing; El Sayed, Tamer S.
Abstract:
General summaries on the load-unload and force-release methods indicate that the two methods are efficient for different-charactered quasi-static failures; therefore, it is important to choose the right one for different applications. Then we take, as an example, the case where the release of the ruptured element's internal force is infinitely slower than the relaxation of the lattice system and analyze why the force-release method works better than the load-unload method in this particular case. Different trial deformation fields are used by them to track the next equilibrium state. Force-release method ensures that the deformation throughout the whole failure process coincides exactly with the controlled-displacement boundary conditions and we utilize the 'left modulus' concept to prove that this method satisfies the energetic evolution in the force-displacement diagram; both of which are not satisfied by the load-unload method. To illustrate that the force-release method is not just another form of the load-unload method, a tensile test on a specifically designed system is analyzed to further compare the above two methods, showing that their predicted sequences of elemental failures can be different. In closing, we simulate the uniaxial tensile test on a beam lattice system by the load-unload and force-release methods and exploit the details of the resulting fracture processes. © The Author(s), 2011.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division
Citation:
Liu JX, El Sayed T (2011) On the Load-Unload (L-U) and Force-Release (F-R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models. International Journal of Damage Mechanics 21: 960–988. Available: http://dx.doi.org/10.1177/1056789511424585.
Publisher:
SAGE Publications
Journal:
International Journal of Damage Mechanics
Issue Date:
11-Nov-2011
DOI:
10.1177/1056789511424585
Type:
Article
ISSN:
1056-7895; 1530-7921
Sponsors:
This work was fully funded by the KAUST baseline fund. The authors thank the KAUST Research Computing team for providing their technical support. The authors show their great appreciation to the reviewers, especially the one who indicated the analysis from the viewpoint of characteristic time scales in his/her reviewing comments, which led to the improvement of this article.
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.accessioned2016-01-19T13:22:02Zen
dc.date.available2016-01-19T13:22:02Zen
dc.date.issued2011-11-11en
dc.identifier.citationLiu JX, El Sayed T (2011) On the Load-Unload (L-U) and Force-Release (F-R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models. International Journal of Damage Mechanics 21: 960–988. Available: http://dx.doi.org/10.1177/1056789511424585.en
dc.identifier.issn1056-7895en
dc.identifier.issn1530-7921en
dc.identifier.doi10.1177/1056789511424585en
dc.identifier.urihttp://hdl.handle.net/10754/594119en
dc.description.abstractGeneral summaries on the load-unload and force-release methods indicate that the two methods are efficient for different-charactered quasi-static failures; therefore, it is important to choose the right one for different applications. Then we take, as an example, the case where the release of the ruptured element's internal force is infinitely slower than the relaxation of the lattice system and analyze why the force-release method works better than the load-unload method in this particular case. Different trial deformation fields are used by them to track the next equilibrium state. Force-release method ensures that the deformation throughout the whole failure process coincides exactly with the controlled-displacement boundary conditions and we utilize the 'left modulus' concept to prove that this method satisfies the energetic evolution in the force-displacement diagram; both of which are not satisfied by the load-unload method. To illustrate that the force-release method is not just another form of the load-unload method, a tensile test on a specifically designed system is analyzed to further compare the above two methods, showing that their predicted sequences of elemental failures can be different. In closing, we simulate the uniaxial tensile test on a beam lattice system by the load-unload and force-release methods and exploit the details of the resulting fracture processes. © The Author(s), 2011.en
dc.description.sponsorshipThis work was fully funded by the KAUST baseline fund. The authors thank the KAUST Research Computing team for providing their technical support. The authors show their great appreciation to the reviewers, especially the one who indicated the analysis from the viewpoint of characteristic time scales in his/her reviewing comments, which led to the improvement of this article.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.titleOn the Load-Unload (L-U) and Force-Release (F-R) Algorithms for Simulating Brittle Fracture Processes via Lattice Modelsen
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
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.