Recent advances in non-local continuum models, notably peridynamics, have spurred
a paradigm shift in solid mechanics simulation by allowing accurate mathematical representation
of singularities and discontinuities. This doctoral work attempts to extend
the use of this theory to a community more familiar with local continuum models. In
this communication, a coupling strategy - the morphing method -, which bridges local
and non-local models, is presented. This thesis employs the morphing method to ease
use of the non-local model to represent problems with failure-induced discontinuities.
First, we give a quick review of strategies for the simulation of discrete degradation,
and suggest a hybrid local/non-local alternative. Second, we present the technical
concepts involved in the morphing method and evaluate the quality of the coupling.
Third, we develop a numerical tool for the simulation of the hybrid model for fracture
and damage and demonstrate its capabilities on numerical model examples
| Identifer | oai:union.ndltd.org:kaust.edu.sa/oai:repository.kaust.edu.sa:10754/312218 |
| Date | 01 1900 |
| Creators | Azdoud, Yan |
| Contributors | Lubineau, Gilles, Physical Science and Engineering (PSE) Division, Askari, Abe, Camanho, Pedro, Mai, Paul Martin, Prudhomme, Serge, Samtaney, Ravi, Zohdi, Tarek |
| Source Sets | King Abdullah University of Science and Technology |
| Language | English |
| Detected Language | English |
| Type | Dissertation |
| Rights | 2015-02-05, At the time of archiving, the student author of this dissertation opted to temporarily restrict access to it. The full text of this dissertation became available to the public after the expiration of the embargo on 2015-02-05. |
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