Concurrent development of local and non-local damage with the Thick Level Set approach: Implementation aspects and application to quasi-brittle failure
| Autor: | Nicolas Moës, Nicolas Chevaugeon, Kévin Moreau, Alexis Salzman |
|---|---|
| Přispěvatelé: | École Centrale de Nantes (ECN), Institut de Recherche en Génie Civil et Mécanique (GeM), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), European Project |
| Rok vydání: | 2017 |
| Předmět: |
Discretization
Computation Distributed computing Computational Mechanics General Physics and Astronomy [SPI.MECA.MSMECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Materials and structures in mechanics [physics.class-ph] 02 engineering and technology Space (mathematics) Topology 01 natural sciences Quantum nonlocality Development (topology) Level set 0203 mechanical engineering TLS Thick Level Set 0101 mathematics Mathematics Extended finite element method XFEM Mechanical Engineering Computer Science Applications 010101 applied mathematics Damage Fracture 020303 mechanical engineering & transports Mechanics of Materials Fracture (geology) |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering Computer Methods in Applied Mechanics and Engineering, 2017, 327, pp.306-326. ⟨10.1016/j.cma.2017.08.045⟩ |
| ISSN: | 0045-7825 |
| Popis: | International audience; The present paper focuses on the discretization and implementation of the Thick Level Set (TLS) approach for quasi-brittle failure when dealing with both local and non-local development of damage. The TLS damage model introduces a length scale and nonlocality in the Fracture Process Zone (FPZ) and it handles the continuous to discontinuous failure transition. The added nonlocality is limited to the FPZ and therefore the model is local away from the FPZ or before its emergence. It leads to concurrent development of local and nonlocal damage during simulations. This paper presents a space-time discretization that handles concurrent computations in a unified manner. It is based on an explicit time discretization written as a predictor-corrector scheme and a space discretization that uses specific approximation functions (modes) that embed nonlocality. It also uses an alternative implementation of the eXtended Finite Element Method (X-FEM) enrichment used in the TLS which is based on virtual nodes. |
| Databáze: | OpenAIRE |
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