A Precis of Two-Scale Approaches for Fracture in Porous Media
| Autor: | de R René Borst, Julien Réthoré, Marie-Angèle Abellan |
|---|---|
| Přispěvatelé: | Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] (LaMCoS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Materials science
Discretization Scale (ratio) Micromechanics 02 engineering and technology Mechanics multiscale analysis [SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] cohesive cracks 01 natural sciences Finite element method 010101 applied mathematics multiphase media Nonlinear system 020303 mechanical engineering & transports Classical mechanics porous media 0203 mechanical engineering Flow (mathematics) Macroscopic scale fracture 0101 mathematics Porous medium partition-of-unity approach |
| Zdroj: | Lecture Notes on Composite Materials Lecture Notes on Composite Materials, Springer, pp.149-171, 2008, ⟨10.1007/978-1-4020-8772-1_5⟩ Lecture Notes on Composite Materials, 149-171 STARTPAGE=149;ENDPAGE=171;TITLE=Lecture Notes on Composite Materials Solid Mechanics And Its Applications ISBN: 9781402087714 |
| ISSN: | 0925-0042 |
| Popis: | A derivation is given of two-scale models that are able to describe deformation and flow in a fluid-saturated and progressively fracturing porous medium. From the micromechanics of the flow in the cavity, identities are derived that couple the local momentum and the mass balances to the governing equations for a fluid-saturated porous medium, which are assumed to hold on the macroscopic scale. By exploiting the partition-of-unity property of the finite element shape functions, the position and direction of the fracture is independent from the underlying discretisation. The finite element equations are derived for this two-scale approach and integrated over time. The resulting discrete equations are nonlinear due to the cohesive crack model and the nonlinearity of the coupling terms. A consistent linearisation is given for use within a Newton-Raphson iterative procedure. Finally, examples are given to show the versatility and the efficiency of the approach. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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