A two-scale approach for propagating cracks in a fluid-saturated porous material

F. Irzal, J.J.C. Remmers, J.M. Huyghe, R. de Borst, K. Ito

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2 Citations (Scopus)
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Abstract

An extension to a finite strain framework of a two-scale numerical model for propagating crack in porous material is proposed to model the fracture in intervertebral discs. In the model, a crack is described as a propagating cohesive zone by exploiting the partition-of-unity property of finite element shape functions. At the micro-scale, the flow in the cohesive crack is modelled as viscous fluid using Stokes' equations which are averaged over the cross section of the cavity. At the macro-scale, identities are derived to couple the local momentum and the mass balance to the governing equations for a saturated porous material. The resulting discrete equations are nonlinear due to the cohesive constitutive equations and the geometrically nonlinear kinematic relations. A Newton-Raphson iterative procedure is used to consistently linearise the derived system while a Crank-Nicholson scheme takes care of the time integration of the system. The derived model is used to analyse a quasi-static crack growth in confined compression under tensile loading.

Original languageEnglish
Article number012044
Number of pages10
JournalIOP Conference Series: Materials Science and Engineering
Volume10
Issue number1
DOIs
Publication statusPublished - 2010
Event9th World Congress on Computational Mechanics (WCCM 2010) and 4th Asian Pacific Congress on Computational Mechanics (APCCM 2010), July 19-23, 2010, Sydney, Australia - Sydney, Australia
Duration: 19 Jul 201023 Jul 2010

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