A partition of unity-based model for crack nucleation and propagation in porous media, including orthotropic materials

E.W. Remij, J.J.C. Remmers, F. Pizzocolo, D.M.J. Smeulders, J.M.R.J. Huyghe

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8 Citations (Scopus)

Abstract

In this paper, we present a general partition of unity-based cohesive zone model for fracture propagation and nucleation in saturated porous materials. We consider both two-dimensional isotropic and orthotropic media based on the general Biot theory. Fluid flow from the bulk formation into the fracture is accounted for. The fracture propagation is based on an average stress approach. This approach is adjusted to be directionally depended for orthotropic materials. The accuracy of the continuous part of the model is addressed by performing Mandel’s problem for isotropic and orthotropic materials. The performance of the model is investigated with a propagating fracture in an orthotropic material and by considering fracture nucleation and propagation in an isotropic mixed-mode fracture problem. In the latter example we also investigated the influence of the bulk permeability on the numerical results.
LanguageEnglish
Pages1-18
Number of pages18
JournalTransport in Porous Media
Volume106
Issue number3
DOIs
StatePublished - 2014

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Porous materials
Nucleation
Cracks
Crack propagation
Flow of fluids

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title = "A partition of unity-based model for crack nucleation and propagation in porous media, including orthotropic materials",
abstract = "In this paper, we present a general partition of unity-based cohesive zone model for fracture propagation and nucleation in saturated porous materials. We consider both two-dimensional isotropic and orthotropic media based on the general Biot theory. Fluid flow from the bulk formation into the fracture is accounted for. The fracture propagation is based on an average stress approach. This approach is adjusted to be directionally depended for orthotropic materials. The accuracy of the continuous part of the model is addressed by performing Mandel’s problem for isotropic and orthotropic materials. The performance of the model is investigated with a propagating fracture in an orthotropic material and by considering fracture nucleation and propagation in an isotropic mixed-mode fracture problem. In the latter example we also investigated the influence of the bulk permeability on the numerical results.",
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A partition of unity-based model for crack nucleation and propagation in porous media, including orthotropic materials. / Remij, E.W.; Remmers, J.J.C.; Pizzocolo, F.; Smeulders, D.M.J.; Huyghe, J.M.R.J.

In: Transport in Porous Media, Vol. 106, No. 3, 2014, p. 1-18.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - A partition of unity-based model for crack nucleation and propagation in porous media, including orthotropic materials

AU - Remij,E.W.

AU - Remmers,J.J.C.

AU - Pizzocolo,F.

AU - Smeulders,D.M.J.

AU - Huyghe,J.M.R.J.

PY - 2014

Y1 - 2014

N2 - In this paper, we present a general partition of unity-based cohesive zone model for fracture propagation and nucleation in saturated porous materials. We consider both two-dimensional isotropic and orthotropic media based on the general Biot theory. Fluid flow from the bulk formation into the fracture is accounted for. The fracture propagation is based on an average stress approach. This approach is adjusted to be directionally depended for orthotropic materials. The accuracy of the continuous part of the model is addressed by performing Mandel’s problem for isotropic and orthotropic materials. The performance of the model is investigated with a propagating fracture in an orthotropic material and by considering fracture nucleation and propagation in an isotropic mixed-mode fracture problem. In the latter example we also investigated the influence of the bulk permeability on the numerical results.

AB - In this paper, we present a general partition of unity-based cohesive zone model for fracture propagation and nucleation in saturated porous materials. We consider both two-dimensional isotropic and orthotropic media based on the general Biot theory. Fluid flow from the bulk formation into the fracture is accounted for. The fracture propagation is based on an average stress approach. This approach is adjusted to be directionally depended for orthotropic materials. The accuracy of the continuous part of the model is addressed by performing Mandel’s problem for isotropic and orthotropic materials. The performance of the model is investigated with a propagating fracture in an orthotropic material and by considering fracture nucleation and propagation in an isotropic mixed-mode fracture problem. In the latter example we also investigated the influence of the bulk permeability on the numerical results.

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JO - Transport in Porous Media

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