A mixed hybrid formulation for 2D poroelasticity with discontinuity

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

Research output: Contribution to conferencePaperAcademic

Abstract

Using standard finite element formulations to study problems of poroelasticity the mass balance equation is fulfilled only globally, but locally does not. In standard FEMthe fluid flow is achieved by differentiation of the fluid pressure and this leads to errors in the evaluation of the flow. In general the local error in the calculation of the fluid flow has not a big influence on the global behavior, but in case of cracks (and especially at the crack tip underestimating the local flow can influence dramatically the global behavior and with that structural integrity. Using a mixed hybrid formulation this problem is overcome, because with the MHFEM the normal in-And out-flux is guaranteed to be continuous across the inter-element boundaries. Implementing this method with the partition of unity method, it has been developed to a powerful tool, that fulfills the mass balance both locally and globally, to study crack propagation in bi-phasic and fully saturated porous materials.

Original languageEnglish
Pages1-8
Number of pages8
Publication statusPublished - 1 Dec 2010
Event18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010 - Dresden, Germany
Duration: 30 Aug 20103 Sep 2010

Conference

Conference18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010
CountryGermany
CityDresden
Period30/08/103/09/10

Fingerprint

Flow of fluids
Structural integrity
Crack tips
Porous materials
Crack propagation
Fluxes
Cracks
Fluids

Keywords

  • Crack propagation
  • Discontinuity
  • Mass balance
  • Mixed hybrid
  • Partition of unity
  • Porous medium

Cite this

Pizzocolo, F., Huyghe, J. M., Remmers, J. J. C., Ito, K., & de Borst, R. (2010). A mixed hybrid formulation for 2D poroelasticity with discontinuity. 1-8. Paper presented at 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Germany.
Pizzocolo, F. ; Huyghe, J. M. ; Remmers, J.J.C. ; Ito, K. ; de Borst, R. / A mixed hybrid formulation for 2D poroelasticity with discontinuity. Paper presented at 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Germany.8 p.
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Pizzocolo, F, Huyghe, JM, Remmers, JJC, Ito, K & de Borst, R 2010, 'A mixed hybrid formulation for 2D poroelasticity with discontinuity' Paper presented at 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Germany, 30/08/10 - 3/09/10, pp. 1-8.

A mixed hybrid formulation for 2D poroelasticity with discontinuity. / Pizzocolo, F.; Huyghe, J. M.; Remmers, J.J.C.; Ito, K.; de Borst, R.

2010. 1-8 Paper presented at 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Germany.

Research output: Contribution to conferencePaperAcademic

TY - CONF

T1 - A mixed hybrid formulation for 2D poroelasticity with discontinuity

AU - Pizzocolo, F.

AU - Huyghe, J. M.

AU - Remmers, J.J.C.

AU - Ito, K.

AU - de Borst, R.

PY - 2010/12/1

Y1 - 2010/12/1

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AB - Using standard finite element formulations to study problems of poroelasticity the mass balance equation is fulfilled only globally, but locally does not. In standard FEMthe fluid flow is achieved by differentiation of the fluid pressure and this leads to errors in the evaluation of the flow. In general the local error in the calculation of the fluid flow has not a big influence on the global behavior, but in case of cracks (and especially at the crack tip underestimating the local flow can influence dramatically the global behavior and with that structural integrity. Using a mixed hybrid formulation this problem is overcome, because with the MHFEM the normal in-And out-flux is guaranteed to be continuous across the inter-element boundaries. Implementing this method with the partition of unity method, it has been developed to a powerful tool, that fulfills the mass balance both locally and globally, to study crack propagation in bi-phasic and fully saturated porous materials.

KW - Crack propagation

KW - Discontinuity

KW - Mass balance

KW - Mixed hybrid

KW - Partition of unity

KW - Porous medium

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Pizzocolo F, Huyghe JM, Remmers JJC, Ito K, de Borst R. A mixed hybrid formulation for 2D poroelasticity with discontinuity. 2010. Paper presented at 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Germany.