A mixed hybrid formulation for 2D poroelasticity with discontinuity

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

Onderzoeksoutput: Bijdrage aan congresPaper

Uittreksel

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.

Originele taal-2Engels
Pagina's1-8
Aantal pagina's8
StatusGepubliceerd - 1 dec 2010
Evenement18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010 - Dresden, Duitsland
Duur: 30 aug 20103 sep 2010

Congres

Congres18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010
LandDuitsland
StadDresden
Periode30/08/103/09/10

Vingerafdruk

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

Citeer dit

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 gepresenteerd op 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Duitsland.
Pizzocolo, F. ; Huyghe, J. M. ; Remmers, J.J.C. ; Ito, K. ; de Borst, R. / A mixed hybrid formulation for 2D poroelasticity with discontinuity. Paper gepresenteerd op 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Duitsland.8 blz.
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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.",
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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 gepresenteerd op 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Duitsland, 30/08/10 - 3/09/10 blz. 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 gepresenteerd op 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Duitsland.

Onderzoeksoutput: Bijdrage aan congresPaper

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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.

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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 gepresenteerd op 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010, Dresden, Duitsland.