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 language | English |
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Publication status | Published - 2010 |
Externally published | Yes |
Event | 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010 - Dresden, Germany Duration: 30 Aug 2010 → 3 Sep 2010 |
Conference
Conference | 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale, ECF 2010 |
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Country/Territory | Germany |
City | Dresden |
Period | 30/08/10 → 3/09/10 |
Keywords
- Crack propagation
- Discontinuity
- Mass balance
- Mixed hybrid
- Partition of unity
- Porous medium