Hydraulically induced fractures usually initiate at very small (microscopic) length scales and then merge to larger (macroscopic) crack discontinuities. The goal of the project is to resolve this inherent characteristic through the development of computational scale-bridging techniques for hydraulic fracturing of porous media. The project is divided in three steps: (i) Development of a general basis for the homogenization of porous media; (ii) Incorporation of a fracture phase-field at micro-scale; (iii) Incorporation of elastic-plastic effects at micro-level. The result will be a new quality in the modelling of hydraulic fracturing across length scales.
Publications in Project B01
- Polukhov, E., & Keip, M.-A. (n.d.). Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle. Advanced Modeling and Simulation in Engineering Sciences, 7(1), Article 1. https://doi.org/10.1186/s40323-020-00161-6
- Teichtmeister, S., Mauthe, S., & Miehe, C. (n.d.). Aspects of finite element formulations for the coupled problem of poroelasticity based on a canonical minimization principle. Computational Mechanics. https://doi.org/10.1007/s00466-019-01677-4
- Kienle, D., Aldakheel, F., & Keip, M.-A. (n.d.). A finite-strain phase-field approach to ductile failure of frictional materials. International Journal of Solids and Structures. https://doi.org/10.1016/j.ijsolstr.2019.02.006