An adaptive mesh refinement algorithm for 3D phase

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A three-dimensional automatic adaptive mesh refinement procedure implemented within a finite element environ- ment is presented for modeling hydraulically ...

YIC GACM 2015 3rd ECCOMAS Young Investigators Conference 6th GACM Colloquium July 20–23, 2015, Aachen, Germany

An adaptive mesh refinement algorithm for 3D phase-field analysis of hydraulic fracturing problems S. A. Mohseni a,∗ , I. Khisamitov a , G. Meschke a a

Institute for Structural Mechanics, Ruhr-University Bochum, Universit¨atsstraße 150, 44801 Bochum, Germany

[email protected]

Keywords: adaptive remeshing; fracture mechanics; crack growth; phase-field A three-dimensional automatic adaptive mesh refinement procedure implemented within a finite element environment is presented for modeling hydraulically induced fracture propagation in geological materials. Crack initiation and propagation in porous, brittle materials is represented by a recently developed phase-field model using a staggered scheme for the solution of the hydro-mechanically coupled problem. Since the phase-field approach requires a fine resolution of the fracture zone, for large scale analyses a suitable adaptive mesh refinement strategy is required. In the contribution, a h-refinement strategy is developed for phase-field hydraulic fracturing analysis. Different mesh refinement criteria based upon the phase-field parameter, its gradient or the released strain energy are investigated by means of comparative analyses of selected benchmark examples. The adaptive phase-field model is validated by means of re-analyses of fracture tests on rock specimens and comparisons with experimental results. References [1] Daniel S.H. Lo. Finite Element Mesh Generation. CRC Press, 2014. [2] A.R. Khoei, M. Eghbalian, H. Moslemi and H. Azadi. Crack growth modeling via 3D automatic adaptive mesh refinement based on modified-SPR technique. Applied Mathematical Modelling. 37:357–383, 2013. [3] M.J. Borden, C.V. Verhoosel, M.A. Scott, T.J.R. Hughes and C.M. Landis. A phase-field description of dynamic brittle fracture. Computer Methods in Applied Mechanics and Engineering 217:77–95, 2012.