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.
