Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 75, Issue -, Pages 104-118Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2014.11.011
Keywords
Hydraulic fracture; Lattice; Hydro-mechanical; Damage
Funding
- UK Engineering and Physical Sciences Research Council (EPSRC) [EP/I036427/1]
- Engineering and Physical Sciences Research Council [EP/I036427/1] Funding Source: researchfish
- EPSRC [EP/I036427/1] Funding Source: UKRI
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A 2D lattice approach to describe hydraulic fracturing is presented. The interaction of fluid pressure and mechanical response is described by Blot's theory. The lattice model is applied to the analysis of a thick-walled cylinder, for which an analytical solution for the elastic response is derived. The numerical results obtained with the lattice model agree well with the analytical solution. Furthermore, the coupled lattice approach is applied to the fracture analysis of the thick-walled cylinder. It is shown that the proposed lattice approach provides results that are independent of the mesh size. Moreover, a strong geometrical size effect on nominal strength is observed which lies between analytically derived lower and upper bounds. This size effect decreases with increasing Biot's coefficient. (C) 2014 Elsevier Ltd. All rights reserved.
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