On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture

Grassl, P., Fahy, C., Gallipoli, D. and Wheeler, S.J. (2015) On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture. Journal of the Mechanics and Physics of Solids, 93, pp. 64-73. (doi:10.1016/j.jmps.2014.11.011)

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Abstract

A 2D lattice approach to describe hydraulic fracturing is presented. The interaction of fluid pressure and mechanical response is described by Biot'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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Grassl, Dr Peter and Wheeler, Professor Simon and Fahy, Ms Caroline and Gallipoli, Dr Domenico
Authors: Grassl, P., Fahy, C., Gallipoli, D., and Wheeler, S.J.
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
College of Science and Engineering > School of Engineering
Journal Name:Journal of the Mechanics and Physics of Solids
Publisher:Elsevier Ltd.
ISSN:0022-5096
ISSN (Online):1873-4782

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