Grassl, P. , Jirásek, M. and Gallipoli, D. (2019) Initiation of fluid-induced fracture in a thick-walled hollow permeable sphere. European Journal of Mechanics - A/Solids, 76, pp. 123-134. (doi: 10.1016/j.euromechsol.2019.04.004)
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Abstract
The initiation of fluid-induced fracture in formations of permeable geomaterials subjected to quasi-stationary flow processes (drained response) can be strongly affected by Biot's coefficient and the size of the formation. The aim of this paper is to analyse the influence of these parameters on the initial fracture process of a thick-walled hollow permeable sphere subjected to fluid injection in the hole. Assuming that fracture patterns are distributed uniformly during the hardening stage of the fracture initiation process, the coupled fluid-solid problem is described by a nonlinear ordinary differential equation, which is solved numerically by means of finite differences combined with shooting and Newton methods. The finite difference code has also been validated in the elastic range, i.e., before initiation of fracture, against an original closed-form analytical solution of the above differential equation. The results show that the nominal strength of the sphere increases with increasing Biot's coefficient and decreases with increasing size.
| Item Type: | Articles |
|---|---|
| Additional Information: | Financial support of the Czech Science Foundation (project GACR 17-04150J) is gratefully acknowledged. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Gallipoli, Dr Domenico and Grassl, Dr Peter |
| Authors: | Grassl, P., Jirásek, M., and Gallipoli, D. |
| College/School: | College of Science and Engineering > School of Engineering College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | European Journal of Mechanics - A/Solids |
| Publisher: | Elsevier Masson SA |
| ISSN: | 0997-7538 |
| ISSN (Online): | 1873-7285 |
| Published Online: | 08 April 2019 |
| Copyright Holders: | Copyright © 2019 Elsevier Masson SAS |
| First Published: | First published in European Journal of Mechanics - A/Solids 76:123-134 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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