Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation
Thesis (S.M.)--Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2013.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2013
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/82838 |
| _version_ | 1826191349247901696 |
|---|---|
| author | Laubie, Hadrien Hyacinthe |
| author2 | Franz-Josef Ulm. |
| author_facet | Franz-Josef Ulm. Laubie, Hadrien Hyacinthe |
| author_sort | Laubie, Hadrien Hyacinthe |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2013. |
| first_indexed | 2024-09-23T08:54:31Z |
| format | Thesis |
| id | mit-1721.1/82838 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:54:31Z |
| publishDate | 2013 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/828382019-04-10T19:38:59Z Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation Laubie, Hadrien Hyacinthe Franz-Josef Ulm. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering. Civil and Environmental Engineering. Thesis (S.M.)--Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2013. Cataloged from PDF version of thesis. Includes bibliographical references (pages 167-169). Fracture mechanics is a field of continuum mechanics with the objective to predict how cracks initiate and propagate in solids. It has a wide domain of application. While aerospace engineers want to make sure a defect in a structure will not grow and possibly lead to failure, petroleum engineers try to increase the permeability of gas shale rocks by fracturing it. In this context, we introduce some elements of linear elastic fracture mechanics in anisotropic solids. Notably, a special attention is paid to transverse isotropy, often used to model rocks but also some piezoelectric materials or fiber-reinforced composites. We focus on brittle materials, that is, we consider only elastic deformations; we thus ignore dissipative phenomena other than the one associated with the creation of crack surface. This thesis aims at understanding and predicting how pressurized cracks propagate in anisotropic brittle solids, in the framework of linear elastic fracture mechanics. The elastic coefficients relevant to the study of a pressurized crack in such materials are identified. Interestingly, they are directly related to quantities easily measured in a lab at the macroscopic scale through indentation tests and acoustic measurements. As an application, the fluid-driven crack problem is addressed. It is shown that the classical tools of the isotropic fluid-driven crack model remain valid in anisotropy, provided the appropriate elastic constants are used. We introduce the concept of crack-shape adaptability: the ability of three-dimensional cracks to shape with the elastic content. This ability could be ruled by three criteria herein introduced. The first one is based on the maximum dissipation principle. The second one is based on Irwin's theory of fracture and the concept of stress intensity factors. As for the third one, it is based on Griffith's energetic theory. While the first criterion predicts that circular cracks are more favorable, the others predict that elliptical shapes are more likely to be seen. This thesis could be valuable in the context of the stimulation of unconventional oil and gas from organic-rich shale. by Hadrien Hyacinthe Laubie. S.M. 2013-12-06T20:47:53Z 2013-12-06T20:47:53Z 2013 Thesis http://hdl.handle.net/1721.1/82838 863223077 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 169 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Civil and Environmental Engineering. Laubie, Hadrien Hyacinthe Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation |
| title | Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation |
| title_full | Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation |
| title_fullStr | Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation |
| title_full_unstemmed | Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation |
| title_short | Linear elastic fracture mechanics in anisotropic solids : application to fluid-driven crack propagation |
| title_sort | linear elastic fracture mechanics in anisotropic solids application to fluid driven crack propagation |
| topic | Civil and Environmental Engineering. |
| url | http://hdl.handle.net/1721.1/82838 |
| work_keys_str_mv | AT laubiehadrienhyacinthe linearelasticfracturemechanicsinanisotropicsolidsapplicationtofluiddrivencrackpropagation |