Time-dependent crack propagation in a poroelastic medium using a fully coupled hydromechanical displacement discontinuity method
Many problems in subsurface rocks which are naturally filled with saturated cracks and pores (with one or more fluid phases) are better understood in a poroelastic framework. Displacement discontinuity method ( DDM ) is particularly ideal for problems involving fractures and discontinuities. However...
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| Veröffentlicht in: | International journal of fracture 2016-05, Vol.199 (1), p.71-87 |
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| container_title | International journal of fracture |
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| creator | Abdollahipour, Abolfazl Marji, Mohammad Fatehi Bafghi, Alireza Yarahmadi Gholamnejad, Javad |
| description | Many problems in subsurface rocks which are naturally filled with saturated cracks and pores (with one or more fluid phases) are better understood in a poroelastic framework. Displacement discontinuity method (
DDM
) is particularly ideal for problems involving fractures and discontinuities. However, the
DDM
in its original form is limited to elastic problems. The paper derives fundamental solutions of a poroelastic
DDM
. Then introduces a numerical formulation and implementation for the poroelastic
DDM
in a code named constant element poroelastic
DDM
(
CEP-DDM
). The accuracy and validity of the proposed solution and the newly developed code is verified by an analytical solution at short-time and long-time. Numerical results showed good agreement with analytical results at short time (undrained response) and long time (
t
=
8000
s) (drained response). A crack propagation scheme for crack propagation problems is introduced and demonstrated in an example which enables the code to follow crack propagation in time and space. |
| doi_str_mv | 10.1007/s10704-016-0095-9 |
| format | Article |
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DDM
) is particularly ideal for problems involving fractures and discontinuities. However, the
DDM
in its original form is limited to elastic problems. The paper derives fundamental solutions of a poroelastic
DDM
. Then introduces a numerical formulation and implementation for the poroelastic
DDM
in a code named constant element poroelastic
DDM
(
CEP-DDM
). The accuracy and validity of the proposed solution and the newly developed code is verified by an analytical solution at short-time and long-time. Numerical results showed good agreement with analytical results at short time (undrained response) and long time (
t
=
8000
s) (drained response). A crack propagation scheme for crack propagation problems is introduced and demonstrated in an example which enables the code to follow crack propagation in time and space.</description><identifier>ISSN: 0376-9429</identifier><identifier>EISSN: 1573-2673</identifier><identifier>DOI: 10.1007/s10704-016-0095-9</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Accuracy ; Automotive Engineering ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Civil Engineering ; Classical Mechanics ; Constants ; Crack propagation ; Cracks ; Discontinuity ; Displacement ; Elastic limit ; Exact solutions ; Fracture mechanics ; Fractures ; Materials Science ; Mathematical analysis ; Mathematical models ; Mechanical Engineering ; Original Paper ; Propagation ; Time dependence</subject><ispartof>International journal of fracture, 2016-05, Vol.199 (1), p.71-87</ispartof><rights>Springer Science+Business Media Dordrecht 2016</rights><rights>International Journal of Fracture is a copyright of Springer, (2016). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c419t-841a665802396e27fe8c8d7c1756538adcc4f2bce1ba37a0b23787cbed51f6773</citedby><cites>FETCH-LOGICAL-c419t-841a665802396e27fe8c8d7c1756538adcc4f2bce1ba37a0b23787cbed51f6773</cites><orcidid>0000-0003-2687-4470</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10704-016-0095-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10704-016-0095-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Abdollahipour, Abolfazl</creatorcontrib><creatorcontrib>Marji, Mohammad Fatehi</creatorcontrib><creatorcontrib>Bafghi, Alireza Yarahmadi</creatorcontrib><creatorcontrib>Gholamnejad, Javad</creatorcontrib><title>Time-dependent crack propagation in a poroelastic medium using a fully coupled hydromechanical displacement discontinuity method</title><title>International journal of fracture</title><addtitle>Int J Fract</addtitle><description>Many problems in subsurface rocks which are naturally filled with saturated cracks and pores (with one or more fluid phases) are better understood in a poroelastic framework. Displacement discontinuity method (
DDM
) is particularly ideal for problems involving fractures and discontinuities. However, the
DDM
in its original form is limited to elastic problems. The paper derives fundamental solutions of a poroelastic
DDM
. Then introduces a numerical formulation and implementation for the poroelastic
DDM
in a code named constant element poroelastic
DDM
(
CEP-DDM
). The accuracy and validity of the proposed solution and the newly developed code is verified by an analytical solution at short-time and long-time. Numerical results showed good agreement with analytical results at short time (undrained response) and long time (
t
=
8000
s) (drained response). A crack propagation scheme for crack propagation problems is introduced and demonstrated in an example which enables the code to follow crack propagation in time and space.</description><subject>Accuracy</subject><subject>Automotive Engineering</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Civil Engineering</subject><subject>Classical Mechanics</subject><subject>Constants</subject><subject>Crack propagation</subject><subject>Cracks</subject><subject>Discontinuity</subject><subject>Displacement</subject><subject>Elastic limit</subject><subject>Exact solutions</subject><subject>Fracture mechanics</subject><subject>Fractures</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Original Paper</subject><subject>Propagation</subject><subject>Time dependence</subject><issn>0376-9429</issn><issn>1573-2673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kUtrHDEQhIVJwBsnPyA3gS-5KNFj9JhjMHmBwRf7LLRSz65sjTSRZg57y0-Plg0EAjk1TX9VVFMIvWf0I6NUf2qMajoQyhShdJRkvEI7JrUgXGnxCu2o0IqMAx-v0ZvWnmmHtBl26NdjnIEEWCAHyCv21fkXvNSyuINbY8k4ZuzwUmqB5NoaPZ4hxG3GW4v50E_TltIJ-7ItCQI-nkItM_ijy9G7hENsS3Ie5rN5X3zJa8xbXE_dZz2W8Ba9nlxq8O7PvEFPX7883n0n9w_fftx9vid-YONKzMCcUtJQLkYFXE9gvAnaMy2VFMYF74eJ7z2wvRPa0T0X2mi_hyDZpLQWN-jDxbf_9nODttq5p4GUXIayNcuMlEILpXhHb_9Bn8tWc09nOZejEVLrsVPsQvlaWqsw2aXG2dWTZdSeO7GXTmzvxJ47sWcNv2haZ_MB6l_n_4t-A0B3kYg</recordid><startdate>20160501</startdate><enddate>20160501</enddate><creator>Abdollahipour, Abolfazl</creator><creator>Marji, Mohammad Fatehi</creator><creator>Bafghi, Alireza Yarahmadi</creator><creator>Gholamnejad, Javad</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0003-2687-4470</orcidid></search><sort><creationdate>20160501</creationdate><title>Time-dependent crack propagation in a poroelastic medium using a fully coupled hydromechanical displacement discontinuity method</title><author>Abdollahipour, Abolfazl ; Marji, Mohammad Fatehi ; Bafghi, Alireza Yarahmadi ; Gholamnejad, Javad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c419t-841a665802396e27fe8c8d7c1756538adcc4f2bce1ba37a0b23787cbed51f6773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Accuracy</topic><topic>Automotive Engineering</topic><topic>Characterization and Evaluation of Materials</topic><topic>Chemistry and Materials Science</topic><topic>Civil Engineering</topic><topic>Classical Mechanics</topic><topic>Constants</topic><topic>Crack propagation</topic><topic>Cracks</topic><topic>Discontinuity</topic><topic>Displacement</topic><topic>Elastic limit</topic><topic>Exact solutions</topic><topic>Fracture mechanics</topic><topic>Fractures</topic><topic>Materials Science</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mechanical Engineering</topic><topic>Original Paper</topic><topic>Propagation</topic><topic>Time dependence</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Abdollahipour, Abolfazl</creatorcontrib><creatorcontrib>Marji, Mohammad Fatehi</creatorcontrib><creatorcontrib>Bafghi, Alireza Yarahmadi</creatorcontrib><creatorcontrib>Gholamnejad, Javad</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of fracture</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Abdollahipour, Abolfazl</au><au>Marji, Mohammad Fatehi</au><au>Bafghi, Alireza Yarahmadi</au><au>Gholamnejad, Javad</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Time-dependent crack propagation in a poroelastic medium using a fully coupled hydromechanical displacement discontinuity method</atitle><jtitle>International journal of fracture</jtitle><stitle>Int J Fract</stitle><date>2016-05-01</date><risdate>2016</risdate><volume>199</volume><issue>1</issue><spage>71</spage><epage>87</epage><pages>71-87</pages><issn>0376-9429</issn><eissn>1573-2673</eissn><abstract>Many problems in subsurface rocks which are naturally filled with saturated cracks and pores (with one or more fluid phases) are better understood in a poroelastic framework. Displacement discontinuity method (
DDM
) is particularly ideal for problems involving fractures and discontinuities. However, the
DDM
in its original form is limited to elastic problems. The paper derives fundamental solutions of a poroelastic
DDM
. Then introduces a numerical formulation and implementation for the poroelastic
DDM
in a code named constant element poroelastic
DDM
(
CEP-DDM
). The accuracy and validity of the proposed solution and the newly developed code is verified by an analytical solution at short-time and long-time. Numerical results showed good agreement with analytical results at short time (undrained response) and long time (
t
=
8000
s) (drained response). A crack propagation scheme for crack propagation problems is introduced and demonstrated in an example which enables the code to follow crack propagation in time and space.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10704-016-0095-9</doi><tpages>17</tpages><orcidid>https://orcid.org/0000-0003-2687-4470</orcidid></addata></record> |
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| subjects | Accuracy Automotive Engineering Characterization and Evaluation of Materials Chemistry and Materials Science Civil Engineering Classical Mechanics Constants Crack propagation Cracks Discontinuity Displacement Elastic limit Exact solutions Fracture mechanics Fractures Materials Science Mathematical analysis Mathematical models Mechanical Engineering Original Paper Propagation Time dependence |
| title | Time-dependent crack propagation in a poroelastic medium using a fully coupled hydromechanical displacement discontinuity method |
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