Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses
Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and nu...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhao, Yanlin [verfasserIn] Liu, Qiang [verfasserIn] Liao, Jian [verfasserIn] Wang, Yixian [verfasserIn] Tang, Liming [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Arabian journal of geosciences - Berlin : Springer, 2008, 13(2020), 18 vom: 09. Sept. |
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| Übergeordnetes Werk: |
volume:13 ; year:2020 ; number:18 ; day:09 ; month:09 |
| Links: |
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| DOI / URN: |
10.1007/s12517-020-05957-9 |
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| Katalog-ID: |
SPR040924084 |
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| 100 | 1 | |a Zhao, Yanlin |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
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| 520 | |a Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. | ||
| 650 | 4 | |a Crack propagation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Stress intensity factor |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Hydraulic pressure |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Wing crack |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Liu, Qiang |e verfasserin |4 aut | |
| 700 | 1 | |a Liao, Jian |e verfasserin |4 aut | |
| 700 | 1 | |a Wang, Yixian |e verfasserin |4 aut | |
| 700 | 1 | |a Tang, Liming |e verfasserin |4 aut | |
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10.1007/s12517-020-05957-9 doi (DE-627)SPR040924084 (SPR)s12517-020-05957-9-e DE-627 ger DE-627 rakwb eng 550 ASE Zhao, Yanlin verfasserin aut Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. Crack propagation (dpeaa)DE-He213 Stress intensity factor (dpeaa)DE-He213 Hydraulic pressure (dpeaa)DE-He213 Wing crack (dpeaa)DE-He213 Liu, Qiang verfasserin aut Liao, Jian verfasserin aut Wang, Yixian verfasserin aut Tang, Liming verfasserin aut Enthalten in Arabian journal of geosciences Berlin : Springer, 2008 13(2020), 18 vom: 09. Sept. (DE-627)572421877 (DE-600)2438771-X 1866-7538 nnns volume:13 year:2020 number:18 day:09 month:09 https://dx.doi.org/10.1007/s12517-020-05957-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2020 18 09 09 |
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10.1007/s12517-020-05957-9 doi (DE-627)SPR040924084 (SPR)s12517-020-05957-9-e DE-627 ger DE-627 rakwb eng 550 ASE Zhao, Yanlin verfasserin aut Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. Crack propagation (dpeaa)DE-He213 Stress intensity factor (dpeaa)DE-He213 Hydraulic pressure (dpeaa)DE-He213 Wing crack (dpeaa)DE-He213 Liu, Qiang verfasserin aut Liao, Jian verfasserin aut Wang, Yixian verfasserin aut Tang, Liming verfasserin aut Enthalten in Arabian journal of geosciences Berlin : Springer, 2008 13(2020), 18 vom: 09. Sept. (DE-627)572421877 (DE-600)2438771-X 1866-7538 nnns volume:13 year:2020 number:18 day:09 month:09 https://dx.doi.org/10.1007/s12517-020-05957-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2020 18 09 09 |
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10.1007/s12517-020-05957-9 doi (DE-627)SPR040924084 (SPR)s12517-020-05957-9-e DE-627 ger DE-627 rakwb eng 550 ASE Zhao, Yanlin verfasserin aut Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. Crack propagation (dpeaa)DE-He213 Stress intensity factor (dpeaa)DE-He213 Hydraulic pressure (dpeaa)DE-He213 Wing crack (dpeaa)DE-He213 Liu, Qiang verfasserin aut Liao, Jian verfasserin aut Wang, Yixian verfasserin aut Tang, Liming verfasserin aut Enthalten in Arabian journal of geosciences Berlin : Springer, 2008 13(2020), 18 vom: 09. Sept. (DE-627)572421877 (DE-600)2438771-X 1866-7538 nnns volume:13 year:2020 number:18 day:09 month:09 https://dx.doi.org/10.1007/s12517-020-05957-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2020 18 09 09 |
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10.1007/s12517-020-05957-9 doi (DE-627)SPR040924084 (SPR)s12517-020-05957-9-e DE-627 ger DE-627 rakwb eng 550 ASE Zhao, Yanlin verfasserin aut Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. Crack propagation (dpeaa)DE-He213 Stress intensity factor (dpeaa)DE-He213 Hydraulic pressure (dpeaa)DE-He213 Wing crack (dpeaa)DE-He213 Liu, Qiang verfasserin aut Liao, Jian verfasserin aut Wang, Yixian verfasserin aut Tang, Liming verfasserin aut Enthalten in Arabian journal of geosciences Berlin : Springer, 2008 13(2020), 18 vom: 09. Sept. (DE-627)572421877 (DE-600)2438771-X 1866-7538 nnns volume:13 year:2020 number:18 day:09 month:09 https://dx.doi.org/10.1007/s12517-020-05957-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2020 18 09 09 |
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10.1007/s12517-020-05957-9 doi (DE-627)SPR040924084 (SPR)s12517-020-05957-9-e DE-627 ger DE-627 rakwb eng 550 ASE Zhao, Yanlin verfasserin aut Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. Crack propagation (dpeaa)DE-He213 Stress intensity factor (dpeaa)DE-He213 Hydraulic pressure (dpeaa)DE-He213 Wing crack (dpeaa)DE-He213 Liu, Qiang verfasserin aut Liao, Jian verfasserin aut Wang, Yixian verfasserin aut Tang, Liming verfasserin aut Enthalten in Arabian journal of geosciences Berlin : Springer, 2008 13(2020), 18 vom: 09. Sept. (DE-627)572421877 (DE-600)2438771-X 1866-7538 nnns volume:13 year:2020 number:18 day:09 month:09 https://dx.doi.org/10.1007/s12517-020-05957-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 13 2020 18 09 09 |
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Enthalten in Arabian journal of geosciences 13(2020), 18 vom: 09. Sept. volume:13 year:2020 number:18 day:09 month:09 |
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Crack propagation Stress intensity factor Hydraulic pressure Wing crack |
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Arabian journal of geosciences |
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Zhao, Yanlin @@aut@@ Liu, Qiang @@aut@@ Liao, Jian @@aut@@ Wang, Yixian @@aut@@ Tang, Liming @@aut@@ |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR040924084</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220111132318.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201007s2020 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s12517-020-05957-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR040924084</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s12517-020-05957-9-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">550</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhao, Yanlin</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Crack propagation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stress intensity factor</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hydraulic pressure</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wing crack</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Qiang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liao, Jian</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Yixian</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tang, Liming</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Arabian journal of geosciences</subfield><subfield code="d">Berlin : Springer, 2008</subfield><subfield code="g">13(2020), 18 vom: 09. 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| author |
Zhao, Yanlin |
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Zhao, Yanlin ddc 550 misc Crack propagation misc Stress intensity factor misc Hydraulic pressure misc Wing crack Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
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550 ASE Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses Crack propagation (dpeaa)DE-He213 Stress intensity factor (dpeaa)DE-He213 Hydraulic pressure (dpeaa)DE-He213 Wing crack (dpeaa)DE-He213 |
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ddc 550 misc Crack propagation misc Stress intensity factor misc Hydraulic pressure misc Wing crack |
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ddc 550 misc Crack propagation misc Stress intensity factor misc Hydraulic pressure misc Wing crack |
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Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
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Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
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Zhao, Yanlin |
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Arabian journal of geosciences |
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Zhao, Yanlin Liu, Qiang Liao, Jian Wang, Yixian Tang, Liming |
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Elektronische Aufsätze |
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Zhao, Yanlin |
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10.1007/s12517-020-05957-9 |
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theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
| title_auth |
Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
| abstract |
Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. |
| abstractGer |
Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. |
| abstract_unstemmed |
Abstract The evolution laws of stress intensity factor (SIF) at the crack tip subjected to hydraulic pressure have still not elucidated clearly. This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. The average SSRs of HN, S, B, LK, W, and Z model solutions to SIF at the wing crack tip are 0.0079, 0.0348, 0.0099, 0.0127, 0.0077, and 0.0068, respectively. So the average SSRs of the Z and S model solutions are the lowest and highest among all theoretical model solutions. The Z model solution to SIF at the wing crack tip subjected to the combined action of hydraulic pressure and far-field stresses can be considered an optimal solution due to the lowest average SSR. The study further enhances the understanding of the mechanical behavior of hydraulic fracturing in rock mass engineering. |
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18 |
| title_short |
Theoretical and numerical models of rock wing crack subjected to hydraulic pressure and far-field stresses |
| url |
https://dx.doi.org/10.1007/s12517-020-05957-9 |
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| author2 |
Liu, Qiang Liao, Jian Wang, Yixian Tang, Liming |
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Liu, Qiang Liao, Jian Wang, Yixian Tang, Liming |
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572421877 |
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| doi_str |
10.1007/s12517-020-05957-9 |
| up_date |
2024-07-03T19:07:47.955Z |
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This article attempts to study the evolution laws of SIF at the wing crack tip subjected to hydraulic pressure and far-field stresses, theoretically and numerically, based on the previous proposed wing crack models without considering hydraulic pressure. The numerical model of wing crack subjected to hydraulic pressure and far-field stresses is proposed by ANSYS based on finite element model (FEM). Research results show that the curves of the dimensionless SIF at the wing crack tip versus equivalent crack propagation length are in three major types: D type, DR type, and R type. The D type curve exhibits a steady propagation behavior of wing crack; however, the DR type and R type curves exhibit unsteady propagation behavior. The D type curve gradually transfers to the DR and R type curves with increasing hydraulic pressure. On the whole, the tendency of theoretical model curves is in agreement with that of numerical simulation curves. 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| score |
7.3993464 |