Dynamic Mechanical Properties and Constitutive Model of Coal Rock Under Direct Tension
As one of the hotspots in rock mechanics research, coal rock’s dynamic tensile properties are crucial to the parameter selection of blasting engineering, mechanism studies of rock burst disasters, and stability control. The stress states of coal rock during indirect tension with Brazilian splitting...
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| Veröffentlicht in: | Rock mechanics and rock engineering 2024-11, Vol.57 (11), p.9231-9249 |
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| creator | Zhou, Hui Ren, Huiqi Xie, Quanmin Zhang, Hongen Fu, Qiang Mu, Chaomin |
| description | As one of the hotspots in rock mechanics research, coal rock’s dynamic tensile properties are crucial to the parameter selection of blasting engineering, mechanism studies of rock burst disasters, and stability control. The stress states of coal rock during indirect tension with Brazilian splitting and direct tension with split Hopkinson tensile bar (SHTB) were compared using numerical simulations, revealing the superiority of the direct-tension test. On this basis, systematic dynamic direct-tension tests of coal rock under the strain rates (124 to 247 s
−1
) were carried out utilizing the improved SHTB, and quasi-static tensile tests were performed for comparison. The results reveal that the connection mode of using high-strength adhesive paste specimens and gradient reinforcement with steel wire mesh is reliable for SHTB tests. However, the stress equilibrium is no longer satisfied if the strain rate exceeds 300 s
−1
, and the layered fracture of the specimen will occur. With an increase in strain rate, the dynamic elastic modulus increases linearly, the dynamic tensile strength tends to increase as an exponential function, and the dynamic increase factor (DIF) tends to increase linearly in two stages. The DIF grows slowly once the strain rate is over 180 s
−1
and the dynamic ultimate tensile strength of the coal rock lies around 8 MPa. Finally, based on the improved Zhu–Wang–Tang (ZWT) model and the introduction of dynamic damage factor, the unified damage constitutive equation that can describe the strain rate effect under dynamic tension of coal rock is constructed. Moreover, the rationality of the constitutive parameter value is verified.
Highlights
Superiority of direct tension test over Brazilian disk tensile test is revealed
Functional relationship between tensile DIF and strain rate of coal rock isobtained
Unified damage constitutive model of coal rock under dynamic tension isconstructed |
| doi_str_mv | 10.1007/s00603-024-04071-6 |
| format | Article |
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−1
) were carried out utilizing the improved SHTB, and quasi-static tensile tests were performed for comparison. The results reveal that the connection mode of using high-strength adhesive paste specimens and gradient reinforcement with steel wire mesh is reliable for SHTB tests. However, the stress equilibrium is no longer satisfied if the strain rate exceeds 300 s
−1
, and the layered fracture of the specimen will occur. With an increase in strain rate, the dynamic elastic modulus increases linearly, the dynamic tensile strength tends to increase as an exponential function, and the dynamic increase factor (DIF) tends to increase linearly in two stages. The DIF grows slowly once the strain rate is over 180 s
−1
and the dynamic ultimate tensile strength of the coal rock lies around 8 MPa. Finally, based on the improved Zhu–Wang–Tang (ZWT) model and the introduction of dynamic damage factor, the unified damage constitutive equation that can describe the strain rate effect under dynamic tension of coal rock is constructed. Moreover, the rationality of the constitutive parameter value is verified.
Highlights
Superiority of direct tension test over Brazilian disk tensile test is revealed
Functional relationship between tensile DIF and strain rate of coal rock isobtained
Unified damage constitutive model of coal rock under dynamic tension isconstructed</description><identifier>ISSN: 0723-2632</identifier><identifier>EISSN: 1434-453X</identifier><identifier>DOI: 10.1007/s00603-024-04071-6</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Adhesive strength ; Blasting ; Civil Engineering ; Coal ; Constitutive equations ; Constitutive models ; Constitutive relationships ; Control stability ; Damage ; Disasters ; Dynamic mechanical properties ; Earth and Environmental Science ; Earth Sciences ; Exponential functions ; Geophysics/Geodesy ; Mechanical properties ; Modulus of elasticity ; Original Paper ; Parameters ; Rock ; Rock mechanics ; Rockbursts ; Rocks ; Steel wire ; Storage modulus ; Strain ; Strain rate ; Tensile properties ; Tensile strength ; Tensile tests ; Tension ; Tension tests ; Ultimate tensile strength ; Wire cloth ; Wire ropes</subject><ispartof>Rock mechanics and rock engineering, 2024-11, Vol.57 (11), p.9231-9249</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c200t-d09c3f86e84530d9ef750be657ee77c3fc08dd842eccd469cc8b5773d16353943</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00603-024-04071-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00603-024-04071-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Zhou, Hui</creatorcontrib><creatorcontrib>Ren, Huiqi</creatorcontrib><creatorcontrib>Xie, Quanmin</creatorcontrib><creatorcontrib>Zhang, Hongen</creatorcontrib><creatorcontrib>Fu, Qiang</creatorcontrib><creatorcontrib>Mu, Chaomin</creatorcontrib><title>Dynamic Mechanical Properties and Constitutive Model of Coal Rock Under Direct Tension</title><title>Rock mechanics and rock engineering</title><addtitle>Rock Mech Rock Eng</addtitle><description>As one of the hotspots in rock mechanics research, coal rock’s dynamic tensile properties are crucial to the parameter selection of blasting engineering, mechanism studies of rock burst disasters, and stability control. The stress states of coal rock during indirect tension with Brazilian splitting and direct tension with split Hopkinson tensile bar (SHTB) were compared using numerical simulations, revealing the superiority of the direct-tension test. On this basis, systematic dynamic direct-tension tests of coal rock under the strain rates (124 to 247 s
−1
) were carried out utilizing the improved SHTB, and quasi-static tensile tests were performed for comparison. The results reveal that the connection mode of using high-strength adhesive paste specimens and gradient reinforcement with steel wire mesh is reliable for SHTB tests. However, the stress equilibrium is no longer satisfied if the strain rate exceeds 300 s
−1
, and the layered fracture of the specimen will occur. With an increase in strain rate, the dynamic elastic modulus increases linearly, the dynamic tensile strength tends to increase as an exponential function, and the dynamic increase factor (DIF) tends to increase linearly in two stages. The DIF grows slowly once the strain rate is over 180 s
−1
and the dynamic ultimate tensile strength of the coal rock lies around 8 MPa. Finally, based on the improved Zhu–Wang–Tang (ZWT) model and the introduction of dynamic damage factor, the unified damage constitutive equation that can describe the strain rate effect under dynamic tension of coal rock is constructed. Moreover, the rationality of the constitutive parameter value is verified.
Highlights
Superiority of direct tension test over Brazilian disk tensile test is revealed
Functional relationship between tensile DIF and strain rate of coal rock isobtained
Unified damage constitutive model of coal rock under dynamic tension isconstructed</description><subject>Adhesive strength</subject><subject>Blasting</subject><subject>Civil Engineering</subject><subject>Coal</subject><subject>Constitutive equations</subject><subject>Constitutive models</subject><subject>Constitutive relationships</subject><subject>Control stability</subject><subject>Damage</subject><subject>Disasters</subject><subject>Dynamic mechanical properties</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Exponential functions</subject><subject>Geophysics/Geodesy</subject><subject>Mechanical properties</subject><subject>Modulus of elasticity</subject><subject>Original Paper</subject><subject>Parameters</subject><subject>Rock</subject><subject>Rock mechanics</subject><subject>Rockbursts</subject><subject>Rocks</subject><subject>Steel wire</subject><subject>Storage modulus</subject><subject>Strain</subject><subject>Strain rate</subject><subject>Tensile properties</subject><subject>Tensile strength</subject><subject>Tensile tests</subject><subject>Tension</subject><subject>Tension tests</subject><subject>Ultimate tensile strength</subject><subject>Wire cloth</subject><subject>Wire ropes</subject><issn>0723-2632</issn><issn>1434-453X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kN1KAzEQhYMoWKsv4FXA69XZZDfZvZT6Cy2KtOhd2CazmtomNdkKfRufxSczuoJ3Xg3M-c6Z4RBynMNpDiDPIoAAngErMihA5pnYIYO84EVWlPxplwxAMp4xwdk-OYhxAZBEWQ3I48XWNSur6QT1S-Osbpb0Pvg1hs5ipI0zdORd7Gy36ew70ok3uKS-TdtEPnj9SmfOYKAXNqDuPj-m6KL17pDstc0y4tHvHJLZ1eV0dJON765vR-fjTDOALjNQa95WAqv0J5gaW1nCHEUpEaVMkobKmKpgqLUpRK11NS-l5CYXvOR1wYfkpM9dB_-2wdiphd8El04qnjNgZcUZJIr1lA4-xoCtWge7asJW5aC-C1R9gSoVqH4KVCKZeG-KCXbPGP6i_3F9ASO8c8c</recordid><startdate>20241101</startdate><enddate>20241101</enddate><creator>Zhou, Hui</creator><creator>Ren, Huiqi</creator><creator>Xie, Quanmin</creator><creator>Zhang, Hongen</creator><creator>Fu, Qiang</creator><creator>Mu, Chaomin</creator><general>Springer Vienna</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TN</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H96</scope><scope>KR7</scope><scope>L.G</scope></search><sort><creationdate>20241101</creationdate><title>Dynamic Mechanical Properties and Constitutive Model of Coal Rock Under Direct Tension</title><author>Zhou, Hui ; Ren, Huiqi ; Xie, Quanmin ; Zhang, Hongen ; Fu, Qiang ; Mu, Chaomin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-d09c3f86e84530d9ef750be657ee77c3fc08dd842eccd469cc8b5773d16353943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Adhesive strength</topic><topic>Blasting</topic><topic>Civil Engineering</topic><topic>Coal</topic><topic>Constitutive equations</topic><topic>Constitutive models</topic><topic>Constitutive relationships</topic><topic>Control stability</topic><topic>Damage</topic><topic>Disasters</topic><topic>Dynamic mechanical properties</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Exponential functions</topic><topic>Geophysics/Geodesy</topic><topic>Mechanical properties</topic><topic>Modulus of elasticity</topic><topic>Original Paper</topic><topic>Parameters</topic><topic>Rock</topic><topic>Rock mechanics</topic><topic>Rockbursts</topic><topic>Rocks</topic><topic>Steel wire</topic><topic>Storage modulus</topic><topic>Strain</topic><topic>Strain rate</topic><topic>Tensile properties</topic><topic>Tensile strength</topic><topic>Tensile tests</topic><topic>Tension</topic><topic>Tension tests</topic><topic>Ultimate tensile strength</topic><topic>Wire cloth</topic><topic>Wire ropes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhou, Hui</creatorcontrib><creatorcontrib>Ren, Huiqi</creatorcontrib><creatorcontrib>Xie, Quanmin</creatorcontrib><creatorcontrib>Zhang, Hongen</creatorcontrib><creatorcontrib>Fu, Qiang</creatorcontrib><creatorcontrib>Mu, Chaomin</creatorcontrib><collection>CrossRef</collection><collection>Oceanic Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Rock mechanics and rock engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhou, Hui</au><au>Ren, Huiqi</au><au>Xie, Quanmin</au><au>Zhang, Hongen</au><au>Fu, Qiang</au><au>Mu, Chaomin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamic Mechanical Properties and Constitutive Model of Coal Rock Under Direct Tension</atitle><jtitle>Rock mechanics and rock engineering</jtitle><stitle>Rock Mech Rock Eng</stitle><date>2024-11-01</date><risdate>2024</risdate><volume>57</volume><issue>11</issue><spage>9231</spage><epage>9249</epage><pages>9231-9249</pages><issn>0723-2632</issn><eissn>1434-453X</eissn><abstract>As one of the hotspots in rock mechanics research, coal rock’s dynamic tensile properties are crucial to the parameter selection of blasting engineering, mechanism studies of rock burst disasters, and stability control. The stress states of coal rock during indirect tension with Brazilian splitting and direct tension with split Hopkinson tensile bar (SHTB) were compared using numerical simulations, revealing the superiority of the direct-tension test. On this basis, systematic dynamic direct-tension tests of coal rock under the strain rates (124 to 247 s
−1
) were carried out utilizing the improved SHTB, and quasi-static tensile tests were performed for comparison. The results reveal that the connection mode of using high-strength adhesive paste specimens and gradient reinforcement with steel wire mesh is reliable for SHTB tests. However, the stress equilibrium is no longer satisfied if the strain rate exceeds 300 s
−1
, and the layered fracture of the specimen will occur. With an increase in strain rate, the dynamic elastic modulus increases linearly, the dynamic tensile strength tends to increase as an exponential function, and the dynamic increase factor (DIF) tends to increase linearly in two stages. The DIF grows slowly once the strain rate is over 180 s
−1
and the dynamic ultimate tensile strength of the coal rock lies around 8 MPa. Finally, based on the improved Zhu–Wang–Tang (ZWT) model and the introduction of dynamic damage factor, the unified damage constitutive equation that can describe the strain rate effect under dynamic tension of coal rock is constructed. Moreover, the rationality of the constitutive parameter value is verified.
Highlights
Superiority of direct tension test over Brazilian disk tensile test is revealed
Functional relationship between tensile DIF and strain rate of coal rock isobtained
Unified damage constitutive model of coal rock under dynamic tension isconstructed</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00603-024-04071-6</doi><tpages>19</tpages></addata></record> |
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| source | SpringerNature Journals |
| subjects | Adhesive strength Blasting Civil Engineering Coal Constitutive equations Constitutive models Constitutive relationships Control stability Damage Disasters Dynamic mechanical properties Earth and Environmental Science Earth Sciences Exponential functions Geophysics/Geodesy Mechanical properties Modulus of elasticity Original Paper Parameters Rock Rock mechanics Rockbursts Rocks Steel wire Storage modulus Strain Strain rate Tensile properties Tensile strength Tensile tests Tension Tension tests Ultimate tensile strength Wire cloth Wire ropes |
| title | Dynamic Mechanical Properties and Constitutive Model of Coal Rock Under Direct Tension |
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