Study thermo-hydro-mechanical coupling behaviors of saturated frozen soil based on granular solid hydrodynamics theory
Based on non-equilibrium thermodynamic theory and granular solid hydrodynamic (GSH), a thermodynamic constitutive model for saturated frozen soil is developed. According to continuum mechanics, mass, momentum, energy conservation equations are presented in which the water–ice phase transformation in...
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| Veröffentlicht in: | Archive of applied mechanics (1991) 2021, Vol.91 (9), p.3921-3936 |
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| creator | Zhang, Ge Liu, Enlong Zhang, Guike Chen, Yong |
| description | Based on non-equilibrium thermodynamic theory and granular solid hydrodynamic (GSH), a thermodynamic constitutive model for saturated frozen soil is developed. According to continuum mechanics, mass, momentum, energy conservation equations are presented in which the water–ice phase transformation in frozen soil is taken into consideration. By introducing the GSH theory concepts, the entropy balance and granular entropy equations of saturated frozen soil are built. The thermodynamic state variables describing mechanical field, temperature field and seepage field for saturated frozen soil are introduced. Combining energy conservation with thermodynamic state equations, the kinetic equations are given to build a fully coupled thermo-hydro-mechanical (THM) equations of saturated frozen soil. From the thermodynamic kinetic equations, the inelastic strain and total stress equations are formulated. The thermodynamic constitutive model for saturated frozen soil is proposed, based on non-equilibrium thermodynamic and granular solid hydrodynamic. A series of cryogenic triaxial tests at −6 °C on saturated frozen sandy soil under different confining pressures were conducted to verify the proposed thermodynamic constitutive model. Comparing experimental results with modeling results, the model predictions can agree well with the experimental data. Then the model parameters sensitivity discussions are given. |
| doi_str_mv | 10.1007/s00419-021-01987-1 |
| format | Article |
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According to continuum mechanics, mass, momentum, energy conservation equations are presented in which the water–ice phase transformation in frozen soil is taken into consideration. By introducing the GSH theory concepts, the entropy balance and granular entropy equations of saturated frozen soil are built. The thermodynamic state variables describing mechanical field, temperature field and seepage field for saturated frozen soil are introduced. Combining energy conservation with thermodynamic state equations, the kinetic equations are given to build a fully coupled thermo-hydro-mechanical (THM) equations of saturated frozen soil. From the thermodynamic kinetic equations, the inelastic strain and total stress equations are formulated. The thermodynamic constitutive model for saturated frozen soil is proposed, based on non-equilibrium thermodynamic and granular solid hydrodynamic. A series of cryogenic triaxial tests at −6 °C on saturated frozen sandy soil under different confining pressures were conducted to verify the proposed thermodynamic constitutive model. Comparing experimental results with modeling results, the model predictions can agree well with the experimental data. Then the model parameters sensitivity discussions are given.</description><identifier>ISSN: 0939-1533</identifier><identifier>EISSN: 1432-0681</identifier><identifier>DOI: 10.1007/s00419-021-01987-1</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical Mechanics ; Computational fluid dynamics ; Conservation equations ; Constitutive models ; Continuum mechanics ; Energy conservation ; Engineering ; Entropy ; Equations of state ; Fluid flow ; Frozen ground ; Hydrodynamics ; Kinetic equations ; Mathematical models ; Mechanics ; Nonequilibrium thermodynamics ; Original ; Parameter sensitivity ; Phase transitions ; Sandy soils ; Saturated soils ; Science & Technology ; Seepage ; Soil mechanics ; Technology ; Temperature distribution ; Theoretical and Applied Mechanics ; Thermodynamic equilibrium ; Triaxial tests</subject><ispartof>Archive of applied mechanics (1991), 2021, Vol.91 (9), p.3921-3936</ispartof><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021</rights><rights>The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>6</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000656420500003</woscitedreferencesoriginalsourcerecordid><citedby>FETCH-LOGICAL-c319t-50cb2e131754120421b1d5cd2c1d26b0c6cdb686cb5bfb3861fd799c10ea2bb23</citedby><cites>FETCH-LOGICAL-c319t-50cb2e131754120421b1d5cd2c1d26b0c6cdb686cb5bfb3861fd799c10ea2bb23</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/s00419-021-01987-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00419-021-01987-1$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Zhang, Ge</creatorcontrib><creatorcontrib>Liu, Enlong</creatorcontrib><creatorcontrib>Zhang, Guike</creatorcontrib><creatorcontrib>Chen, Yong</creatorcontrib><title>Study thermo-hydro-mechanical coupling behaviors of saturated frozen soil based on granular solid hydrodynamics theory</title><title>Archive of applied mechanics (1991)</title><addtitle>Arch Appl Mech</addtitle><addtitle>ARCH APPL MECH</addtitle><description>Based on non-equilibrium thermodynamic theory and granular solid hydrodynamic (GSH), a thermodynamic constitutive model for saturated frozen soil is developed. According to continuum mechanics, mass, momentum, energy conservation equations are presented in which the water–ice phase transformation in frozen soil is taken into consideration. By introducing the GSH theory concepts, the entropy balance and granular entropy equations of saturated frozen soil are built. The thermodynamic state variables describing mechanical field, temperature field and seepage field for saturated frozen soil are introduced. Combining energy conservation with thermodynamic state equations, the kinetic equations are given to build a fully coupled thermo-hydro-mechanical (THM) equations of saturated frozen soil. From the thermodynamic kinetic equations, the inelastic strain and total stress equations are formulated. The thermodynamic constitutive model for saturated frozen soil is proposed, based on non-equilibrium thermodynamic and granular solid hydrodynamic. A series of cryogenic triaxial tests at −6 °C on saturated frozen sandy soil under different confining pressures were conducted to verify the proposed thermodynamic constitutive model. Comparing experimental results with modeling results, the model predictions can agree well with the experimental data. Then the model parameters sensitivity discussions are given.</description><subject>Classical Mechanics</subject><subject>Computational fluid dynamics</subject><subject>Conservation equations</subject><subject>Constitutive models</subject><subject>Continuum mechanics</subject><subject>Energy conservation</subject><subject>Engineering</subject><subject>Entropy</subject><subject>Equations of state</subject><subject>Fluid flow</subject><subject>Frozen ground</subject><subject>Hydrodynamics</subject><subject>Kinetic equations</subject><subject>Mathematical models</subject><subject>Mechanics</subject><subject>Nonequilibrium thermodynamics</subject><subject>Original</subject><subject>Parameter sensitivity</subject><subject>Phase transitions</subject><subject>Sandy soils</subject><subject>Saturated soils</subject><subject>Science & Technology</subject><subject>Seepage</subject><subject>Soil mechanics</subject><subject>Technology</subject><subject>Temperature distribution</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thermodynamic equilibrium</subject><subject>Triaxial tests</subject><issn>0939-1533</issn><issn>1432-0681</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>HGBXW</sourceid><recordid>eNqNkM2KFDEURoMo2I6-gKuAS4nem1SqK0tpdBQGXKjrkL_qzlCdtEnVSPn0ZqZEd-Iq4XK-7yaHkJcIbxBg_7YCdKgYcGSAatgzfER22AnOoB_wMdmBEoqhFOIpeVbrLTRectiRuy_z4lc6n0I5Z3ZafcnsHNzJpOjMRF1eLlNMR2rDydzFXCrNI61mXoqZg6djyT9DojXHiVpT2yQneiwmLZMpbTxFTx9K_ZrMObp6vymX9Tl5Mpqphhe_zyvy7cP7r4eP7Obz9afDuxvmBKqZSXCWBxS4lx1y6Dha9NJ57tDz3oLrnbf90Dsr7WjF0OPo90o5hGC4tVxckVdb76Xk70uos77NS0ltpeZSqtYJamgU3yhXcq0ljPpS4tmUVSPoe79686ubX_3gV2MLDVvoR7B5rC6G5MKfYBPcy77jINsNxCHOZo45HfKS5hZ9_f_RRouNro1Ix1D-_uEfz_sFo7ShCw</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Zhang, Ge</creator><creator>Liu, Enlong</creator><creator>Zhang, Guike</creator><creator>Chen, Yong</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature</general><general>Springer Nature B.V</general><scope>BLEPL</scope><scope>DTL</scope><scope>HGBXW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2021</creationdate><title>Study thermo-hydro-mechanical coupling behaviors of saturated frozen soil based on granular solid hydrodynamics theory</title><author>Zhang, Ge ; Liu, Enlong ; Zhang, Guike ; Chen, Yong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-50cb2e131754120421b1d5cd2c1d26b0c6cdb686cb5bfb3861fd799c10ea2bb23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Classical Mechanics</topic><topic>Computational fluid dynamics</topic><topic>Conservation equations</topic><topic>Constitutive models</topic><topic>Continuum mechanics</topic><topic>Energy conservation</topic><topic>Engineering</topic><topic>Entropy</topic><topic>Equations of state</topic><topic>Fluid flow</topic><topic>Frozen ground</topic><topic>Hydrodynamics</topic><topic>Kinetic equations</topic><topic>Mathematical models</topic><topic>Mechanics</topic><topic>Nonequilibrium thermodynamics</topic><topic>Original</topic><topic>Parameter sensitivity</topic><topic>Phase transitions</topic><topic>Sandy soils</topic><topic>Saturated soils</topic><topic>Science & Technology</topic><topic>Seepage</topic><topic>Soil mechanics</topic><topic>Technology</topic><topic>Temperature distribution</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thermodynamic equilibrium</topic><topic>Triaxial tests</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Ge</creatorcontrib><creatorcontrib>Liu, Enlong</creatorcontrib><creatorcontrib>Zhang, Guike</creatorcontrib><creatorcontrib>Chen, Yong</creatorcontrib><collection>Web of Science Core Collection</collection><collection>Science Citation Index Expanded</collection><collection>Web of Science - Science Citation Index Expanded - 2021</collection><collection>CrossRef</collection><jtitle>Archive of applied mechanics (1991)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Ge</au><au>Liu, Enlong</au><au>Zhang, Guike</au><au>Chen, Yong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Study thermo-hydro-mechanical coupling behaviors of saturated frozen soil based on granular solid hydrodynamics theory</atitle><jtitle>Archive of applied mechanics (1991)</jtitle><stitle>Arch Appl Mech</stitle><stitle>ARCH APPL MECH</stitle><date>2021</date><risdate>2021</risdate><volume>91</volume><issue>9</issue><spage>3921</spage><epage>3936</epage><pages>3921-3936</pages><issn>0939-1533</issn><eissn>1432-0681</eissn><abstract>Based on non-equilibrium thermodynamic theory and granular solid hydrodynamic (GSH), a thermodynamic constitutive model for saturated frozen soil is developed. According to continuum mechanics, mass, momentum, energy conservation equations are presented in which the water–ice phase transformation in frozen soil is taken into consideration. By introducing the GSH theory concepts, the entropy balance and granular entropy equations of saturated frozen soil are built. The thermodynamic state variables describing mechanical field, temperature field and seepage field for saturated frozen soil are introduced. Combining energy conservation with thermodynamic state equations, the kinetic equations are given to build a fully coupled thermo-hydro-mechanical (THM) equations of saturated frozen soil. From the thermodynamic kinetic equations, the inelastic strain and total stress equations are formulated. The thermodynamic constitutive model for saturated frozen soil is proposed, based on non-equilibrium thermodynamic and granular solid hydrodynamic. A series of cryogenic triaxial tests at −6 °C on saturated frozen sandy soil under different confining pressures were conducted to verify the proposed thermodynamic constitutive model. Comparing experimental results with modeling results, the model predictions can agree well with the experimental data. Then the model parameters sensitivity discussions are given.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00419-021-01987-1</doi><tpages>16</tpages></addata></record> |
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| subjects | Classical Mechanics Computational fluid dynamics Conservation equations Constitutive models Continuum mechanics Energy conservation Engineering Entropy Equations of state Fluid flow Frozen ground Hydrodynamics Kinetic equations Mathematical models Mechanics Nonequilibrium thermodynamics Original Parameter sensitivity Phase transitions Sandy soils Saturated soils Science & Technology Seepage Soil mechanics Technology Temperature distribution Theoretical and Applied Mechanics Thermodynamic equilibrium Triaxial tests |
| title | Study thermo-hydro-mechanical coupling behaviors of saturated frozen soil based on granular solid hydrodynamics theory |
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