The Elastic Coefficients of Double-Porosity Materials: A Revisit
A strain-based constitutive model, i.e., the mixed stiffness formulation, is presented for a double-porosity material, and coefficients in these linear constitutive equations are identified. All six coefficients are determined by performing properly arranged thought experiments. Three long-time test...
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Veröffentlicht in: | Transport in porous media 2016-02, Vol.111 (3), p.555-571 |
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description | A strain-based constitutive model, i.e., the mixed stiffness formulation, is presented for a double-porosity material, and coefficients in these linear constitutive equations are identified. All six coefficients are determined by performing properly arranged thought experiments. Three long-time tests are first considered to obtain three independent equations. After that, an experiment to isolate the matrix material from the fracture behavior is performed to provide another four relations. Finally, a case in the long-time limit is considered to identify one of the off-diagonal coefficients in the formulation. In addition, as an example of application of the mixed stiffness formulation, the Navier- type equations are derived for wave propagation problems in double-porosity materials by reformulating the governing equations of some researchers. |
doi_str_mv | 10.1007/s11242-015-0611-9 |
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All six coefficients are determined by performing properly arranged thought experiments. Three long-time tests are first considered to obtain three independent equations. After that, an experiment to isolate the matrix material from the fracture behavior is performed to provide another four relations. Finally, a case in the long-time limit is considered to identify one of the off-diagonal coefficients in the formulation. In addition, as an example of application of the mixed stiffness formulation, the Navier- type equations are derived for wave propagation problems in double-porosity materials by reformulating the governing equations of some researchers.</description><identifier>ISSN: 0169-3913</identifier><identifier>EISSN: 1573-1634</identifier><identifier>DOI: 10.1007/s11242-015-0611-9</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Civil Engineering ; Classical and Continuum Physics ; Coefficients ; Constitutive equations ; Constitutive models ; Constitutive relationships ; Earth and Environmental Science ; Earth Sciences ; Fluid flow ; Fracture mechanics ; Geotechnical Engineering & Applied Earth Sciences ; Hydrogeology ; Hydrology/Water Resources ; Industrial Chemistry/Chemical Engineering ; Mathematical analysis ; Mathematical models ; Porosity ; Porous media ; Stiffness ; Strain ; Wave propagation</subject><ispartof>Transport in porous media, 2016-02, Vol.111 (3), p.555-571</ispartof><rights>Springer Science+Business Media Dordrecht 2015</rights><rights>Transport in Porous Media is a copyright of Springer, (2015). 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All six coefficients are determined by performing properly arranged thought experiments. Three long-time tests are first considered to obtain three independent equations. After that, an experiment to isolate the matrix material from the fracture behavior is performed to provide another four relations. Finally, a case in the long-time limit is considered to identify one of the off-diagonal coefficients in the formulation. In addition, as an example of application of the mixed stiffness formulation, the Navier- type equations are derived for wave propagation problems in double-porosity materials by reformulating the governing equations of some researchers.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11242-015-0611-9</doi><tpages>17</tpages></addata></record> |
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subjects | Civil Engineering Classical and Continuum Physics Coefficients Constitutive equations Constitutive models Constitutive relationships Earth and Environmental Science Earth Sciences Fluid flow Fracture mechanics Geotechnical Engineering & Applied Earth Sciences Hydrogeology Hydrology/Water Resources Industrial Chemistry/Chemical Engineering Mathematical analysis Mathematical models Porosity Porous media Stiffness Strain Wave propagation |
title | The Elastic Coefficients of Double-Porosity Materials: A Revisit |
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