Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress
We present new general relationships among the material properties of an isotropic material kept in homogeneous stress conditions with hydrostatic pressure and plane shear. The derivation is not limited to the proximity of the zero shear-stress and -strain condition, which allows us to identify the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/21/3/295 |
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| author | Amilcare Porporato Salvatore Calabrese Tomasz Hueckel |
| author_facet | Amilcare Porporato Salvatore Calabrese Tomasz Hueckel |
| author_sort | Amilcare Porporato |
| collection | DOAJ |
| description | We present new general relationships among the material properties of an isotropic material kept in homogeneous stress conditions with hydrostatic pressure and plane shear. The derivation is not limited to the proximity of the zero shear-stress and -strain condition, which allows us to identify the relationship between adiabatic and isothermal shear compliances (inverse of the moduli of rigidity) along with new links, among others, between isobaric and isochoric shear thermal expansion coefficients and heat capacities at constant stress and constant shear strain. Such relationships are important for a variety of applications, including the determination of constitutive equations, the characterization of nanomaterials, and the identification of properties related to earthquakes precursors and complex media (e.g., soil) behavior. The results may be useful to investigate the behavior of materials during phase transitions involving shear or in non-homogeneous conditions within a local thermodynamic equilibrium framework. |
| first_indexed | 2024-04-11T21:57:18Z |
| format | Article |
| id | doaj.art-12b5753b43e04a88ab88584f47162bc3 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T21:57:18Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-12b5753b43e04a88ab88584f47162bc32022-12-22T04:01:03ZengMDPI AGEntropy1099-43002019-03-0121329510.3390/e21030295e21030295Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear StressAmilcare Porporato0Salvatore Calabrese1Tomasz Hueckel2Department of Civil and Environmental Engineering and Princeton Environmental Institute, Princeton University, Princeton, NJ 08544, USADepartment of Civil and Environmental Engineering and Princeton Environmental Institute, Princeton University, Princeton, NJ 08544, USADepartment of Civil and Environmental Engineering, Duke University, Durham, NC 27708, USAWe present new general relationships among the material properties of an isotropic material kept in homogeneous stress conditions with hydrostatic pressure and plane shear. The derivation is not limited to the proximity of the zero shear-stress and -strain condition, which allows us to identify the relationship between adiabatic and isothermal shear compliances (inverse of the moduli of rigidity) along with new links, among others, between isobaric and isochoric shear thermal expansion coefficients and heat capacities at constant stress and constant shear strain. Such relationships are important for a variety of applications, including the determination of constitutive equations, the characterization of nanomaterials, and the identification of properties related to earthquakes precursors and complex media (e.g., soil) behavior. The results may be useful to investigate the behavior of materials during phase transitions involving shear or in non-homogeneous conditions within a local thermodynamic equilibrium framework.http://www.mdpi.com/1099-4300/21/3/295material propertiesthermodynamicsthermodynamic transformationsextended Gibbs free energyplane sheardilatancy |
| spellingShingle | Amilcare Porporato Salvatore Calabrese Tomasz Hueckel Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress Entropy material properties thermodynamics thermodynamic transformations extended Gibbs free energy plane shear dilatancy |
| title | Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress |
| title_full | Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress |
| title_fullStr | Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress |
| title_full_unstemmed | Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress |
| title_short | Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress |
| title_sort | thermodynamic relations among isotropic material properties in conditions of plane shear stress |
| topic | material properties thermodynamics thermodynamic transformations extended Gibbs free energy plane shear dilatancy |
| url | http://www.mdpi.com/1099-4300/21/3/295 |
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