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Article

Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress

1
Department of Civil and Environmental Engineering and Princeton Environmental Institute, Princeton University, Princeton, NJ 08544, USA
2
Department of Civil and Environmental Engineering, Duke University, Durham, NC 27708, USA
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(3), 295; https://doi.org/10.3390/e21030295
Received: 31 December 2018 / Revised: 9 March 2019 / Accepted: 16 March 2019 / Published: 19 March 2019
(This article belongs to the Section Thermodynamics)
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. View Full-Text
Keywords: material properties; thermodynamics; thermodynamic transformations; extended Gibbs free energy; plane shear; dilatancy material properties; thermodynamics; thermodynamic transformations; extended Gibbs free energy; plane shear; dilatancy
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MDPI and ACS Style

Porporato, A.; Calabrese, S.; Hueckel, T. Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress. Entropy 2019, 21, 295. https://doi.org/10.3390/e21030295

AMA Style

Porporato A, Calabrese S, Hueckel T. Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress. Entropy. 2019; 21(3):295. https://doi.org/10.3390/e21030295

Chicago/Turabian Style

Porporato, Amilcare, Salvatore Calabrese, and Tomasz Hueckel. 2019. "Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress" Entropy 21, no. 3: 295. https://doi.org/10.3390/e21030295

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