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

Publication ,  Journal Article
Porporato, A; Calabrese, S; Hueckel, T
Published in: Entropy (Basel, Switzerland)
March 2019

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.

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Published In

Entropy (Basel, Switzerland)

DOI

EISSN

1099-4300

ISSN

1099-4300

Publication Date

March 2019

Volume

21

Issue

3

Start / End Page

E295

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Porporato, A., Calabrese, S., & Hueckel, T. (2019). Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress. Entropy (Basel, Switzerland), 21(3), E295. https://doi.org/10.3390/e21030295
Porporato, Amilcare, Salvatore Calabrese, and Tomasz Hueckel. “Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress.Entropy (Basel, Switzerland) 21, no. 3 (March 2019): E295. https://doi.org/10.3390/e21030295.
Porporato A, Calabrese S, Hueckel T. Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress. Entropy (Basel, Switzerland). 2019 Mar;21(3):E295.
Porporato, Amilcare, et al. “Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress.Entropy (Basel, Switzerland), vol. 21, no. 3, Mar. 2019, p. E295. Epmc, doi:10.3390/e21030295.
Porporato A, Calabrese S, Hueckel T. Thermodynamic Relations among Isotropic Material Properties in Conditions of Plane Shear Stress. Entropy (Basel, Switzerland). 2019 Mar;21(3):E295.

Published In

Entropy (Basel, Switzerland)

DOI

EISSN

1099-4300

ISSN

1099-4300

Publication Date

March 2019

Volume

21

Issue

3

Start / End Page

E295

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences