Thermodynamic relations among isotropic material properties in conditions of plane shear stress

Amilcare Michele M. Porporato, Salvatore Calabrese, Tomasz Hueckel

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish (US)
Article number295
Issue number3
StatePublished - Mar 1 2019

All Science Journal Classification (ASJC) codes

  • Information Systems
  • General Physics and Astronomy
  • Electrical and Electronic Engineering
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)


  • Dilatancy
  • Extended Gibbs free energy
  • Material properties
  • Plane shear
  • Thermodynamic transformations
  • Thermodynamics


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