Non-local Thermoelasticity Based on Equilibrium Statistical Thermodynamics

• Published in: Journal of elasticity Vol. 139; no. 1; pp. 37 - 59
• Main Authors: Po, Giacomo, Admal, Nikhil Chandra, Svendsen, Bob
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2020
• Subjects: Automotive Engineering; Classical Mechanics; Physics; Physics and Astronomy; Statistical thermodynamics; Spatial non-locality; Atomistic thermoelasticity; 74A15; Higher-order deformation gradient thermoelasticity; 74A25; Quasi-harmonic approximation; Canonical ensemble; 74A20; 74A30

The purpose of this work is the formulation of energetic constitutive relations for thermoelasticity of non-simple materials based on atomistic considerations and equilibrium statistical thermodynamics (EST). In particular, both (unrestricted) canonical, and (restricted) quasi-harmonic, formulations...