Entropy 2011, 13(11), 1904-1915; doi:10.3390/e13111904
Article

Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics

* email and email
Received: 5 September 2011; in revised form: 20 October 2011 / Accepted: 25 October 2011 / Published: 26 October 2011
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: Within the thermodynamic framework with internal variables, the classical Hamilton’s principle for elastic bodies is extended to inelastic bodies composed of materials whose free energy densities are point functions of internal variables, or the so‑termed Green-inelastic bodies, subject to finite deformation and non-conservative external forces. Yet this general result holds true even without the Green-inelasticity presumption under a more general interpretation of the infinitesimal internal rearrangement. Three special cases are discussed following the generalized form: (a) the Green-elastic bodies whose free energy can be identified with the strain energy; (b) the Green-inelastic bodies composed of materials compliant with the additive decomposition of strain; and (c) the Green-inelastic bodies undergoing isothermal relaxation processes where the thermodynamic forces conjugate to internal variables, or the so-termed internal forces prove to be potential forces. This paper can be viewed as an extension of Yang et al. [1].
Keywords: Hamilton’s principle; inelastic body; internal variable; internal force
PDF Full-text Download PDF Full-Text [106 KB, Updated Version, uploaded 1 November 2011 17:05 CET]
The original version is still available [106 KB, uploaded 26 October 2011 13:57 CEST]

Export to BibTeX |
EndNote


MDPI and ACS Style

Leng, K.-D.; Yang, Q. Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics. Entropy 2011, 13, 1904-1915.

AMA Style

Leng K-D, Yang Q. Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics. Entropy. 2011; 13(11):1904-1915.

Chicago/Turabian Style

Leng, Kuang-Dai; Yang, Qiang. 2011. "Generalized Hamilton’s Principle for Inelastic Bodies Within Non-Equilibrium Thermodynamics." Entropy 13, no. 11: 1904-1915.


Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert