NDLI: Classical results for a non-classical theory: remarks on thermodynamic relations in Green

Content Provider	Springer Nature Link
Author	Bargmann, Swantje Steinmann, Paul
Copyright Year	2007
Abstract	In this contribution we first investigate the thermodynamic’s relation between the entropy flux H and the heat flux Q in the non-classical theory of Green and Naghdi imposed by the entropy equality used in their approach. We show that the classical assumption entropy flux = heat flux/absolute temperature holds for isotropic materials by exploiting the entropy principle of Müller and Liu. As opposed to the usual procedure, we formulate the balance laws with respect to the material description. Subsequently, further restrictions are obtained by exploiting the entropy principle as suggested by Green and Naghdi (in Proc. R. Soc. Lond. 432, 171–194, 1991). This yields the classical potential relations between the entropy and the free energy and between the second Piola-Kirchhoff stress tensor and the free energy.
Ending Page	66
Page Count	8
Starting Page	59
File Format	PDF
ISSN	09351175
e-ISSN	14320959
Journal	Continuum Mechanics and Thermodynamics
Issue Number	1-2
Volume Number	19
Language	English
Publisher	Springer-Verlag
Publisher Date	2007-05-08
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics, Fluids, Thermodynamics Gradient theory Piola-Kirchhoff stress tensor Engineering Thermodynamics, Transport Phenomena Entropy flux Structural Materials Theoretical and Applied Mechanics Müller–Liu entropy principle Heat flux
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A thermo-mechanical continuum theory with internal length for cohesionless granular materials : Part I. A class of constitutive models

A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material : I. On thermodynamically consistent evolution

Application of the Müller–Liu entropy principle to gradient-damage models in the thermo-elastic case

On energy and entropy inflows in the theory of heat conduction

On the Thermodynamics of Korteweg Fluids with Heat Conduction and Viscosity

A Revised Exposition of the Green–Naghdi Theory of Heat Propagation

On the Müller paradox for thermal-incompressible media

On the equilibrium response of different modeling approaches for the porosity variation in dry granular matter

On the Convexity of Nonlinear Elastic Energies in the Right Cauchy-Green Tensor

Classical results for a non-classical theory: remarks on thermodynamic relations in Green–Naghdi thermo-hyperelasticity

Similar Documents

A thermo-mechanical continuum theory with internal length for cohesionless granular materials : Part I. A class of constitutive models

A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material : I. On thermodynamically consistent evolution

Application of the Müller–Liu entropy principle to gradient-damage models in the thermo-elastic case

On energy and entropy inflows in the theory of heat conduction

On the Thermodynamics of Korteweg Fluids with Heat Conduction and Viscosity

A Revised Exposition of the Green–Naghdi Theory of Heat Propagation

On the Müller paradox for thermal-incompressible media

On the equilibrium response of different modeling approaches for the porosity variation in dry granular matter

On the Convexity of Nonlinear Elastic Energies in the Right Cauchy-Green Tensor

Classical results for a non-classical theory: remarks on thermodynamic relations in Green–Naghdi thermo-hyperelasticity