Variational-Lagrangian irreversible thermodynamics of nonlinear thermorheology
نویسندگان
چکیده
منابع مشابه
Generalized Lagrangian Thermodynamics of Thermorheology
The thermodynamic principle of virtual dissipation is given a formulation with variations of the field components freed from any constraints. Application of the principle and the introduction of a new state variable called heat content leads to the integro-differential field equations of thermorheology. Rigorous Lagrangian equations are also obtained which avoid the use of the entropy produced ...
متن کاملVariational-lagrangian Irreversible Thermodynamics of Initially-stressed Solids with Thermomolecular Diffusion and Chemical Reactions
A GENERAL principle of virtual dissipation in irreversible thermodynamics is applied to a solid under initial stress with small non-isothermal incremental deformations and coupled thermomolecular diffusion and chemical reactions. Dynamical field and Lagrangian equations are obtained directly by variational procedures. In addition, the treatment embodies new fundamental concepts and methods in t...
متن کاملNew Variational-Lagrangian Irreversible Thermodynamics with Application to Viscous Flow, Reaction-Diffusion, and Solid Mechanics
XVIII. XIX. Introduction ........................................ Restructured Thermodynamics of Open Systems and the Concept of Thermobaric Transfer. ................................. New Chemical Thermodynamics .......................... Homogeneous Mixtures and Reformulation of the Gibbs-Duhem Theorem .......................................... Nontensorial Virtual Work Approach to Finite Str...
متن کاملNew Variational Irreversible Thermodynamics of Open Physical-Chemical Continua
An outline is presented of a new thermodynamics of open chemical systems combined with a principle of virtual dissipation which provides a unified approach in a large domain of continuum physics, including deformable solids and fluid mixtures.
متن کاملVariational-lagrangian Thermodynamics of Evolution of Collective Chemical Systems
New concepts in thermodynamics are further extended and combined with a principle of virtual dissipation to provide general equations of evolution of collective open chemical systems. A new definition of the chemical potential is introduced, and some new expressions for the affinity are discussed. Application of the principle of virtual dissipation leads very simply to quite general continuum f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1976
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/462245