Continuum mechanics and thermodynamics : from fundamental concepts to governing equations

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Heida, On the derivation of thermodynamically consistent boundary conditions for the Cahn—Hilliard—Navier—Stokes system. Heida, J. Herschel, R. Colloid Polym. Horgan, J.

Concept of Continuum in Thermodynamics

Murphy, Constitutive models for almost incompressible isotropic elastic rubber-like materials. Horgan, G. Saccomandi, Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility.

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Hron, K. Rajagopal, K. Huilgol, On the definition of pressure in rheology. Humphrey, K. Rajagopal, A constrained mixture model for growth and remodeling of soft tissues. Models Methods Appl. AIP Conf. Joule, On the existence of an equivalent relation between heat and the ordinary forms of mechanical power.

Joule, On the mechanical equivalent of heat. Karato, P.

Continuum mechanics and themodynamics

Wu, Rheology of the upper mantle: a synthesis. Science , — Karra, K. Rajagopal, Development of three dimensional constitutive theories based on lower dimensional experimental data. Rajagopal, A thermodynamic framework to develop rate-type models for fluids without instantaneous elasticity. Acta Mech. Rajagopal, Shear flows of a new class of power-law fluids.

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Friedlander, D. Serre Elsevier, Amsterdam, , pp. Rajagopal, Generalizations of the Navier—Stokes fluid from a new perspective. Non-Linear Mech. Pavement Eng. Malkin, A. Isayev, Rheology: Concepts, Methods and Applications , 2nd edn.

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Matsuhisa, R. Bird, Analytical and numerical solutions for laminar flow of the non-Newtonian Ellis fluid. AIChE J.

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Paris 6 , — Google Scholar. Noll, A mathematical theory of the mechanical behavior of continuous media. Oldroyd, On the formulation of rheological equations of state. Olmsted, Perspectives on shear banding in complex fluids. Pettit, E. Waddington, Ice flow at low deviatoric stress.

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    Rajagopal, On implicit constitutive theories for fluids. Rajagopal, On a hierarchy of approximate models for flows of incompressible fluids through porous solids. Srinivasa, A thermodynamic frame work for rate type fluid models. Srinivasa, On thermomechanical restrictions of continua. A Math. Srinivasa, On the thermodynamics of fluids defined by implicit constitutive relations. Srinivasa, A Gibbs-potential-based formulation for obtaining the response functions for a class of viscoelastic materials. Rajagopal, L. Tao, Mechanics of Mixtures.

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    Serrin, On the stability of viscous fluid motions. Sisko, The flow of lubricating greases. Squires, S. Quake, Microfluidics: fluid physics at the nanoliter scale. Tanner, K. Walters, Rheology: An Historical Perspective. Rheology Series, vol. Truesdell, W. Noll, The non-linear field theories of mechanics, in Handbuch der Physik , ed. Truesdell, K. Rajagopal, An introduction to the Mechanics of Fluids.

    Truesdell, R. Toupin, The classical field theories, in Handbuch der Physik , ed. Kinematics of deformation; 4. Mechanical conservation and balance laws; 5. Thermodynamics; 6.

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    Constitutive relations; 7. Boundary-value problems, energy principles and stability; 8. Universal equilibrium solutions; 9. Numerical solutions: the finite element method; Approximate solutions: reduction to the engineering theories; Further reading; Appendices; Index.

    Continuum mechanics

    Customer Reviews Average Review. See All Customer Reviews. Shop Textbooks. Read an excerpt of this book! Add to Wishlist. USD Sign in to Purchase Instantly. Temporarily Out of Stock Online Please check back later for updated availability. Overview Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. About the Author Ellad B. Show More. Table of Contents 1. Average Review.