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Continuum Thermomechanics [...
This book is intended to be an extension of Gurtins book on continuum mech- ics [5] by including the laws of thermodynamics and thus making it possible to study the mechanical behaviour of material bodies, the response of which involves variables such as entropy or temperature. In order to do that our departure point is Coleman and Nolls article [3] on the thermodynamics of elastic materials with heat conduction and viscosity which has been extended for the purpose at hand to the case of nonhomogeneous materials. The present book has been used for many years as a textbook for gra- ate and undergraduate mathematics students at the University of Santiago de Compostela. The ?rst Chapter revisits the conservation principles of continuum ther- mechanics,thatis,theconservationofmass,linearandangularmomentumbalance and the ?rst two principles of thermodynamics: namely, energy conservation and entropy inequality. All principles are introduced in integral form and in Eulerian coordinates. Local forms consisting of partial di?erential equations are then - tained. Writing these local equations in Lagrangian coordinates is the subject of Chapter 2. Chapter 3 deals with the constitutive laws of continuum thermomechanics. First the notion of a material body characterised by its constitutive class is given
Monografía
monografia Rebiun02422493 https://catalogo.rebiun.org/rebiun/record/Rebiun02422493 cr nn 008mamaa 100301s2005 sz | s |||| 0|eng d 9783764373832 978-3-7643-7383-2 10.1007/3-7643-7383-0 doi UPVA 996884317903706 UAM 991007838731704211 CUNEF 991000429223408131 UR0300024 CBUC 991008395279706706 NoBUC-cargaSpringer. SpMaUCSC PHU bicssc SCI040000 bisacsh Castro, Alfredo Bermúdez. author Continuum Thermomechanics Recurso electrónico] by Alfredo Bermúdez Castro XII, 209 p. online resource XII, 209 p. Progress in Mathematical Physics 43 General Definitions, Conservation Laws -- Lagrangian Coordinates -- Constitutive Laws -- The Principle of Material Frame-Indifference -- Replacing Entropy with Temperature -- Isotropy -- Equations in Lagrangian Coordinates -- Linearized Models -- Quasi-static Thermoelasticity -- Fluids -- Linearized Models for Fluids, Acoustics -- Perfect Gases -- Incompressible Fluids -- Turbulent Flow of Incompressible Newtonian Fluids -- Mixtures of Coleman-Noll Fluids -- Chemical Reactions in a Stirred Tank -- Chemical Equilibrium of a Reacting Mixture of Perfect Gases in a Stirred Tank -- Flow of a Mixture of Reacting Perfect Gases -- The Method of Mixture Fractions -- Turbulent Flow of Reacting Mixtures of Perfect Gases, The PDF Method Acceso restringido a usuarios UCM = Restricted use for UCM patrons This book is intended to be an extension of Gurtins book on continuum mech- ics [5] by including the laws of thermodynamics and thus making it possible to study the mechanical behaviour of material bodies, the response of which involves variables such as entropy or temperature. In order to do that our departure point is Coleman and Nolls article [3] on the thermodynamics of elastic materials with heat conduction and viscosity which has been extended for the purpose at hand to the case of nonhomogeneous materials. The present book has been used for many years as a textbook for gra- ate and undergraduate mathematics students at the University of Santiago de Compostela. The ?rst Chapter revisits the conservation principles of continuum ther- mechanics,thatis,theconservationofmass,linearandangularmomentumbalance and the ?rst two principles of thermodynamics: namely, energy conservation and entropy inequality. All principles are introduced in integral form and in Eulerian coordinates. Local forms consisting of partial di?erential equations are then - tained. Writing these local equations in Lagrangian coordinates is the subject of Chapter 2. Chapter 3 deals with the constitutive laws of continuum thermomechanics. First the notion of a material body characterised by its constitutive class is given Springer Books