By Morton E. Gurtin
Read or Download On the Thermodynamics of Elastic Materials and of Reacting Fluid Mixtures: Course Held at the Department of Mechanics of Solids June 1971 PDF
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Extra resources for On the Thermodynamics of Elastic Materials and of Reacting Fluid Mixtures: Course Held at the Department of Mechanics of Solids June 1971
Example text
1). 14), 0. 15) Thus our notion of a strong equilibrium state is somewhat weaker than the standard definition. 11). With a view toward determining the behaviour of the response functions near equilibrium, we first determinesome of the more obvious consequences of isotropy. First of all there exist scalar functions p ~ Ce, e) such that Chap. 17) is an equilibrium state, then, clearly, = (k) = (()z) = 0 ae. ft' = t. 1), w~ call l<: the conductivity and rix. pll the momentum supply ~t is of importance in applications.
21) . o (h'"po = 0. 5). for all vectors a, 'W' 1 , ••• ,'btN. 22). 20) we have the following important result. Corollary. 21); it asserts that near a strong equilibrium state to within 2 terms of O(ls-s 01) q depends linearly on grad 9 and i1. 1\J Corollary. Let s 0 be a strong equilibrium state. 5. 30) 40 Chap. 2 - Mixtures where q = q(s) . 2), e,ci, ... Cc1e, ... (e,e,cH ... 5. 4), the vectors = (ch ... ,cw) and 1 N both lie on planes in R of dimension N -1. ;i=(rt-H ... N) We assume that the mapping .....
On the thermodynamics of chemically fluid mixtures, Arch. Rational Mech. Anal. 43, 198-212. Gurtin, M. E. and A. S. Vargas, On the classical theory of fluid mixtures, Arch. Rational Mech. Anal. 43, 179-197. 45 CONTENTS Page Preface.................................... Introduction..................................... 5 Mechanics of Mixtures •••••••••••••• Thermodynamics of Mixtures ••••••••• Constitutive Relations ••••••••••••• Consequences of the Second Law ••••• Results near Equilibrium ••••••••••• 16 21 24 27 33 References•••••••••••••••••••••••••••••••••• ••• 43 Contents...................................
