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" Thermodynamics of simple materials with fading memory. "
W A Day
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BL
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| Record Number
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752121
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b572080
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| Main Entry
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W A Day
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| Title & Author
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Thermodynamics of simple materials with fading memory.\ W A Day
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| Publication Statement
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[Place of publication not identified] : Springer, 2012
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| ISBN
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3642653189
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: 9783642653186
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| Contents
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1 Preliminaries.- 1.1 Vector and Tensor Analysis.- 1.2 Paths and Line Integrals.- 1.3 Kinematics and the Balance Laws.- 1.4 Simple Materials with Memory.- 2 A Theory of Thermodynamics.- 2.1 Processes.- 2.2 The Thermodynamic Inequality.- 2.3 Heat Conduction Inequalities.- 2.4 The Conversion of Heat into Mechanical Work.- 3 The Construction of the Entropy.- 3.1 The Clausius Inequality.- 3.2 Fading Memory.- 3.3 The Entropy in Equilibrium. Thermostatics.- 3.4 The Entropy away from Equilibrium. The Clausius-Planck Inequality.- 4 Applications.- 4.1 Thermoelasticity and Materials of Differential Type.- 4.2 A Class of Viscoelastic Materials.- 5 Thermodynamics based on the Clausius-Duhem Inequality.- 5.1 The Clausius-Duhem Inequality.- 5.2 Materials of the Differential Type.- 5.3 Materials with Fading Memory and Instantaneous Elastic Response.- 5.4 Behaviour near Equilibrium.- 5.5 The Internal Energy as an Independent Variable.- 6 Thermodynamic Restrictions on Isothermal Linear Viscoelasticity.- 6.1 Compatibility with Thermodynamics. Dissipative Relaxation Functions.- 6.2 The Symmetry of the Relaxation Function.- 6.3 A Remark on the Monotonicity of Relaxation Functions.- References.
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W A Day
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