عنوان

Thermodynamics of simple materials with fading memory.

3642653189

9783642653186

b572080

Thermodynamics of simple materials with fading memory.

[Book]

W A Day

[Place of publication not identified]

Springer

2012

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.

W A Day

W A Day

[Book]

Y