Author | Day, William Alan. author |
---|---|
Title | The Thermodynamics of Simple Materials with Fading Memory [electronic resource] / by William Alan Day |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1972 |
Connect to | http://dx.doi.org/10.1007/978-3-642-65318-6 |
Descript | X, 136 p. online resource |
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