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E-raamat: Internal Variables in Thermoelasticity

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This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a materials reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables.





The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.
1 Instead of Introduction
1(20)
Part I Internal Variables in Thermomechanics
2 Introduction
21(14)
3 Thermomechanical Single Internal Variable Theory
35(24)
4 Dual Internal Variables
59(16)
Part II Dispersive Elastic Waves in One Dimension
5 Internal Variables and Microinertia
75(10)
6 Dispersive Elastic Waves
85(14)
7 One-Dimensional Microelasticity
99(14)
8 Influence of Nonlinearity
113(10)
Part III Thermal Effects
9 The Role of Heterogeneity in Heat Pulse Propagation in a Solid with Inner Structure
123(8)
10 Heat Conduction in Microstructured Solids
131(16)
11 One-Dimensional Thermoelasticity with Dual Internal Variables
147(16)
12 Influence of Microstructure on Thermoelastic Wave Propagation
163(12)
Part IV Weakly Nonlocal Thermoelasticity for Microstructured Solids
13 Microdeformation and Microtemperature
175(16)
Summary 191(2)
Appendix A Sketch of Thermostatics 193(8)
Appendix B Finite-Volume Numerical Algorithm 201(18)
Index 219