Thermoelastic models of continua
著者
書誌事項
Thermoelastic models of continua
（Solid mechanics and its applications, v. 118）
Kluwer Academic Publishers, c2004
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注記
Includes bibliographical references (p. 277-296) and index
内容説明・目次
内容説明
This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies.
Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text.
The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
目次
Introduction. 1: Thermoelastic Materials with Voids. 1.1. Preliminaries. The Laws of Thermodynamics. 1.2. Constitutive Equations. Thermodynamic Restrictions. 1.3. Boundary-Initial-Value Problems. 1.4. Continuous Data Dependence and Uniqueness Results. 1.5. The Linear Theory. 2: Dynamic Theory. 2.1. Uniqueness Results. 2.2. Reciprocal Theorem. Applications. 2.3. Homogeneous and Isotropic Bodies. 2.4. Acceleration Waves. 2.5. Harmonic Waves. 2.6. Concentrated Loads. 2.7. Radiation Conditions. 2.8. Potentials. 3: Equilibrium Theory. 3.1. Thermoelastic States. 3.2. The Thermoelastic Plane Strain. 3.3. Exercises. 4: Prestressed Thermoelastic Bodies. 4.1. Equations of Perturbed Motion. 4.2. An Existence Result. 5: Thermoelastic Cosserat Continua. 5.1. The Linear Theory of Micropolar Thermoelasticity. 5.2. Thermoelastic Processes. Boundary-Initial-Value Problem. 5.3. Reciprocity. Existence and Uniqueness Results. 5.4. Variational Theorem. 5.5. Homogeneous and Isotropic Solids. Plane Waves. 5.6. A Representation of Galerkin Type. Fundamental Solutions. 5.7. Transient Waves. 5.8. Plane Strain Problem. 5.9. Bending of Micropolar Thermoelastic Plates. 5.10. A Generalized Theory of Micropolar Thermoelasticity. 6: Thermoelastostatics of Micropolar Bodies. 6.1. Boundary Value Problems. Basic Theorems. 6.2. Special Results for Homogeneous and Isotropic Bodies. 6.3. The Equilibrium Plane Problems. 6.4. Exercises. 6.5. Thermal Stresses in Beams. 6.6. Cylinders Composed of Different Materials. 7: Nonsimple Materials. 7.1. The Nonlinear Thermoelasticity. 7.2. Uniqueness and Continuous Dependence results. 7.3. Linear Theories. 7.4. Isotropic Bodies. 7.5. A Grade Consistent Theory of Micropolar Thermoelasticity. References. Index.
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