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Introduction to Continuum Mechanics for Engineers

Author: Ray M Bowen
Publisher: Boston, MA : Springer US, 1989.
Series: Mathematical concepts and methods in science and engineering, 39.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

This self-contained text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that  Read more...

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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ray M Bowen
ISBN: 9781468477610 1468477617
OCLC Number: 853269209
Description: 1 online resource (256 pages).
Contents: 1. One-Dimensional Continuum Mechanics --
1.1. Kinematics of Motion and Strain --
1.2. Balance of Mass --
1.3. Balance of Linear Momentum --
1.4. Balance of Energy --
1.5. General Balance --
1.6. The Entropy Inequality --
1.7. Example Constitutive Equations --
1.8. Thermodynamic Restrictions --
1.9. Small Departures from Thermodynamic Equilibrium --
1.10. Small Departures from Static Equilibrium --
1.11. Some Features of the Linear Model --
2. Kinematics of Motion --
2.1. Bodies and Deformations --
2.2. Velocity, Acceleration, and Deformation Gradients --
2.3. Transformation of Linear, Surface, and Volume Elements --
2.4. Strain Kinematics --
2.5. Infinitesimal Strain Kinematics --
References --
3. Equations of Balance --
3.1. Balance of Mass --
3.2. Balance of Linear Momentum --
3.3. Balance of Angular Momentum --
3.4. Balance of Energy --
3.5. The Entropy Inequality --
3.6. Jump Equations of Balance --
Material Versions --
References --
4. Models of Material Behavior --
4.1. Examples --
4.2. Isothermal Elasticity --
Thermodynamic Restrictions --
4.3. Isothermal Elasticity --
Material Frame Indifference --
4.4. Isothermal Elasticity --
Material Symmetry --
4.5. Incompressible Isothermal Elasticity --
4.6. Thermoelastic Material with Heat Conduction and Viscous Dissipation --
Constitutive Assumptions --
4.7. Thermoelastic Material with Heat Conduction and Viscous Dissipation --
General Thermodynamic Restrictions --
4.8. Thermoelastic Material with Heat Conduction and Viscous Dissipation --
Equilibrium Thermodynamic Restrictions --
4.9. Thermoelastic Material with Heat Conduction and Viscous Dissipation --
Material Frame Indifference --
4.10. Thermoelastic Material with Heat Conduction and Viscous Dissipation --
Material Symmetry --
4.11. Constitutive Equations for a Compressible, Conducting, Viscous Fluid --
4.12. Constitutive Equations for an Isotropic Linear Thermoelastic Solid with Heat Conduction --
References --
5. Materials with Internal State Variables --
5.1. Constitutive Assumptions and Thermodynamic Results --
5.2. Maxwell-Cattaneo Heat Conductor --
5.3. Maxwellian Materials --
5.4. Closing Remarks --
Alternate Forms of the Entropy Inequality --
References --
Appendix A. Mathematical Preliminaries --
A.1. Vector Spaces --
A.2. Linear Transformations --
A.3. Inner Product Spaces --
A.4. Components of Vectors and Linear Transformations --
A.5. Cross Products, Determinants, and the Polar Decomposition Theorem --
A.6. Multilinear Functionals and Tensor Algebra --
A.7. Euclidean Point Spaces, Coordinate Systems --
A.8. Vector Analysis --
Appendix B. Representation Theorems.
Series Title: Mathematical concepts and methods in science and engineering, 39.
Responsibility: by Ray M. Bowen.
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