Classical Continuum Mechanics
by Karan S. Surana
2nd Edition
Publisher: CRC Press
Book Details
| Print ISBN | 9780367612962 |
| eText ISBN | 9781000512342 |
| Publisher | CRC Press |
| Publishing Year | 2022 |
| Edition | 2nd Edition |
| Language | English |
| Pages | 532 |
Classical Continuum Mechanics, 2nd Edition, provides the mathematical foundations and complete derivations for constitutive theories of continuous media. The book covers both compressible and incompressible solid and fluent continua.
Author Karan S. Surana distinguishes clearly between Lagrangian and Eulerian descriptions while addressing covariant and contravariant bases. The text introduces tensor calculus in curvilinear coordinates before specializing to Cartesian systems, establishing kinematics, stress measures, and balance laws.
Progressing steadily from basic principles to advanced topics, the work is designed for self-study and aims to prepare graduate students for fundamental research in science and engineering disciplines.
Table of Contents
Chapter 1: Introduction
Chapter 2: Concepts and Mathematical Preliminaries
Chapter 3: Kinematics of Motion, Deformation and their Measures
Chapter 4: Definitions and Measures of Stresses
Chapter 5: Rate of Deformation, Area, Volume, Strain Rate Tensors, Spin Tensor and Convected Time Derivatives of Stress and Strain Tensors
Chapter 6: Conservation and Balance Laws in Eulerian Description
Chapter 7: Conservation and Balance Laws in Langragian Description
Chapter 8: General considerations in the constitutive theories for solids and fluids
Chapter 9: Constitutive theories for thermoelastic solids
Chapter 10: Ordered Rate Constitutive Theories for Thermoviscoelastic Solids without Memory
Chapter 11: Ordered Rate Constitutive Theories for Thermoviscoelastic Solids with Memory
Chapter 12: Ordered Rate Constitutive Theories for Thermofluids
Chapter 13: Ordered Rate Constitutive Theories for Thermoviscoelastic Fluids
Chapter 14: Mathematical Models with Thermodynamic Relations
Chapter 15: Calculus of variations, energy methods and principle of virtual work
Chapter 16: Advanced Topics
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