Enhanced descriptions from Syndetics:

The second edition of this popular text continues to provide a solid, fundamental introduction to the mathematics, laws, and applications of continuum mechanics. With the addition of three new chapters and eight new sections to existing chapters, the authors now provide even better coverage of continuum mechanics basics and focus even more attention on its applications.

Beginning with the basic mathematical tools needed-including matrix methods and the algebra and calculus of Cartesian tensors-the authors develop the principles of stress, strain, and motion and derive the fundamental physical laws relating to continuity, energy, and momentum. With this basis established, they move to their expanded treatment of applications, including linear and nonlinear elasticity, fluids, and linear viscoelasticity

Mastering the contents of Continuum Mechanics: Second Edition provides the reader with the foundation necessary to be a skilled user of today's advanced design tools, such as sophisticated simulation programs that use nonlinear kinematics and a variety of constitutive relationships. With its ample illustrations and exercises, it offers the ideal self-study vehicle for practicing engineers and an excellent introductory text for advanced engineering students.

Table of contents provided by Syndetics

• 1 Continuum Theory
• 1.1 The Continuum Concept (p. 1)
• 1.2 Continuum Mechanics (p. 2)
• 2 Essential Mathematics
• 2.1 Scalars, Vectors, and Cartesian Tensors (p. 3)
• 2.2 Tensor Algebra in Symbolic Notation -- Summation Convention (p. 4)
• 2.3 Indicial Notation (p. 13)
• 2.4 Matrices and Determinants (p. 16)
• 2.5 Transformations of Cartesian Tensors (p. 22)
• 2.6 Principal Values and Principal Directions of Symmetric Second-Order Tensors (p. 28)
• 2.7 Tensor Fields, Tensor Calculus (p. 34)
• 2.8 Integral Theorems of Gauss and Stokes (p. 36)
• Problems (p. 37)
• 3 Stress Principles
• 3.1 Body and Surface Forces, Mass Density (p. 47)
• 3.2 Cauchy Stress Principle (p. 48)
• 3.3 The Stress Tensor (p. 51)
• 3.4 Force and Moment Equilibrium, Stress Tensor Symmetry (p. 57)
• 3.5 Stress Transformation Laws (p. 59)
• 3.6 Principal Stresses, Principal Stress Directions (p. 62)
• 3.7 Maximum and Minimum Stress Values (p. 70)
• 3.8 Mohr's Circles for Stress (p. 73)
• 3.9 Plane Stress (p. 80)
• 3.10 Deviator and Spherical Stress States (p. 85)
• 3.11 Octahedral Shear Stress (p. 87)
• Problems (p. 89)
• 4 Kinematics of Deformation and Motion
• 4.1 Particles, Configurations, Deformation, and Motion (p. 103)
• 4.2 Material and Spatial Coordinates (p. 104)
• 4.3 Lagrangian and Eulerian Descriptions (p. 109)
• 4.4 The Displacement Field (p. 111)
• 4.5 The Material Derivative (p. 113)
• 4.6 Deformation Gradients, Finite Strain Tensors (p. 116)
• 4.7 Infinitesimal Deformation Theory (p. 122)
• 4.8 Stretch Ratios (p. 131)
• 4.9 Rotation Tensor, Stretch Tensors (p. 136)
• 4.10 Velocity Gradient, Rate of Deformation, Vorticity (p. 140)
• 4.11 Material Derivative of Line Elements, Areas, Volumes (p. 146)
• Problems (p. 149)
• 5 Fundamental Laws and Equations
• 5.1 Balance Laws, Field Equations, Constitutive Equations (p. 169)
• 5.2 Material Derivatives of Line, Surface, and Volume Integrals (p. 170)
• 5.3 Conservation of Mass, Continuity Equation (p. 172)
• 5.4 Linear Momentum Principle, Equations of Motion (p. 175)
• 5.5 The Piola-Kirchhoff Stress Tensors, Lagrangian Equations of Motion (p. 176)
• 5.6 Moment of Momentum (Angular Momentum) Principle (p. 181)
• 5.7 Law of Conservation of Energy, The Energy Equation (p. 182)
• 5.8 Entropy and the Clausius-Duhem Equation (p. 186)
• 5.9 Restrictions on Elastic Materials by the Second Law of Thermodynamics (p. 190)
• 5.10 Invariance (p. 194)
• 5.11 Restrictions on Constitutive Equations from Invariance (p. 204)
• 5.12 Constitutive Equations (p. 207)
• References (p. 210)
• Problems (p. 210)
• 6 Linear Elasticity
• 6.1 Elasticity, Hooke's Law, Strain Energy (p. 219)
• 6.2 Hooke's Law for Isotropic Media, Elastic Constants (p. 224)
• 6.3 Elastic Symmetry; Hooke's Law for Anisotropic Media (p. 230)
• 6.4 Isotropic Elastostatics and Elastodynamics, Superposition Principle (p. 235)
• 6.5 Plane Elasticity (p. 238)
• 6.6 Linear Thermoelasticity (p. 242)
• 6.7 Airy Stress Function (p. 244)
• 6.8 Torsion (p. 256)
• 6.9 Three-Dimensional Elasticity (p. 264)
• Problems (p. 273)
• 7 Classical Fluids
• 7.1 Viscous Stress Tensor, Stokesian, and Newtonian Fluids (p. 285)
• 7.2 Basic Equations of Viscous Flow, Navier-Stokes Equations (p. 288)
• 7.3 Specialized Fluids (p. 290)
• 7.4 Steady Flow, Irrotational Flow, Potential Flow (p. 291)
• 7.5 The Bernoulli Equation, Kelvin's Theorem (p. 295)
• Problems (p. 296)
• 8 Nonlinear Elasticity
• 8.1 Molecular Approach to Rubber Elasticity (p. 301)
• 8.2 A Strain Energy Theory for Nonlinear Elasticity (p. 309)
• 8.3 Specific Forms of the Strain Energy (p. 314)
• 8.4 Exact Solution for an Incompressible, Neo-Hookean Material (p. 316)
• References (p. 324)
• Problems (p. 324)
• 9 Linear Viscoelasticity
• 9.1 Introduction (p. 329)
• 9.2 Viscoelastic Constitutive Equations in Linear Differential Operator Form (p. 330)
• 9.3 One-Dimensional Theory, Mechanical Models (p. 332)
• 9.4 Creep and Relaxation (p. 336)
• 9.5 Superposition Principle, Hereditary Integrals (p. 342)
• 9.6 Harmonic Loadings, Complex Modulus, and Complex Compliance (p. 344)
• 9.7 Three-Dimensional Problems, The Correspondence Principle (p. 350)
• References (p. 357)
• Problems (p. 358)
• Index (p. 373)