Continuum Mechanics for EngineersContinuum Mechanics for Engineers, Third Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. The impetus for this latest edition was the need to suitably combine the introduction of continuum mechanics, linear and nonlinear elasticity, and viscoelasticity for a graduate-leve |
Contents
Chapter 1 Continuum Theory | 1 |
Chapter 2 Essential Mathematics | 5 |
Chapter 3 Stress Principles | 53 |
Chapter 4 Kinematics of Deformation and Motion | 103 |
Chapter 5 Fundamentals Laws and Equations | 167 |
Chapter 6 Linear Elasticity | 211 |
Chapter 7 Classical Fluids | 271 |
Common terms and phrases
angle Answer arbitrary assumed axes Px1 axis base vectors behavior body forces boundary conditions Cartesian tensor Christoffel symbols compute constant constitutive equation continuum mechanics coordinate system defined deformation gradient deformation tensor determine differential displacement field dot product element entropy equilibrium equations Example expressed fluid given incompressible indices indicial notation infinitesimal integral invariant isotropic Kelvin Kronecker delta linear material derivative modulus Mohr’s circle obtain orthogonal particle plane strain plane stress principal axes principal directions principal values Problem reference configuration respect result rigid body motion rotation satisfied scalar second-order tensor shear stress shown in Fig solution spatial strain energy strain tensor stress components stress function stress tensor stress vector substitution superposed rigid body surface symmetric unit normal unit vector velocity field viscoelastic volume written zero