| Preface | p. ix |
| Introduction | p. 1 |
| Matrices | p. 2 |
| Vectors | p. 6 |
| Summation Convention | p. 12 |
| Cartesian Tensors | p. 13 |
| Polar Decomposition Theorem | p. 25 |
| D'Alembert's Principle | p. 27 |
| Virtual Work Principle | p. 34 |
| Approximation Methods | p. 37 |
| Discrete Equations | p. 40 |
| Momentum, Work, and Energy | p. 43 |
| Parameter Change and Coordinate Transformation | p. 45 |
| Problems | p. 48 |
| Kinematics | p. 51 |
| Motion Description | p. 52 |
| Strain Components | p. 60 |
| Other Deformation Measures | p. 67 |
| Decomposition of Displacement | p. 69 |
| Velocity and Acceleration | p. 71 |
| Coordinate Transformation | p. 75 |
| Objectivity | p. 82 |
| Change of Volume and Area | p. 85 |
| Continuity Equation | p. 89 |
| Reynolds' Transport Theorem | p. 90 |
| Examples of Deformation | p. 92 |
| Problems | p. 100 |
| Forces and Stresses | p. 103 |
| Equilibrium of Forces | p. 103 |
| Transformation of Stresses | p. 106 |
| Equations of Equilibrium | p. 107 |
| Symmetry of the Cauchy Stress Tensor | p. 109 |
| Virtual Work of the Forces | p. 111 |
| Deviatoric Stresses | p. 120 |
| Stress Objectivity | p. 123 |
| Energy Balance | p. 127 |
| Problems | p. 129 |
| Constitutive Equations | p. 131 |
| Generalized Hooke's Law | p. 132 |
| Anisotropic Linearly Elastic Materials | p. 134 |
| Material Symmetry | p. 135 |
| Homogeneous Isotropic Material | p. 137 |
| Principal Strain Invariants | p. 144 |
| Special Material Models for Large Deformations | p. 146 |
| Linear Viscoelasticity | p. 150 |
| Nonlinear Viscoelasticity | p. 164 |
| A Simple Viscoelastic Model for Isotropic Materials | p. 171 |
| Fluid Constitutive Equations | p. 173 |
| Navier-Stokes Equations | p. 174 |
| Problems | p. 175 |
| Plasticity Formulations | p. 177 |
| One-Dimensional Problem | p. 179 |
| Loading and Unloading Conditions | p. 180 |
| Solution of the Plasticity Equations | p. 181 |
| Generalization of the Plasticity Theory: Small Strains | p. 190 |
| J[subscript 2] Flow Theory with Isotropic/Kinematic Hardening | p. 197 |
| Nonlinear Formulation for Hyperelastic-Plastic Materials | p. 214 |
| Hyperelastic-Plastic J[subscript 2] Flow Theory | p. 225 |
| Problems | p. 230 |
| Finite Element Formulation: Large-Deformation, Large-Rotation Problem | p. 231 |
| Displacement Field | p. 233 |
| Element Connectivity | p. 240 |
| Inertia and Elastic Forces | p. 243 |
| Equations of Motion | p. 246 |
| Numerical Evaluation of the Elastic Forces | p. 250 |
| Finite Elements and Geometry | p. 256 |
| Two-Dimensional Euler-Bernoulli Beam Element | p. 263 |
| Two-Dimensional Shear Deformable Beam Element | p. 267 |
| Three-Dimensional Cable Element | p. 269 |
| Three-Dimensional Beam Element | p. 270 |
| Thin-Plate Element | p. 272 |
| Higher-Order Plate Element | p. 274 |
| Element Performance | p. 275 |
| Other Finite Element Formulations | p. 280 |
| Updated Lagrangian and Eulerian Formulations | p. 282 |
| Problems | p. 284 |
| Finite Element Formulation: Small-Deformation, Large-Rotation Problem | p. 286 |
| Background | p. 287 |
| Rotation and Angular Velocity | p. 291 |
| Floating Frame of Reference | p. 296 |
| Intermediate Element Coordinate System | p. 297 |
| Connectivity and Reference Conditions | p. 300 |
| Kinematic Equations | p. 306 |
| Formulation of the Inertia Forces | p. 307 |
| Elastic Forces | p. 311 |
| Equations of Motion | p. 313 |
| Coordinate Reduction | p. 314 |
| Integration of Finite Element and Multibody System Algorithms | p. 317 |
| Problems | p. 319 |
| References | p. 321 |
| Index | p. 327 |
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