Contents -- Foreword -- Preface -- Chapter 1: Elements of the Linear Theory of Elasticity -- 1.01 Notation -- 1.02 Principle of Conservation of Energy -- 1.03 Hooke's Law -- 1.04 Constants of Elasticity -- 1.05 Uniqueness of Solutions -- 1.06 Variational Equation of Motion -- 1.07 Displacement-Equations of Motion -- Chapter 2: Solutions of the Three-Dimensional Equations -- 2.01 Introductory -- 2.02 Simple Thickness-Modes in an Infinite Plate -- 2.03 Simple Thickness-Modes in an Infinite, Isotropic Plate -- 2.04 Simple Thickness-Modes in an Infinite, Monoclinic Plate -- 2.05 Simple Thickness-Modes in an Infinite, Triclinic Plate -- 2.06 Plane Strain in an Isotropic Body -- 2.07 Equivoluminal Modes -- 2.08 Wave-Nature of Equivoluminal Modes -- 2.09 Infinite, Isotropic Plate Held between Smooth, Rigid Surfaces (Plane Strain) -- 2.10 Infinite, Isotropic Plate Held between Smooth, Elastic Surfaces (Plane Strain) -- 2.11 Coupled Dilatational and Equivoluminal Modes in an Infinite, Isotropic Plate with Free Faces (Plane Strain) -- 2.12 Three-Dimensional Coupled Dilatational and Equivoluminal Modes in an Infinite Isotropic Plate with Free Faces -- 2.13 Solutions in Cylindrical Coordinates -- 2.14 Additional Boundaries -- Chapter 3: Infinite Power Series of Two-Dimensional Equations -- 3.01 Introductory -- 3.02 Stress-Equations of Motion -- 3.03 Strain -- 3.04 Stress-Strain Relations -- 3.05 Strain-Energy and Kinetic Energy -- 3.06 Uniqueness of Solutions -- 3.07 Plane Tensors -- Chapter 4: Zero-Order Approximation -- 4.01 Separation of Zero-Order Terms from Series -- 4.02 Uniqueness of Solutions -- 4.03 Stress-Strain Relations -- 4.04 Displacement-Equations of Motion -- 4.05 Useful Range of Zero-Order Approximation -- Chapter 5: First-Order Approximation.

5.01 Separation of Zero- and First-Order Terms from Series -- 5.02 Adjustment of Upper Modes -- 5.03 Uniqueness of Solutions -- 5.04 Stress-Strain Relations -- 5.05 Stress-Displacement Relations -- 5.06 Displacement-Equations of Motion -- 5.07 Useful Range of First-Order Approximation -- Chapter 6: Intermediate Approximations -- 6.01 Introductory -- 6.02 Thickness-Shear, Thickness-Flexure and Face-Extension -- 6.03 Thickness-Shear and Thickness-Flexure -- 6.04 Classical Theory of Low-Frequency Vibrations of Thin Plates -- 6.05 Moderately-High-Frequency Vibrations of Thin Plates -- References -- Appendix Applications of the First-Order Approximation -- Biographical Sketch of R. D. Mindlin -- Students of R. D. Mindlin -- Presidential Medal for Merit -- National Medal of Science -- Handwritten Equations from the 1955 Monograph -- Index.