Manual of the Theory of Elasticity, by V.G. Rekach

An introduction to problems in the theory of elasticity. You can download the book by clicking here. Contents are as follows:

  • Notation
  • Chapter I Theory of Stress
    • I. Static and Dynamic Equilibrium Equations
    • II. Surface Conditions
    • III. State of Stress at a Point
    • Problems
  • Chapter 2 Theory of Strain
    • I. Strain Equations in Orthogonal Co-ordinates
    • II. State of Strain at a Point
    • III. Cesaro’s Formulas
    • Problems
  • Chapter 3 Basic Equations of the Theory of Elasticity and Their Solution for Special Cases
    • I. Orthogonal Curvilinear Coordinates
    • II .Rectangular Coordinates
    • III. Cylindrical Coordinates
    • IV. Spherical Coordinates
    • Problems.
  • Chapter 4 General Solutions of the Basic Equations of the Theory of Elasti­city. Solution of Three-dimensional Problems
    • I. Harmonic Equation (Laplace’s)
    • II. Biharmonic Equation
    • III. Boundary Value Problems for the Harmonic and Biharmonic Equations
      IV. Various Forms of the General Solutions of Lame’s Equations
    • Problems
  • Chapter 5 Plane Problem in Rectangular Coordinates
    • I. Plane Stress
    • II. Plane Strain
    • III. Solution of Basic Equations
    • Problems
  • Chapter 6 Plane Problem in Polar Coordinates
  • I. Plane Stress
    • II. Plane Strain
    • III. Solution of Basic Equations
    • Problems
  • Chapter 7 Torsion of Prismatic and Cylindrical Bars
    • I. Pure Torsion of Bars of Constant Section
    • II. Pure Torsion of Circular Bars (Shafts) of Variable Section
    • Problems
  • Chapter 8 Thermal Problem
    • I. Steady-state Thermal Process
    • II. Transient Thermal Process
    • Problems
  • Chapter 9 Contact Problem
    • I. The Action of Punches on an Elastic Half-Plane
    • II. The Action of Punches on an Elastic Half-Space
    • III. Contact Between Two Elastic Bodies
    • Problems
  • Chapter 10 Dynamic Problem
    • I. Simple Harmonic Motion
    • II. Propagation of Volume Waves in an Elastic Isotropic Medium
    • III. Wave Propagation Over the Surface of an Elastic Body
    • IV. Excitation of Elastic Waves by Body Forces
    • V. Deformation of Solids Under Centrifugal Forces
    • VI. Plane Dynamic Problems
    • VII. Thermodynamic Problem
  • References
  • Author Index
  • Subject Index

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