Fundamental Equations of the Mechanics of an Elastic Body.- Analysis of Stress.- Analysis of Strain.- The Fundamental Law of the Theory of Elasticity. The Basic Equations.- General Formulae of the Plane Theory of Elasticity.- Basic Equations of the Plane Theory of Elasticity.- Stress Function. Complex Representation of the General Solution of the Equations of the Plane Theory of Elasticity.- Multi-Valued Displacements. Thermal Stresses.- Transformation of the Basic Formulae for Conformal Mapping.- Solution of Several Problems of the Plane Theory of Elasticity by Means of Power Series.- On Fourier Series.- Solution for Regions, Bounded by a Circle.- The Circular Ring.- Application of Conformal Mapping.- On Cauchy Integrals.- Fundamental Properties of Cauchy Integrals.- Boundary Values of Holomorphic Functions.- Application of Cauchy Integrals to the Solution of Boundary Problems of Plane Elasticity.- General Solution of the Fundamental Problems for Regions Bounded by One Contour.- Solution of the Fundamental Problems for Regions Mapped on to a Circle by Rational Functions. Extension to Approximate Solution for Regions of General Shape.- Solution of the Fundamental Problems for the Half-Plane and for Semi-Infinite Regions.- Some General Methods of Solution of Boundary Value Problems. Generalizations.- Solution of the Boundary Problems of the Plane Theory of Elasticity by Reduction to the Problem of Linear Relationship.- The Problem of Linear Relationship.- Solution of the Fundamental Problems for the Half-Plane and for the Plane with Straight Cuts.- Solution of Boundary Problems for Regions, Bounded by Circles, and for the Infinite Plane, Cut Along Circular Arcs.- Solution of the Boundary Problems for Regions, Mapped on to the Circle by Rational Functions.- Extension, Torsion and Bending of Homogeneous and Compound Bars.- Torsion and Bending of Homogeneous Bars (Problem of Saint-Venant).- Torsion of Bars Consisting of Different Materials.- Extension and Bending of Bars, Consisting of Different Materials with Uniform Poisson's Ratio.- Extension and Bending for Different Poisson's Ratios.
