A Treatise on the Mathematical Theory of Elasticity (Dover Books on Engineering)

Most complete treatment of classical elasticity in a single volume. Coverage of stress, strain, bending, torsion, gravitational effects Analysis Of Strain -- Analysis Of Stress -- The Elasticity Of Solid Bodies -- The Relation Between The Mathematical Theory Of Elasticity And Technical Mechanics -- The Equilibrium Of Isotropic Elastic Solids -- Equilibrium Of Eolotropic Elastic Solid Bodies -- General Theorems -- The Transmission Of Force -- Two-dimensional Elastic Systems -- Theory Of The Integration Of The Equations Of Equilibrium Of An Isotropic Elastic Solid Body -- The Equilibrium Of An Elastic Sphere And Related Problems -- Vibrations Of Spheres And Cylinders -- The Propagation Of Waves In Elastic Solid Media -- Torsion -- The Bending Of A Beam By Terminal Transverse Load -- The Bending Of A Beam Loaded Uniformity Along Its Length -- The Theory Of Continuous Beams -- General Theory Of The Bending And Twisting Of Thin Rods -- Problems Concerning The Equilibrium Of Thin Rods -- Vibrations Of Rods, Problems Of Dynamical Resistance -- Small Deofrmation Of Naturally Curved Rods -- The Stretching And Bending Of Plates -- Inextensional Deformation Of Curved Plates Or Shells -- General Theory Of Thin Plates And Shells -- Equilibrium Of Thin Plates And Shells. By A.e.h. Love. First Edition, 1892, 1893 ... Fourth Edition, 1927. First American Printing 1944. Bibliographical Footnotes. An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover. Combining a wealth of practical applications with a thorough, rigorous discussion of fundamentals, this work is recognized as the bible on elasticity for mathematicians andphysicists as well as mechanical, civil, and aeronautical engineers. Topics range fromthe analysis of strain and stress tothe elasticity of solid bodies,including a wide range of practical material. 1927 edition. This Dover edition, first published in 1944 and reissued in 2011, is an unabridged replication of the fourth (1927) edition of the work, originally published by Cambridge University Press in 1892.