Research Catalog

Title

Theory of elasticity and plasticity.

Author

Westergaard, Harold Malcolm, 1888-1950.

Publication

Cambridge, Harvard University Press, 1952.

Items in the Library & Off-site

Details

Description

176 pages illustrations; 22 cm

Series Statement

Harvard monographs in applied science ; no. 3

Uniform Title

Harvard monographs in applied science ; no. 3.

Subject

• Elasticity
• Plasticity
• modulus of elasticity
• elasticity
• plasticity
• Elastizität
• Plastizität
• Practice Guideline
• Élasticité
• Plasticité

Bibliography (note)

• Includes bibliographical references.

Contents

• SCOPE: Elasticity and plasticity -- Homogencity -- Isotropy -- Theory and experiments -- Relation to "mechanics of materials," "structural mechanics," and "soil mechanics" -- One-, two-, and three-dimensional problems of elasticity -- HISTORICAL NOTES: Works on the history -- Origins, 1636-1820 -- Period of the founding of the three-dimensional theory of elasticity, 1820-1830 -- Period of the classics, 1830-1900 -- Books since 1900 -- Trends since 1900 -- Two examples of experimentation -- The strangely late discovery of the shear center in beams -- Stress functions, strain functions, and analogies -- Use of principles of minimum energy -- Photoelasticity -- Bending of slabs or plates -- Instability, buckling, and stabilization by load -- Theory of plasticity -- Deformation method in structural mechanics, and the methods of successive approximation by moment distribution and relaxation -- Analysis of an arch dam as an example of a satisfactory solution of a complex problem by imperfect methods -- STRESS: Notation for stress -- Uniform state of stress -- Uniform plane state of stress -- The dyadic circle -- Extension to certain problems of a three-dimensional state of stress -- Note on vectors -- Uniform three-dimensional state of stress -- Stress tensor -- Principal stresses and Lame's stress ellipsoid -- Shearing stresses -- Mohr's circles -- Mohr's hypotheses on limits of stress -- Octahedral stress -- Stress deviations -- Direction of the octahedral stress -- Stress quadric and two additional surfaces that represent the stress tensor -- Differential equations of equilibrium of a nonuniform state of stress -- STRAIN, HOOKE'S LAW, THE BASIC EQUATION OF ELASTICITY, AND THE SIMPLEST POSSIBLE LAWS OF PLASTICITY: Displacement, strain, and detrusion -- Hooke's law -- Vector strain, analysis of strains as if they were stresses, and the strain tensor -- Determination of strain tensor from measured strains -- Note on Laplace's operator -- The basic differential equation of elasticity and the principle of superposition -- Love's notation and Lame's constants -- The special case in which Poisson's ration is 1/2 -- Plane state of stress in a plate -- Compatibility of strains and detrusions -- Cylindrical coordinates -- Octahedral strain -- Plastic strain deviations and plastic detrusions -- The simplest conceivable laws of plasticity -- Comments on departures from the simplest laws of plasticity --
• STRAIN POTENTIAL AND APPLICATIONS TO HOLLOW CYLINDERS AND SPHERES, INERTIA FORCES, AND THERMAL STRESSES: Strain potential -- Lame's formulas for stresses in hollow cylinders; example of stress concentration -- Lame's formulas for stresses in hollow spheres -- Disk with circumferential shear at inner and outer concentric circular edges -- Resultant force on surface of revolution when stresses are symmetric about axis -- Two examples -- Body forces -- Circular disk rotating about its axis of revolution -- Thermal stresses -- Examples of thermal stresses -- GALERKIN VECTORS, TWINNED GRADIENT, AND APPLICATIONS INCLUDING EFFECTS OF A SINGLE FORCE: Galerkin vector -- Relation to the strain potential -- Gakerkin vector when Poisson's ratio is 1/2 -- The Galerkin vactor supplies a general solution of the basic equation of elasticity -- Equivalent Galerkin vectors -- Note on harmonic and biharmonic functions -- Galerkin vector kZ and Love's strain function for solids of revolution -- Example of a vertical load on the horizontal surface of an extended solid -- Kelvin's problem of a single force applied in the interior of an extended solid -- Kelvin's problem when Poisson's ratio is 1/2 -- Boussineq's problem of a normal force and Cerruti's of a tangential force on the plane surface of a semi-infinite solid when Poisson's ratio is 1/2 -- The twinned gradient and its application to determine the effects of a change of Poisson's ratio -- Boussineq's problem when Poisson's ratio has any value -- Mindlin's proble, part II: horizontal force applied at some distance below the horizontal surface of a semi-infinite solid -- Thick disck rotating about its axis of revolution -- Strain potential and Love's strain function in polar coordinates -- Stress concentration at a small spherical hole -- Deflections of the surface of a semi-infinite solid under various normal loads -- Pressures transmitted between two solids with smoothly curved surfaces through a small area of contact.

LCCN

52006348

OCLC

• ocm01245619
• 1245619
• SCSB-388264

Owning Institutions

Princeton University Library