Some Basic Problems of the Mathematical Theory of Elasticity, Issue 1
Springer Science & Business Media, Apr 30, 1977 - Technology & Engineering - 732 pages
TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.
What people are saying - Write a review
We haven't found any reviews in the usual places.
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 ELA...
MULTIVALUED DISPLACEMENTS THERMAL STRESSES
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 ...
SOLUTION OF THE FUNDAMENTAL PROBLEMS FOR THE HALFPLANE AND FOR SEMIINFINITE 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 ...
THE PROBLEM OF LINEAR RELATIONSHIP
SOLUTION OF THE FUNDAMENTAL PROBLEMS FOR THE HALFPLANE AND FOR THE PLANE WITH STRAIGHT CUTS
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
SOLUTION OF BOUNDARY PROBLEMS FOR REGIONS BOUNDED BY CIRCLES AND FOR THE INFINITE PLANE CUT ALONG CIRCULAR ...
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 SAINTVENANT
TORSION OF BARS CONSISTING OF DIFFERENT MATERIALS
EXTENSION AND BENDING OF BARS CONSISTING OF DIFFERENT MATERIALS WITH UNIFORM POISSONS RATIO
EXTENSION AND BENDING FOR DIFFERENT POISSONS RATIOS
Other editions - View all
Some Basic Problems of the Mathematical Theory of Elasticity
Limited preview - 2013
analogous applied arbitrary constant assumed axes body forces boundary condition boundary problems boundary value bounded circle circular coefficients conformal mapping considered const continuous coordinates corresponding D. I. Sherman deduced definite deformation denoted determined disc displacements dx dy easily seen easily verified elastic body elliptic example expression external forces external stresses fact finds finite formulae Fredholm equations function F(z given H condition half-plane hence hole holomorphic function holomorphic inside infinite regions integral equations likewise multiply connected normal notation Note obtained obviously plane theory plate point at infinity Poisson's ratios positive direction preceding quadratic form quantities rational function resultant vector right-hand side satisfies the H second fundamental problem simply connected single-valued solved stamp stress components tensor theorem theory of elasticity torsion transformation upper half-plane vanish at infinity whence zero