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Wednesday, October 14, 2020 | History

4 edition of Mathematical theory in periodic plane elasticity found in the catalog.

Mathematical theory in periodic plane elasticity

by Hai-Tao Cai

  • 131 Want to read
  • 28 Currently reading

Published by Gordon and Breach Science publishers in Amsterdam, The Netherlands .
Written in English

    Subjects:
  • Periodic functions.,
  • Differential equations.,
  • Elasticity -- Mathematics.

  • Edition Notes

    Includes bibliographical references (p. 147-151) and index.

    StatementHai-Tao Cai and Jian-Ke Lu.
    SeriesAsian mathematics series ;, v. 4
    ContributionsLu, Jian-Ke.
    Classifications
    LC ClassificationsQA353.P4 C35 2000
    The Physical Object
    Paginationxi, 153 p. :
    Number of Pages153
    ID Numbers
    Open LibraryOL3630113M
    ISBN 109056992422
    LC Control Number2002421794
    OCLC/WorldCa43633182

    The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications.   Originally published in , as the fourth edition of a title first published in two volumes in and , this is Love's classic account of the mathematical theory of elasticity. The text.

    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 . A number of new solutions are given for an axisymmetric contact problem of the theory of elasticity. The book should be regarded as a division of the mathematical theory of elasticity, since it is devoted to the solution of basic contact problems of the theory of by:

    UDC 3 INVERSE PROBLEMS OF THE PLANE THEORY OF ELASTICITY PMMVol,?6. , pp. G. P. CHEREPANOV (Moscow) (Received Decem ) In connection with the fact that failure of a structure ordinarily starts at sites of the most acute stress concentrations near cavitiies, it is of interest to determine the shape of the equally strong Cited by: A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the : Tianyou Fan.


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Mathematical theory in periodic plane elasticity by Hai-Tao Cai Download PDF EPUB FB2

Mathematical Theory in Periodic Plane Elasticity - CRC Press Book Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables.

The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. Book Description. Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables.

The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables, this title proposes that the most general formulations of such problems are proposed under Read more.

Description. Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables.

The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Summary: "Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables.

The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Then, the normal traction, shear traction and interfacial gap can be directly determined by the Green's function of the periodic collinear crack.

In the case of frictionless purely normal contact, the new approach is applied to two classic problems, namely, the Westergaard problem (sinusoidal waviness punch) and the periodic flat-end punch by: 5.

Mathematical theory in periodic plane elasticity By Hai-Tao Cai and Jian-Ke Lu Topics: Other Fields of PhysicsAuthor: Hai-Tao Cai and Jian-Ke Lu. Books Lover Its a First Edition () & the most Important thing is that its a 2nd Volume with total pages count.

But the Book's latest & also the last edition is 4th edition so don't download this heavy memory size preserved for historical interest textbook. Elasticity: Theory and Applications reviews the theory and applications of elasticity.

The book is divided into three parts. The first part is concerned with the kinematics of continuous media; the second part focuses on the analysis of stress; and the third part considers the theory of elasticity and its applications to engineering problems.

Some Basic Problems of the Mathematical Theory of Elasticity Fundamental Equations Plane Theory of Elasticity Torsion and Bending.

Authors Search within book. Front Matter. Pages I-XXXI. PDF. Solution of the Boundary Problems of the Plane Theory of Elasticity by Reduction to the Problem of Linear Relationship.

Front Matter. : ELASTICITY Springer has just published the third edition of my book `Elasticity'. It contains four new chapters and additional end-of-chapter problems. See below for the Table of Contents and the Preface.

A sample chapter can be downloaded here. For purchasing information or to request inspection copies, click here. A treatise on the mathematical theory of elasticity of this book is rather to present a connected account of the theory in its present state, and an indication of the way in which Solutions for the plane.

Bons­ sinesq's theory of local perturbations. Solutions for the sphere. Tidal effective rigidity of the earth. Wangerin's theory for Cited by: For a long time the nonlinear theory was ignored/forgotten. A.E.H. Love, Treatise on linear elasticity 's R. Rivlin, Exact solutions in incompressible nonlinear elasticity (rubber) Nonlinear theory clarified by J.L.

Ericksen, C. Truesdell -- Mathematical developments, applications to materials, biology 7. The Mathematical Theory of Elasticity covers plane stress and plane strain in the isotropic medium, holes and fillets of assignable shapes, approximate conformal mapping, reinforcement of holes, mixed boundary value problems, the third fundamental problem in two dimensions, eigensolutions for plane and axisymmetric states, anisotropic elasticity, thermal stress, elastic waves 3/5(4).

Some basic problems of the mathematical theory of elasticity;: Fundamental equations, plane theory of elasticity, torsion, and bending.

Third, Revised and Augmented Edition by Muskhelishvili, N.I. and a great selection of related books, art and collectibles available now at. Though the first edition goes back to (English edition by Noordhoff Ltd in ), it still contains everything that is known in this field.

It actually employs the theory of holomorphic functions, Cauchy integrals and conformal mapping in order to solve the various boundary value problems met in plane by: Mathematical Theory of Elasticity of Quasicrystals and Its Applications Tian-You Fan (auth.) This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications.

Some basic problems of the mathematical theory of elasticity: fundamental equations, plane theory of elasticity, torsion, and bending Hardcover – January 1, by : N. I Muskhelishvili.

Some Basic Problems of the Mathematical Theory of Elasticity: Fundamental Equations Plane Theory of Elasticity Torsion and Bending | N. Muskhelishvili (auth.) | download | B–OK. Download books for free. Find books. A solution of the plane problem of the contact interaction of a periodic system of convex punches with an elastic half-plane is given for two forms of boundary conditions: 1) sliding of the punches when there is friction and wear, and 2) the indentation of the punches when there is by: 5.

We deduce a singular integral equation of a plane periodic problem of the theory of elasticity for a half plane with loaded curvilinear edge. The numerical solution of the integral equation is obtained by the method of quadratures for various configurations of the boundary of the half plane.

The stress concentration factors are computed for a half plane with sinusoidal edge and for a periodic Cited by: --> Overall, this yields for elasticity: 15 unknowns and 15 equations 6 strains = ε mn 3 equilibrium (σ) 6 stresses = σ mn 6 strain-displacements (ε) 3 displacements = u m 6 stress-strain (σ-ε) IMPORTANT POINT: The first two sets of equations are “universal ” (independent of the material) as they depend on geometry (strain.

North-Holland Series in Applied Mathematics and Mechanics, Volume Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral Edition: 1.