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Author : Ronald O. Hultgren
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.3/5 (91 download)
Download or read book Solving the Second Boundary Value Problem of Elasticity written by Ronald O. Hultgren and published by . This book was released on 1965 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Remigio Russo
Publisher : World Scientific
ISBN 13 : 9789810225766
Total Pages : 340 pages
Book Rating : 4.2/5 (257 download)
Download or read book Mathematical Problems in Elasticity written by Remigio Russo and published by World Scientific. This book was released on 1996 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics.
Author : Richard B. Hetnarski
Publisher : CRC Press
ISBN 13 : 1439828881
Total Pages : 840 pages
Book Rating : 4.4/5 (398 download)
Download or read book The Mathematical Theory of Elasticity, Second Edition written by Richard B. Hetnarski and published by CRC Press. This book was released on 2010-10-18 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results. New to the Second Edition Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites The Cauchy relations in elasticity A body force analogy for the transient thermal stresses A three-part table of Laplace transforms An appendix that explores recent developments in thermoelasticity Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions. This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.
Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
ISBN 13 : 9789001607012
Total Pages : 774 pages
Book Rating : 4.6/5 (7 download)
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by N.I. Muskhelishvili and published by Springer Science & Business Media. This book was released on 1977-04-30 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael Hohn
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.:/5 (48 download)
Download or read book On the Solution of Mixed Boundary Value Problems in Elasticity written by Michael Hohn and published by . This book was released on 2001 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tullio Valent
Publisher : Springer Science & Business Media
ISBN 13 : 146123736X
Total Pages : 201 pages
Book Rating : 4.4/5 (612 download)
Download or read book Boundary Value Problems of Finite Elasticity written by Tullio Valent and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be sides being quite spontaneous, allows us to consider a great many inter esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub sequent developments.
Author : Karl K. Sabelfeld
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110479451
Total Pages : 208 pages
Book Rating : 4.1/5 (14 download)
Download or read book Stochastic Methods for Boundary Value Problems written by Karl K. Sabelfeld and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-09-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach. The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: Introduction Random walk algorithms for solving integral equations Random walk-on-boundary algorithms for the Laplace equation Walk-on-boundary algorithms for the heat equation Spatial problems of elasticity Variants of the random walk on boundary for solving stationary potential problems Splitting and survival probabilities in random walk methods and applications A random WOS-based KMC method for electron–hole recombinations Monte Carlo methods for computing macromolecules properties and solving related problems Bibliography
Author : Morton E. Gurtin
Publisher : SIAM
ISBN 13 : 9781611970340
Total Pages : 63 pages
Book Rating : 4.9/5 (73 download)
Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by SIAM. This book was released on 1981-01-01 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians.
Author : A.I. Lurie
Publisher : Springer Science & Business Media
ISBN 13 : 3540264558
Total Pages : 1036 pages
Book Rating : 4.5/5 (42 download)
Download or read book Theory of Elasticity written by A.I. Lurie and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of elasticity maintains a place of honour in the science ofthe behaviour ofsolids. Its basic definitions are general for all branches of this science, whilst the methods forstating and solving these problems serve as examples of its application. The theories of plasticity, creep, viscoelas ticity, and failure of solids do not adequately encompass the significance of the methods of the theory of elasticity for substantiating approaches for the calculation of stresses in structures and machines. These approaches constitute essential contributions in the sciences of material resistance and structural mechanics. The first two chapters form Part I of this book and are devoted to the basic definitions ofcontinuum mechanics; namely stress tensors (Chapter 1) and strain tensors (Chapter 2). The necessity to distinguish between initial and actual states in the nonlinear theory does not allow one to be content with considering a single strain measure. For this reason, it is expedient to introduce more rigorous tensors to describe the stress-strain state. These are considered in Section 1.3 for which the study of Sections 2.3-2.5 should precede. The mastering of the content of these sections can be postponed until the nonlinear theory is studied in Chapters 8 and 9.
Author : Robert Arlen Barnes
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (57 download)
Download or read book An Approximate Method of Solution for Certain Boundary Value Problems in Elasticity written by Robert Arlen Barnes and published by . This book was released on 1959 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolaĭ Ivanovich Muskhelishvili
Publisher :
ISBN 13 :
Total Pages : 762 pages
Book Rating : 4.F/5 ( download)
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by Nikolaĭ Ivanovich Muskhelishvili and published by . This book was released on 1963 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author's index and references
Author : Nikolaĭ Ivanovich Muskhelishvili
Publisher :
ISBN 13 :
Total Pages : 762 pages
Book Rating : 4.0/5 ( download)
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by Nikolaĭ Ivanovich Muskhelishvili and published by . This book was released on 1953 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.I. Lurie
Publisher : Elsevier
ISBN 13 : 0444597239
Total Pages : 632 pages
Book Rating : 4.4/5 (445 download)
Download or read book Non-Linear Theory of Elasticity written by A.I. Lurie and published by Elsevier. This book was released on 2012-12-02 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
Author : Vladimir B. Poruchikov
Publisher : Springer Science & Business Media
ISBN 13 : 3642770991
Total Pages : 329 pages
Book Rating : 4.6/5 (427 download)
Download or read book Methods of the Classical Theory of Elastodynamics written by Vladimir B. Poruchikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Methods of the Classical Theory of Elastodynamics" deals not only with classical methods as developed in the past decades, but presents also very recent approaches. Applications and solutions to specific problems serve to illustrate the theoretical presentation. Keywords: Smirnov-Sobolev method with further developments; integral transforms; Wiener-Hopf technique; mixed boundary-value problems; time-dependent boundaries; solutions for unisotropic media (Willis method); 3-d dynamical problems for mixed boundary conditions.
Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031540638
Total Pages : 531 pages
Book Rating : 4.0/5 (315 download)
Download or read book Selected Problems of Solid Mechanics and Solving Methods written by Holm Altenbach and published by Springer Nature. This book was released on with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan Stephen Sokolnikoff
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (319 download)
Download or read book Mathematical Theory of Elasticity written by Ivan Stephen Sokolnikoff and published by . This book was released on 1941 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yu P. Kochanov
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (227 download)
Download or read book General Solution of the Two-dimensional Theory of Elasticity for an Orthotropic Rectangular Plate written by Yu P. Kochanov and published by . This book was released on 1969 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: A single form of the solution of the two-dimensional problem of stresses for orthotropic rectangular plates is constructed. Unlike other solutions, it is applicable under general boundary conditions at the contour of the plate. It is assumed that body forces are absent and that the principal directions of the plate coincide with the Ox and Oy axes. The usual equations are used for the two-dimensional stressed state. The solution of the first boundary value problem of elasticity theory is used as an illustration. Formulas are obtained that allow the unknown coefficients to be determined as functions of the known coefficients of Fourier series for the external forces at the contour of the plate. The formulas allow complete solution of the first boundary value problem. The second boundary problem and diverse mixed problems can be reduced to solution of infinite systems of linear algebraic equations. (Author).
