Mathematical Theory Of Elastic Equilibrium

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Mathematical Theory Of Elastic Equilibrium
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Author : Giuseppe Grioli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Theory Of Elastic Equilibrium written by Giuseppe Grioli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
It is not my intention to present a treatise of elasticity in the follow ing pages. The size of the volume would not permit it, and, on the other hand, there are already excellent treatises. Instead, my aim is to develop some subjects not considered in the best known treatises of elasticity but nevertheless basic, either from the physical or the analytical point of view, if one is to establish a complete theory of elasticity. The material presented here is taken from original papers, generally very recent, and concerning, often, open questions still being studied by mathematicians. Most of the problems are from the theory of finite deformations [non-linear theory], but a part of this book concerns the theory of small deformations [linear theory], partly for its interest in many practical questions and partly because the analytical study of the theory of finite strain may be based on the infinitesimal one.
Mathematical Theory Of Elastic Structures
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Author : Kang Feng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Mathematical Theory Of Elastic Structures written by Kang Feng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
A Treatise On The Mathematical Theory Of Elasticity
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Author : Augustus Edward Hough Love
language : en
Publisher: Courier Corporation
Release Date : 1944-01-01
A Treatise On The Mathematical Theory Of Elasticity written by Augustus Edward Hough Love and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1944-01-01 with Technology & Engineering categories.
The most complete single-volume treatment of classical elasticity, this text features extensive editorial apparatus, including a historical introduction. Topics include stress, strain, bending, torsion, gravitational effects, and much more. 1927 edition.
A Treatise On The Mathematical Theory Of Elasticity
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Author : Augustus Edward Hough Love
language : en
Publisher:
Release Date : 1892
A Treatise On The Mathematical Theory Of Elasticity written by Augustus Edward Hough Love and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 with Elasticity categories.
Theory Of Elastic Stability
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Author : Luis A. Godoy
language : en
Publisher: CRC Press
Release Date : 2024-11-01
Theory Of Elastic Stability written by Luis A. Godoy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Technology & Engineering categories.
This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. The sensitivity of buckling and post-buckling states to changes in design parameters is also discussed as well as changes due to imperfections and damage.
A Treatise On The Mathematical Theory Of Elasticity
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Author :
language : en
Publisher: CUP Archive
Release Date : 1920
A Treatise On The Mathematical Theory Of Elasticity written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1920 with categories.
Anteportada.
A Treatise On The Mathematical Theory Of Elasticity
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Author : A.E.H. Love
language : en
Publisher: Рипол Классик
Release Date : 1959
A Treatise On The Mathematical Theory Of Elasticity written by A.E.H. Love and has been published by Рипол Классик this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with History categories.
Stability Theory Of Elastic Rods
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Author : Teodor M. Atanackovic
language : en
Publisher: World Scientific
Release Date : 1997
Stability Theory Of Elastic Rods written by Teodor M. Atanackovic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Technology & Engineering categories.
This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.
Some Basic Problems Of The Mathematical Theory Of Elasticity
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Author : N.I. Muskhelishvili
language : en
Publisher: Springer Science & Business Media
Release Date : 1977-04-30
Some Basic Problems Of The Mathematical Theory Of Elasticity written by N.I. Muskhelishvili and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-04-30 with Technology & Engineering categories.
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.