Mathematical Theory Of Elasticity

Author : Kang Feng,Zhong-Ci Shi
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 53,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662032862

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Mathematical Theory of Elastic Structures by Kang Feng,Zhong-Ci Shi Pdf

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.

Author : Augustus Edward Hough Love
Publisher : Courier Corporation
Page : 674 pages
File Size : 49,6 Mb
Release : 1944-01-01
Category : Technology & Engineering
ISBN : 9780486601748

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A Treatise on the Mathematical Theory of Elasticity by Augustus Edward Hough Love Pdf

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.

Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
Page : 774 pages
File Size : 47,7 Mb
Release : 1977-04-30
Category : Technology & Engineering
ISBN : 9001607012

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Some Basic Problems of the Mathematical Theory of Elasticity by N.I. Muskhelishvili Pdf

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 : Ivan Stephen Sokolnikoff
Publisher : Unknown
Page : 496 pages
File Size : 50,8 Mb
Release : 1956
Category : Elasticity
ISBN : UCSD:31822013423892

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Mathematical Theory of Elasticity by Ivan Stephen Sokolnikoff Pdf

Author : Richard B. Hetnarski,Jozef Ignaczak
Publisher : CRC Press
Page : 837 pages
File Size : 50,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439828892

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The Mathematical Theory of Elasticity by Richard B. Hetnarski,Jozef Ignaczak Pdf

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 add

Author : J. N. Goodier,P. G. Hodge, Jr.
Publisher : Courier Dover Publications
Page : 160 pages
File Size : 54,6 Mb
Release : 2016-03-17
Category : Mathematics
ISBN : 9780486810478

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Elasticity and Plasticity by J. N. Goodier,P. G. Hodge, Jr. Pdf

This volume comprises two classic essays on the mathematical theories of elasticity and plasticity by authorities in this area of engineering science. Undergraduate and graduate students in engineering as well as professional engineers will find these works excellent texts and references. 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 induced by thermal shock, three-dimensional contact problems, wave propagation, traveling loads and sources of disturbance, diffraction, and pulse propagation. The Mathematical Theory of Plasticity explores the theory of perfectly plastic solids, the theory of strain-hardening plastic solids, piecewise linear plasticity, minimum principles of plasticity, bending of a circular plate, and other problems.

Author : N.I. Muskhelishvili
Publisher : Springer Science & Business Media
Page : 746 pages
File Size : 52,8 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9789401730341

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Some Basic Problems of the Mathematical Theory of Elasticity by N.I. Muskhelishvili Pdf

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 : Giuseppe Grioli
Publisher : Springer Science & Business Media
Page : 177 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642874321

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Mathematical Theory of Elastic Equilibrium by Giuseppe Grioli Pdf

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.

Author : A. E. H. Love
Publisher : Cambridge University Press
Page : 663 pages
File Size : 53,6 Mb
Release : 2013-01-03
Category : Mathematics
ISBN : 9781107618091

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A Treatise on the Mathematical Theory of Elasticity by A. E. H. Love Pdf

Originally published in 1927, this is a classic account of the mathematical theory of elasticity by English mathematician A. E. H. Love. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering.

Author : Augustus Edward Hough Love
Publisher : Unknown
Page : 348 pages
File Size : 48,7 Mb
Release : 1893
Category : Elasticity
ISBN : HARVARD:HWSQBC

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A Treatise on the Mathematical Theory of Elasticity by Augustus Edward Hough Love Pdf

An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover.

Author : J. Necas,I. Hlavácek
Publisher : Elsevier
Page : 343 pages
File Size : 42,7 Mb
Release : 2017-02-01
Category : Science
ISBN : 9781483291918

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Mathematical Theory of Elastic and Elasto-Plastic Bodies by J. Necas,I. Hlavácek Pdf

The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.

Author : Anonim
Publisher : CUP Archive
Page : 384 pages
File Size : 49,8 Mb
Release : 2024-05-23
Category : Electronic
ISBN : 8210379456XXX

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A Treatise on the Mathematical Theory of Elasticity by Anonim Pdf

Author : Jerrold E. Marsden,Thomas J. R. Hughes
Publisher : Courier Corporation
Page : 578 pages
File Size : 48,6 Mb
Release : 2012-10-25
Category : Technology & Engineering
ISBN : 9780486142272

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Mathematical Foundations of Elasticity by Jerrold E. Marsden,Thomas J. R. Hughes Pdf

Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.

Author : Tian-You Fan
Publisher : Springer
Page : 452 pages
File Size : 50,9 Mb
Release : 2016-09-20
Category : Science
ISBN : 9789811019845

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Mathematical Theory of Elasticity of Quasicrystals and Its Applications by Tian-You Fan Pdf

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. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.

Author : Richa Hetnarski,Jozef Ignaczak
Publisher : CRC Press
Page : 868 pages
File Size : 51,8 Mb
Release : 2003-12-16
Category : Mathematics
ISBN : 0203502485

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Mathematical Theory of Elasticity by Richa Hetnarski,Jozef Ignaczak Pdf

The purpose of this book is to present Mathematical Theory of Elasticity and its applications to a wide range of readers, including graduate students and researchers in modern theory of continuum mechanics. The book provides classical results on elasticity as well as the new findings of classical type obtained in recent years by various researchers