Complex Variable Methods In Plane Elasticity

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Complex Variable Methods In Plane Elasticity

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Author : Jian-Ke Lu
language : en
Publisher: World Scientific
Release Date : 1995

Complex Variable Methods In Plane Elasticity written by Jian-Ke Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

This book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author. The problems considered are reduced to integral equations, Fredholem or singular, which are rigorously proved to be uniquely solvable. Particular attention is paid to the subjects of crack problems in the quite general case, especially those of composite media, which are solved by a unified method. The methods used in this book are constructive so that they may be used in practice.

Complex Variable Methods In Elasticity

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Author : A. H. England
language : en
Publisher: Courier Corporation
Release Date : 2003-01-01

Complex Variable Methods In Elasticity written by A. H. England and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.

The plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text, which formulates and solves these problems by employing complex variable theory. The text presents detailed descriptions of the three basic methods that rely on series representation, Cauchy integral representation, and the solution via continuation. Its five-part treatment covers functions of a complex variable, the basic equations of two-dimensional elasticity, plane and half-plane problems, regions with circular boundaries, and regions with curvilinear boundaries. Worked examples and sets of problems appear throughout the text. 1971 edition. 26 figures.

Complex Variable Methods In Plane Elasticity

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Author : Jian-ke Lu
language : en
Publisher: World Scientific
Release Date : 1995-09-30

Complex Variable Methods In Plane Elasticity written by Jian-ke Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-30 with Mathematics categories.

This book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author. The problems considered are reduced to integral equations, Fredholem or singular, which are rigorously proved to be uniquely solvable. Particular attention is paid to the subjects of crack problems in the quite general case, especially those of composite media, which are solved by a unified method. The methods used in this book are constructive so that they may be used in practice.

Complex Variable Methods In Elasticity

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Author : A. H. England
language : en
Publisher: Courier Corporation
Release Date : 2012-05-10

Complex Variable Methods In Elasticity written by A. H. England and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-10 with Mathematics categories.

Plane strain and generalized plane stress boundary value problems of linear elasticity are discussed as well as functions of a complex variable, basic equations of 2-dimensional elasticity, plane and half-plane problems, more. 1971 edition. Includes 26 figures.

Complex Variable Function Solutions In The Mechanical Analysis Of Tunnels

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Author : Aizhong Lu
language : en
Publisher: Springer Nature
Release Date : 2025-03-03

Complex Variable Function Solutions In The Mechanical Analysis Of Tunnels written by Aizhong Lu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Science categories.

This book covers the mechanical problems of tunnels in traffic, hydraulic and mining engineering. By extending the complex variable method in mechanical analysis, it proposes accurate analytical solutions for tunnels. The solutions are further applied to the back analysis of tunnels, hole shape optimization, support design and estimation of tunnel stability. The considered rock characteristics involve elasticity, elastoplasticity, viscoelasticity and anisotropy, and various geometric conditions are included, such as circular/noncircular single/multiple tunnels with/without support at deep/shallow depths. Some original achievements are provided, including new mapping functions for complex regions, precise determination of the noncircular plastic zone around single/twin tunnels and related elastoplastic solutions and quantitative analysis of the interaction between rock and the support, which are new developments of theory and method in rock mechanics. The proposed analyticalsolutions are reliable tools to initially estimate the design parameters and achieve optimal design, providing guidance in the conceptual stage of the design process. They can clearly reveal the influences of parameters in functional form and provide a benchmark against which the overall correctness of numerical analyses can be assessed. This book summarizes the author's research achievements over more than 20 years. It is a valuable reference for professionals working in geotechnical engineering.

Applied Mechanics Of Solids

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Author : Allan F. Bower
language : en
Publisher: CRC Press
Release Date : 2009-10-05

Applied Mechanics Of Solids written by Allan F. Bower and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-05 with Science categories.

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications

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Author : Tian-you Fan
language : en
Publisher: World Scientific
Release Date : 2023-12-27

Mathematical Theory Of Elasticity And Generalized Dynamics Of Quasicrystals And Its Applications written by Tian-you Fan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Science categories.

This book gives a detailed description on mathematical theory of elasticity and generalized dynamics of solid quasicrystals and its applications.The Chinese edition of the book Mathematical Theory of Elasticity of Quasicrystals and Its Applications was published by the Beijing Institute of Technology Press in 1999, written by Prof Tian-You Fan. In this English edition of the book, the phonon-phason dynamics, defect dynamics and hydrodynamics of solid quasicrystals are included, so the scope of the book is beyond elasticity. Hence, the title in this edition is changed to Mathematical Theory of Elasticity and Generalized Dynamics of Quasicrystals and Its Applications. This book is the first and only monograph in the scope of quasicrystals since first published in 1999 in China and worldwide. In this edition, the two-dimensional quasicrystals of second kind, soft-matter quasicrystals and photonic bade-gap and application of photonic quasicrystals are added.This book combines the mechanical and physical behavior of quasicrystals and mathematical physics, which may help graduate students and researchers in the fields of new materials, condensed matter physics, applied mathematics and engineering science.

The Linearized Theory Of Elasticity

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Author : William S. Slaughter
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

The Linearized Theory Of Elasticity written by William S. Slaughter 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 2002 with Mathematics categories.

The mathematical framework behind the theory is developed in detail, with the assumptions behind the eventual linearization made clear, so that the reader will be adequately prepared for further studies in continuum mechanics, nonlinear elasticity, inelasticity, fracture mechanics and/or finite elements. Prior to linearization, configurations and general measure of strain and stress are discussed. A modern treatment of the theory of tensors and tensor calculus is used. General curvilinear coordinates are described in an appendix.

Finite Or Infinite Dimensional Complex Analysis

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Author : Joji Kajiwara
language : en
Publisher: CRC Press
Release Date : 2019-05-07

Finite Or Infinite Dimensional Complex Analysis written by Joji Kajiwara and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.

This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Complex Methods For Partial Differential Equations

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Author : Heinrich Begehr
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Complex Methods For Partial Differential Equations written by Heinrich Begehr 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 2013-12-01 with Mathematics categories.

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech nical Research Council of Turkey and the Middle East Technical University. This workshop is a continuation oftwo workshops from 1988 and 1993 at the In ternational Centre for Theoretical Physics in Trieste, Italy entitled Functional analytic Methods in Complex Analysis and Applications to Partial Differential Equations. Since classical complex analysis of one and several variables has a long tra dition it is of high level. But most of its basic problems are solved nowadays so that within the last few decades it has lost more and more attention. The area of complex and functional analytic methods in partial differential equations, however, is still a growing and flourishing field, in particular as these methods are not only applied. Whithin the framework of holomorphic functions but are also combined with properties of generalized analytic functions. This can be seen by the many books which recently were published in this field and also by the proceedings in this ISAAC series and the ISAAC congresses and workshops.