Introduction To Rational Elasticity
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Introduction To Rational Elasticity
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Author : Chao-cheng Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 1973-12-31
Introduction To Rational Elasticity written by Chao-cheng Wang 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 1973-12-31 with Science categories.
Boundary Value Problems Of Finite Elasticity
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Author : Tullio Valent
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Boundary Value Problems Of Finite Elasticity written by Tullio Valent 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 2013-03-07 with Science categories.
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 Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality.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.
Topics In Finite Elasticity
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Author : Michael Hayes
language : en
Publisher: Springer
Release Date : 2014-05-04
Topics In Finite Elasticity written by Michael Hayes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.
More than fifty years ago, Professor R. S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century. This book with chapters on foundation, models, universal results, wave propagation, qualitative theory and phase transitions, indicates that the subject he reinvigorated has remainded remarkably vibran and has continued to present significant deep mathematical and experimental challenges.
Contemporary Developments In Continuum Mechanics And Partial Differential Equations
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Author :
language : en
Publisher: Elsevier
Release Date : 1978-01-01
Contemporary Developments In Continuum Mechanics And Partial Differential Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.
Contemporary Developments in Continuum Mechanics and Partial Differential Equations
Structural Analysis In Microelectronic And Fiber Optic Systems
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Author : Ephraim Suhir
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Structural Analysis In Microelectronic And Fiber Optic Systems written by Ephraim Suhir 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 Social Science categories.
This book contains the fundamentals of a discipline, which could be called Structural Analysis in Microelectronics and Fiber Optics. It deals with mechanical behavior of microelectronic and fiber-optic systems and is written in response to the crucial need for a textbook for a first in-depth course on mechanical problems in microelectronics and fiber optics. The emphasis of this book is on electronic and optical packaging problems, and analytical modeling. This book is apparently the first attempt to select, advance, and present those methods of classical structural mechanics which have been or can be applied in various stress-strain problems encountered in "high technology" engineering and some related areas, such as materials science and solid-state physics. The following major objectives are pursued in Structural Analysis in Microelectronic and Fiber-Optic Systems: Identify structural elements typical for microelectronic and fiber-optic systems and devices, and introduce the student to the basic concepts of the mechanical behavior of microelectronic and fiber-optic struc tures, subjected to thermally induced or external loading. Select, advance, and present methods for analyzing stresses and deflections developed in microelectronic and fiber-optic structures; demonstrate the effectiveness of the methods and approaches of the classical struc tural analysis in the diverse mechanical problems of microelectronics and fiber optics; and give students of engineering, as well as practicing engineers and designers, a thorough understanding of the main princi ples involved in the analytical evaluation of the mechanical behavior of microelectronic and fiber-optic systems.
Mechanics And Physics Of Structured Media
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Author : Igor Andrianov
language : en
Publisher: Academic Press
Release Date : 2022-01-20
Mechanics And Physics Of Structured Media written by Igor Andrianov and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-20 with Technology & Engineering categories.
Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. - Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more - Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description - Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more - Applies homogenization concepts to various physical systems
Classical And Computational Solid Mechanics
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Author : Pin Tong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-06-29
Classical And Computational Solid Mechanics written by Pin Tong and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-29 with Science categories.
This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.
Elastoplasticity Theory
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Author : Vlado A. Lubarda
language : en
Publisher: CRC Press
Release Date : 2001-07-16
Elastoplasticity Theory written by Vlado A. Lubarda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-16 with Science categories.
Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the su
Numerical Solution Of Partial Differential Equations Iii Synspade 1975
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Author : Bert Hubbard
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Numerical Solution Of Partial Differential Equations Iii Synspade 1975 written by Bert Hubbard and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.
Continuum Mechanics And Theory Of Materials
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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Continuum Mechanics And Theory Of Materials written by Peter Haupt 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 2013-03-14 with Technology & Engineering categories.
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.