Three Dimensional Problems Of Elasticity And Thermoelasticity

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Three Dimensional Problems Of Elasticity And Thermoelasticity
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Author : V.D. Kupradze
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Three Dimensional Problems Of Elasticity And Thermoelasticity written by V.D. Kupradze and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke's law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.
Three Dimensional Problems Of Elasticity And Thermoelasticity
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Author : V. D. Kupradze
language : en
Publisher: North Holland
Release Date : 1979-04
Three Dimensional Problems Of Elasticity And Thermoelasticity written by V. D. Kupradze and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-04 with categories.
Three-Dimensional Problems of Elasticity and Thermoelasticity ...
Thermoelastic Deformations
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Author : D. Iesan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Thermoelastic Deformations written by D. Iesan 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 2013-06-29 with Science categories.
The theory of thermoelasticity studies the interaction between thermal and mechan ical fields in elastic bodies. This theory is of interest both for the mathematical and technical point of view. Intense interest has been shown recently in this field owing to the great practical importance of dynamical effects in aeronautics, nu clear reactors, and its potential importance in cryogenic applications. This work is concerned mainly with basic problems of the theory of thermoelasticity. Ther moelasticity of polar materials and the theories of thermoelasticity with finite wave speeds are not considered here. The reader interested in these subjects will find a full account in the works of Nowacki [280], Chandrasekharaiah [60] and Ignaczak [195]. Our purpose in this work is to present a systematic treatment of some results established in the theory of thermoelasticity. On the whole, the subject matter is directed towards recent developments. Chapter 1 is concerned mainly with the development of the fundamental equa tions of the theory of thermoelasticity. The kinematics and primitive concepts associated with the basic principles are developed and emphasized only to the ex tent that they are needed in our treatment of the subject. Chapter 2 is devoted to a study of linear thermoelastic deformations for prestressed bodies. We have at tempted to isolate those conceptual and mathematical difficulties which arise over and above those inherent in the problems concerned with unstressed bodies.
Evolution Equations In Thermoelasticity
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Author : Reinhard Racke
language : en
Publisher: CRC Press
Release Date : 2000-06-21
Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.
Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments. Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.
Mathematical And Computational Approaches In Advancing Modern Science And Engineering
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Author : Jacques Bélair
language : en
Publisher: Springer
Release Date : 2016-08-10
Mathematical And Computational Approaches In Advancing Modern Science And Engineering written by Jacques Bélair and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-10 with Computers categories.
Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.
Thermo Dynamics Of Plates And Shells
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-15
Thermo Dynamics Of Plates And Shells written by Jan Awrejcewicz 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 2007-02-15 with Technology & Engineering categories.
This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and types of mathematical models in current use, there is no prospect of solving them analytically. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.
Developments In Boundary Element Methods
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Author : P.K. Banerjee
language : en
Publisher: CRC Press
Release Date : 2005-12-07
Developments In Boundary Element Methods written by P.K. Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-07 with Architecture categories.
Nine detailed survey chapters by different authors present a number of applications of BEMs.
Thermal Stresses In Severe Environments
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Author : D. P. Hasselman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Thermal Stresses In Severe Environments written by D. P. Hasselman 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 Technology & Engineering categories.
This volume of Thermal Stresses in ~~terials and Structures in Severe Thermal Environments constitutes the proceedings of an international conference held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia, USA, on ~1arch 19, 20 and 21, 1980. The purpose of the conference was to bring together experts in the areas of heat transfer, theoretical and applied mechanics amd materials science and engineering, with a.common interest in the highly interdisciplinary nature of the thermal stress problem. It is the hope of the program chairmen that the resulting interac tion has led to a greater understanding of the underlying prin ciples of the thermal stress problem and to an improved design and selection of materials for structures subjected to high thermal stresses. The program chairmen gratefully acknowledge the financial assistance for the conference provided by the Department of Energy, the National Science Foundation, the Army Research Office and the Office of Naval Research as well as the Departments of Engineering Science and Mechanics and Materials Engineering at Virginia Poly technic Institute and State University. A number of professional societies also provided mailing lists for the program at no nominal cost The Associate Director, Mr. R. J. Harshberger and his staff at the Conference Center for Continuing Education at VPI and SU should be recognized especially for their coordination of the con ference activities, lunches and banquet. Provost John D. Wilson gave a most enlightening and provocative after-dinner speech.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1973
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mechanics, Applied categories.
Mathematical Models Of Higher Orders
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Author : Vadim A. Krysko
language : en
Publisher: Springer
Release Date : 2019-02-11
Mathematical Models Of Higher Orders written by Vadim A. Krysko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-11 with Mathematics categories.
This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.