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Three Dimensional Problems Of Elasticity And Thermoelasticity


Three Dimensional Problems Of Elasticity And Thermoelasticity
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Three Dimensional Problems Of Elasticity And Thermoelasticity


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 The Mathematical Theory Of Elasticity And Thermoelasticity


Three Dimensional Problems Of The Mathematical Theory Of Elasticity And Thermoelasticity
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Author : T. G. Gegelii︠a︡
language : en
Publisher:
Release Date : 1979

Three Dimensional Problems Of The Mathematical Theory Of Elasticity And Thermoelasticity written by T. G. Gegelii︠a︡ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Elasticity categories.




Three Dimensional Problems 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 ...



Linear Theories Of Elasticity And Thermoelasticity


Linear Theories Of Elasticity And Thermoelasticity
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Author : Clifford Truesdell
language : en
Publisher: Springer
Release Date : 2013-12-17

Linear Theories Of Elasticity And Thermoelasticity written by Clifford Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Technology & Engineering categories.




The Mathematical Theory Of Elasticity Second Edition


The Mathematical Theory Of Elasticity Second Edition
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Author : Richard B. Hetnarski
language : en
Publisher: CRC Press
Release Date : 2010-10-18

The Mathematical Theory Of Elasticity Second Edition written by Richard B. Hetnarski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-18 with Science categories.


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 additional examples and the latest research results. New to the Second Edition Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites The Cauchy relations in elasticity A body force analogy for the transient thermal stresses A three-part table of Laplace transforms An appendix that explores recent developments in thermoelasticity Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions. This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.



Three Dimensional Problems Of The Theory Of Elasticity


Three Dimensional Problems Of The Theory Of Elasticity
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Author : Anatoliĭ Isakovich Lurʹe
language : en
Publisher:
Release Date : 1964

Three Dimensional Problems Of The Theory Of Elasticity written by Anatoliĭ Isakovich Lurʹe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Elasticity categories.




Mathematical Elasticity


Mathematical Elasticity
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Author : Philippe G. Ciarlet
language : en
Publisher: SIAM
Release Date : 2022-01-22

Mathematical Elasticity written by Philippe G. Ciarlet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-22 with Mathematics categories.


The first book of a three-volume set, Three-Dimensional Elasticity covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. It includes the known existence theorems, either via the implicit function theorem or via the minimization of the energy (John Ball’s theory). An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.



Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members


Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2020-04-06

Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Science categories.


From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration



Potential Method In Mathematical Theories Of Multi Porosity Media


Potential Method In Mathematical Theories Of Multi Porosity Media
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Author : Merab Svanadze
language : en
Publisher: Springer Nature
Release Date : 2019-11-01

Potential Method In Mathematical Theories Of Multi Porosity Media written by Merab Svanadze and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.


This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.



Thermoelasticity


Thermoelasticity
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Author : Witold Nowacki
language : en
Publisher: Elsevier
Release Date : 2013-10-22

Thermoelasticity written by Witold Nowacki and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.


Thermoelasticity, Second Edition reviews advances in thermoelasticity and covers topics ranging from stationary problems of thermoelasticity to variational theorems of stationary thermoelasticity; stresses due to the action of a discontinuous temperature field in an infinite elastic body; the action of heat sources in the elastic space; and thermal inclusions in an infinite disc and semi-infinite disc. Three different sets of differential equations describing the fields of strain and temperature are presented. This book is comprised of 12 chapters and begins with a discussion on basic relations and equations of thermoelasticity. Thermoelasticity is treated as a synthesis of the theory of elasticity and the theory of heat conduction. Some particular cases of thermoelasticity are then investigated, including stationary problems, the theory of thermal stresses, and classical dynamic elasticity. Dynamic effects due to the action of a non-stationary temperature field are examined, along with plane harmonic waves in an elastic space and thermal stresses in plates, shells, and viscoelastic bodies. The final chapter focuses on micropolar thermoelasticity, magnetothermoelasticity, and thermopiezoelectricity. This monograph will be of interest to physicists and mechanical engineers.