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Thermoelasticity With Finite Wave Speeds
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Book Synopsis Thermoelasticity with Finite Wave Speeds by : Józef Ignaczak
Download or read book Thermoelasticity with Finite Wave Speeds written by Józef Ignaczak and published by Oxford University Press. This book was released on 2010 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.
Book Synopsis Thermoelastic Deformations by : Dorin Iesan
Download or read book Thermoelastic Deformations written by Dorin Iesan and published by Springer. This book was released on 2014-03-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Thermoelastic Deformations by : D. Iesan
Download or read book Thermoelastic Deformations written by D. Iesan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fractional Thermoelasticity by : Yuriy Povstenko
Download or read book Fractional Thermoelasticity written by Yuriy Povstenko and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Analysis of One-dimensional Waves in Generalized Thermoelasticity by : Mark J. Gorman
Download or read book Numerical Analysis of One-dimensional Waves in Generalized Thermoelasticity written by Mark J. Gorman and published by . This book was released on 1993 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Classical thermoelasticity theory is based on Fourier's Law of heat conduction, which, when combined with the other fundamental field equations, leads to coupled hyperbolic-parabolic governing equations. These equations imply that thermal effects are to be felt instantaneously, far away from the external thermomechanieal load. Therefore, this theory admits infinite speeds of propagation of thermoelastic disturbances. This paradox becomes especially evident in problems involving very short time intervals, or high rates. of heat flux. Since infinite wave speeds are physically unrealistic in some situations, and since experiments have shown the existence of wavetype thermoelastic interactions, like in the observation of thermal pulses in dielectric crystals, "generalized" thermoelasticity theories have been developed. This thesis concentrates on one generalized thermoelasticity theory, proposed by Green and Lindsay, in which a generalized thermoelastic coupling constant, e, and two relaxation times, t0 and t, account for finite speed thermoelastic waves . A numerical analysis of an exact analytical solution, involving an instantaneous plane source of heat in an infinite body, is performed. The analysis reveals two finite speed wave fronts for each of the four fields: displacement, stress, temperature, and heat flux. The results are complimentary to previous analysis, and improve upon them, because a large range of parameters is involved, and the exact solution to the problem has been used."--Abstract.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1975 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thermoelastic Models of Continua by : D. Iesan
Download or read book Thermoelastic Models of Continua written by D. Iesan and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
Book Synopsis Internal Variables in Thermoelasticity by : Arkadi Berezovski
Download or read book Internal Variables in Thermoelasticity written by Arkadi Berezovski and published by Springer. This book was released on 2017-05-05 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.
Book Synopsis Thermal Stresses in Severe Environments by : D. P. Hasselman
Download or read book Thermal Stresses in Severe Environments written by D. P. Hasselman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Waves And Stability In Continuous Media - Proceedings Of The Vii Conference by : Salvatore Rionero
Download or read book Waves And Stability In Continuous Media - Proceedings Of The Vii Conference written by Salvatore Rionero and published by World Scientific. This book was released on 1994-10-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.
Book Synopsis Thermal Stresses—Advanced Theory and Applications by : Richard B. Hetnarski
Download or read book Thermal Stresses—Advanced Theory and Applications written by Richard B. Hetnarski and published by Springer. This book was released on 2019-04-11 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering. This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, and mathematics, including vector and cartesian tensor analysis. This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.
Book Synopsis Wave Fields in Real Media by : José M. Carcione
Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier. This book was released on 2022-08-04 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant constitutive relations. The differential formulation can be written in terms of memory variables, and Biot theory is used to describe wave propagation in porous media. For each constitutive relation, a plane-wave analysis is performed to illustrate the physics of wave propagation. New topics are the S-wave amplification function, Fermat principle and its relation to Snell law, bounds and averages of seismic Q, seismic attenuation in partially molten rocks, and more. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics and material science - including many branches of acoustics of fluids and solids - may also find this text useful. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation Emphasizes geophysics, particularly seismic exploration for hydrocarbon reservoirs, which is essential for the exploration and production of oil
Download or read book Heat Waves written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys significant modern contributions to the mathematical theories of generalized heat wave equations. The first three chapters form a comprehensive survey of most modern contributions also describing in detail the mathematical properties of each model. Acceleration waves and shock waves are the focus in the next two chapters. Numerical techniques, continuous data dependence, and spatial stability of the solution in a cylinder, feature prominently among other topics treated in the following two chapters. The final two chapters are devoted to a description of selected applications and the corresponding formation of mathematical models. Illustrations are taken from a broad range that includes nanofluids, porous media, thin films, nuclear reactors, traffic flow, biology, and medicine, all of contemporary active technological importance and interest. This book will be of value to applied mathematicians, theoretical engineers and other practitioners who wish to know both the theory and its relevance to diverse applications.
Book Synopsis Aerospace Thermal Structures and Materials for a New Era by : Earl A. Thornton
Download or read book Aerospace Thermal Structures and Materials for a New Era written by Earl A. Thornton and published by AIAA. This book was released on 1995 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuum Mechanics - Volume II by : José Merodio
Download or read book Continuum Mechanics - Volume II written by José Merodio and published by EOLSS Publications. This book was released on 2011-11-30 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.
Book Synopsis Transient Thermal Waves in the General Theory of Heat Conduction with Finite Wave Speeds by : Frederick R. Norwood
Download or read book Transient Thermal Waves in the General Theory of Heat Conduction with Finite Wave Speeds written by Frederick R. Norwood and published by . This book was released on 1972 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Potential Method in Mathematical Theories of Multi-Porosity Media by : Merab Svanadze
Download or read book Potential Method in Mathematical Theories of Multi-Porosity Media written by Merab Svanadze and published by Springer Nature. This book was released on 2019-11-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
