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Saturday, November 28, 2020 | History

2 edition of Thermoelastic Models of Continua found in the catalog.

Thermoelastic Models of Continua

  • 156 Want to read
  • 23 Currently reading

Published by Springer Netherlands in Dordrecht .
Written in English

    Subjects:
  • Mechanics,
  • Materials,
  • Physics,
  • Mechanical engineering

  • About the Edition

    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.

    Edition Notes

    Statementby D. Ieşan
    SeriesSolid Mechanics and Its Applications -- 118, Solid mechanics and its applications -- 118.
    Classifications
    LC ClassificationsQC120-168.85, QA808.2
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (viii, 304 p.)
    Number of Pages304
    ID Numbers
    Open LibraryOL27091934M
    ISBN 109048166349, 1402023103
    ISBN 109789048166343, 9781402023101
    OCLC/WorldCa853267149

    ``A Computational Approach for Determination of Parameters in Generalized Mechanics'', to appear as book chapter in Higher Gradient Materials and Related Generalized Continua, Springer-Verlag, Berlin Refereed Publications. B. Mercer, E. Zywicz, and P. Papadopoulos. Nowacki (a, b, c, ) in a series of papers presented the theory of thermoelastic diffusion by using coupled thermoelastic model. Uniqueness and reciprocity theorems for the equations of generalized thermoelastic diffusion problem, in isotropic media, was proved by Sherief et al.()on the basis of the variational principle Cited by: 2. Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics Formulations. Mathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum book explores the foundation of continuum .


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Thermoelastic Models of Continua by D. IeЕџan Download PDF EPUB FB2

Thermoelastic Models of Continua (Solid Mechanics and Its Applications) th Edition by D. Iesan (Author) ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book Cited by: Thermoelastic Models of Continua.

Authors (view affiliations) D. Ieşan; Book. Citations; 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.

Thermoelastic Models of Continua. Authors: Iesan, Dorin Free Preview. Buy this book eBook ,09 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 Brand: Springer Netherlands.

Get this from a library. Thermoelastic models of continua. [Dorin Ieşan] -- "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.

The book. Thermoelastic Models of Continua Article in Journal of Thermal Stresses 29(11) November with 13 Reads How we measure 'reads'. Thermoelastic Models Of Continua. Author by: D 53,8 Mb. Description: 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. Cite this chapter as: Ieşan D. () Thermoelastic Materials with Voids. In: Thermoelastic Models of Continua. Solid Mechanics and Its Applications, vol Author: D. Ieşan. Thermoelastic Models of Continua Book 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.5/5(1).

Hence the book is recommended both for basic notions of thermomechanics of continua and for updated developments of some topics such as hyperbolicity of field equations, Maxwellian fluids, second sound, porous materials.

The book is certainly useful for students and researchers in mathematics, physics and engineering." (Meccanica, )Format: Paperback. In this article, we use the Nunziato–Cowin theory of materials with voids to derive a theory of thermoelastic solids, which have a double porosity structure.

Thermoelastic Models of Continua Iesan, D. () 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.

Discount prices on books by Dorin Iesan, including titles like Thermoelastic Models of Continua (Solid Mechanics and Its Applications). Click here for the lowest price. This work aims to study some dynamical problems in the framework of nonlinear theory of micromorphic thermoelastic solids.

First, the continuous dependence of smooth admissible thermodynamic processes upon initial state and supply terms is investigated in the region of state space where the internal energy is a convex function and the elastic material behaves as a.

This monograph, addressing researchers as well as engineers, is devoted to nonclassical thermoelastic modelling of the nonlinear dynamics of shells. Differential equations of different dimensionality and different type have to be combined and nonlinearities of different geometrical, physical or elasto-plastic categories are addressed.

chanical Models of Viscoelastic Fluids so that they may be added to this volume; and if I Continuum Mechanics: Concise Theory and Problems, Dover, J.L. Ericksen, Introduction to the Thermodynamics of Solids, Chapman and Hall, 8 Thermoelastic Materials Asymptotic behavior for a generalized micropolar thermoelastic body.

The paper establishes the exponential stability of a micropolar thermoelastic homogeneous and linear body with frictional dissipation and thermal conduction of hyperbolic type, allowing for second sound.

Ieşan elastic Models of Continua. Solid Mechanics and Author: Marcio V. Ferreira, Jaime E. Muñoz Rivera, Amélie Rambaud, Octavio Vera.

Book Description. Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics Formulations. Mathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum book explores the.

Nonlinear Waves in Solid Continua with Finite Deformation by Jason Knight Submitted to the graduate degree program in Department of Mechanical Engineering and the Graduate Faculty of the University of Kansas in partial ful llment of the requirements for the degree of Master of Science.

Chairperson Dr. Karan S. Surana (Advisor) Dr. Robert M. SoremAuthor: K. Surana, J. Knight, J. Reddy. In this section explicit forms of the mathematical models for 1D wave propagation in R 1 for thermoelastic and thermoviscoelastic solid continua with and without memory are presented.

These models are derived using the mathematical models presented in Section 3 for the three dimensional case, i.e. in R 3, hence they hold for finite deformation Author: K. Surana, J. Knight, J. Reddy. Get this book in print. Finite Elements of Nonlinear Continua polynomial problems properties quantities reference configuration represents sequence shown in Fig simple materials simplex models solution specific stiffness relations strain strain-energy function subspace temperature Theorem theory thermoelastic thermomechanical two.

Decay of solutions in nonsimple thermoelastic bars. it has been needed to develop some new mathematical models for continuum materials where this kind of effects were taken into account.

Some of them are the porous elastic media, We consider a beam composed by nonsimple thermoelastic continua that occupies the interval (0, Cited by: Solutions of thermoelastic coupled equations in the form of propagating plane waves are studied.

Their spatial polarizations are determined. An algebraic bicubic equation for the determination of wavenumbers is obtained. It is found that for a coupled thermoelastic wave actually there are exactly three normal complex : Радаев Юрий Николаевич, Ковалёв Владимир Александрович.

The notion of continuum thermodynamics, adopted in this book, is primarily understood as a strategy for development of continuous models of various physical systems. The examples of such a strategy presented in the book have both the classical character (e.

thermoelastic materials, viscous fluids, mixtures) and the extended one (ideal gases. of micropolar elasticity; the microstretch continua can be used as mathematical models for these types of solids. A comprehensive review on the micropolar continuum theory has been given in the book by Eringen [ ].

e thermodi usion in elastic solids is due to cou-pling of elds of temperature, mass di usion, and that of. Finally, the book presents an approach to multiconstituent continua based on mixture theory to illustrate how phenomena, such as diffusion and porous-media flow, obey continuum-mechanical principles.

Continuum Mechanics: The Birthplace of Mathematical Models features. Continuum Mechanics: The Birthplace of Mathematical Models is an ideal textbook for courses on continuum mechanics for upper-undergraduate mathematics majors and graduate students in applied mathematics, mechanical engineering, civil engineering, physics, and geophysics.

The book is also an excellent reference for professional mathematicians Pages: Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. This work considers initiation of nonlinear waves, their propagation, reflection, and their interactions in thermoelastic solids and thermoviscoelastic solids with and without memory.

The conservation and balance laws constituting the mathematical models as well as the constitutive theories are derived for finite deformation and finite strain using second Piola-Kirchoff stress Author: K.

Surana, J. Knight, J. Reddy. Kinematics of Continua Mechanics Thermodynamics Various Thermodynamic Potentials Thermoelastic Stress--Strain Relations Thermoelastic Relations for Small Changes from Reference State Related thermodynamic Functions Elastic Constants in Terms of Displacement Gradients Isotropic Solids Appendix Notation Pages:   Ebooks related to "Thermoelastic Models of Continua": IUTAM Symposium on Mesoscopic Dynamics of Fracture Process and Materials Strength Statistical Methods for Data Analysis in Particle Physics (Lecture Notes in Physics) The Problem of Time: Quantum Mechanics Versus General Relativity Electromagnetic Wave Theory for Boundary-Value Problems: An.

The present investigation deals with the propagation of Rayleigh type surface waves in an isotropic microstretch thermoelastic diffusion solid half space under a layer of inviscid liquid. The secular equation for surface waves in compact form is derived after developing the mathematical model.

The dispersion curves giving the phase velocity and attenuation coefficients with wave Author: Rajneesh Kumar, Sanjeev Ahuja, S. Garg. Ieşan, "Thermoelastic Models of Continua,", Solid Mechanics and its Applications, (). Google Scholar [18] D. Ieşan and A.

Scalia, On the deformation of functionally graded porous elastic cylinder, J. Elasticity, 87 (), doi: /s Cited by: 3. Micropolar Theory of Elasticity, Dyszlewicz Fast Free Shipping- Micropolar Theory of: $ Theory Elasticity, of Micropolar Dyszlewicz Free Fast Shipping- Shipping- Fast Theory Dyszlewicz Elasticity, Free Micropolar of.

Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics Formulations Mathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum mechanics.

This book explores the foundation of continuum. Publications Book Chapters “Mechanics of random materials: Stochastics, scale effects, and computation,” in Mechanics of Random and Multiscale Microstructures (Eds.

Jeulin and M. Ostoja-Starzewski), CISM Courses and Lectures Vol.Springer-Wien-NewYork,“Selected topics in stochastic wave propagation,” Chapter 3 in Advances in Mechanics.

A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions.

On the decay rates for a one-dimensional porous elasticity system with past history. Communications on Pure & Applied Analysis,18 (6): Cited by: 3. Continuum Mechanics: The Birthplace of Mathematical Models features: * Direct vector and tensor notation to minimize the reliance on particular coordinate systems when presenting the theory * Terminology that is aligned with standard courses in vector calculus and linear algebra * The use of Cartesian coordinates in the examples and problems to.

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction. Besides that paradox, the classical dynamic thermoelasticity theory offers either unsatisfactory or poor descriptions of a solid's response at low temperatures or to a fast.

thermoelastic behavior, thermoelastic isotropic solid, thermokinetic process, thermometer, thermoviscoelasticity, thermoviscous fluid, Thomson–Kelvin theorem, Torricelli’s theorem, torsion, torsional.

Ebooks related to "Semiconductor Lasers: Stability, Instability and Chaos": Wave Motion as Inquiry: The Physics and Applications of Light and Sound Solid-State Electronic Devices: An Introduction (Undergraduate Lecture Notes in Physics) Fracture Mechanics Thermodynamic Inversion: Origin of Living Systems Thermoelastic Models of Continua Laser Spectroscopy .On the Nonlinear Theory of Micromorphic Thermoelastic Solids Motivated by experimental studies, various continuous models of deformable bodies have 16, the problem of heat flow in a micromorphic continua with microtemperatures has been investigated by Ies¸an and Nappa This article constructs a new model of nonlocal thermoelasticity beam theory with phase-lags considering the thermal conductivity to be variable.

A nanobeam subjected to a harmonically varying heat is considered. The nonlocal theories of coupled thermoelasticity and generalized thermoelasticity with one relaxation time can be extracted as limited and special cases of the Cited by: