Continuum Thermodynamics And Constitutive Theory

Author : Christina Papenfuß
Publisher : Springer Nature
ISBN 13 : 3030439895
Total Pages : 238 pages
Book Rating : 4.97/5 ( download)

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Download or read book Continuum Thermodynamics and Constitutive Theory written by Christina Papenfuß and published by Springer Nature. This book was released on 2020-05-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different thermodynamic approaches in the area of constitutive theory: thermodynamics of irreversible processes, rational thermodynamics, and extended thermodynamics. These different approaches are analyzed with respect to their presuppositions, as well as to their results, and each method is applied to several important examples. In many cases these examples are archetypes for numerous technologically important materials; i.e. complex materials having an internal structure. Some of the examples dealt with in this book are liquid crystals, colloid suspensions, ans fiber suspensions. The book well serves students and researchers who have basic knowledge in continuum mechanics and thermodynamics. It provides a systematic overview of the vast field of thermodynamic constitutive theory, beginning from a historical perspective and concluding with outstanding questions in recent research.

Author : Peter Haupt
Publisher : Springer Science & Business Media
ISBN 13 : 3662047756
Total Pages : 666 pages
Book Rating : 4.50/5 ( download)

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Download or read book Continuum Mechanics and Theory of Materials written by Peter Haupt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Ellad B. Tadmor
Publisher : Cambridge University Press
ISBN 13 : 1107008263
Total Pages : 373 pages
Book Rating : 4.67/5 ( download)

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Download or read book Continuum Mechanics and Thermodynamics written by Ellad B. Tadmor and published by Cambridge University Press. This book was released on 2012 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Author : Ellad B. Tadmor
Publisher :
ISBN 13 : 9781107227903
Total Pages : pages
Book Rating : 4.09/5 ( download)

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Download or read book Continuum Mechanics and Thermodynamics written by Ellad B. Tadmor and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting micro- and nanoscopic theories and emphasizing topics relevant to understanding solid-state thermo-mechanical behavior. Providing clear, in-depth coverage, the book gives a self-contained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closed-form solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering"--

Author : Giovambattista Amendola
Publisher : Springer Science & Business Media
ISBN 13 : 1461416922
Total Pages : 576 pages
Book Rating : 4.20/5 ( download)

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Download or read book Thermodynamics of Materials with Memory written by Giovambattista Amendola and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of non-simple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.

Author : J. J. Delgado Domingos
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.60/5 ( download)

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Download or read book Foundations of Continuum Thermodynamics written by J. J. Delgado Domingos and published by John Wiley & Sons. This book was released on 1975 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : M.B. Rubin
Publisher : Springer Nature
ISBN 13 : 3030577767
Total Pages : 284 pages
Book Rating : 4.66/5 ( download)

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Download or read book Continuum Mechanics with Eulerian Formulations of Constitutive Equations written by M.B. Rubin and published by Springer Nature. This book was released on 2020-10-11 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.

Author : Wilmanski
Publisher : World Scientific
ISBN 13 : 9812835563
Total Pages : 416 pages
Book Rating : 4.67/5 ( download)

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Download or read book Continuum Thermodynamics written by Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Author : I-Shih Liu
Publisher : Springer Science & Business Media
ISBN 13 : 3662050560
Total Pages : 303 pages
Book Rating : 4.69/5 ( download)

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Download or read book Continuum Mechanics written by I-Shih Liu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presendted in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

Author : Krzysztof Wilmanski
Publisher : World Scientific
ISBN 13 : 981446970X
Total Pages : 416 pages
Book Rating : 4.08/5 ( download)

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Download or read book Continuum Thermodynamics - Part I: Foundations written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2008-11-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.