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Título : Continuum Mechanics : Advanced Topics and Research Trends Tipo de documento: documento electrónico Autores: Antonio Romano ; SpringerLink (Online service) ; Addolorata Marasco Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XII, 348 p. 39 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4870-1 Idioma : Inglés (eng) Palabras clave: Engineering Applied mathematics Mathematical models Physics Continuum physics Mechanics mechanics and of Materials Classical Theoretical, Computational Modeling Industrial Mathematics Applications Clasificación: 51 Matemáticas Resumen: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with a nonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions between matter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica® notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics Nota de contenido: Nonlinear Elasticity -- Micropolar Elasticity -- Continuous System with a Nonmaterial Interface -- Phase Equilibrium -- Stationary and Time-Dependent Phase Changes -- An Introduction to Mixture Theory -- Electromagnetism in Matter -- to Magnetofluid Dynamics -- Continua with an Interface and Micromagnetism -- Relativistic Continuous Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4870-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33544 Continuum Mechanics : Advanced Topics and Research Trends [documento electrónico] / Antonio Romano ; SpringerLink (Online service) ; Addolorata Marasco . - Boston : Birkhäuser Boston, 2010 . - XII, 348 p. 39 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4870-1
Idioma : Inglés (eng)
Palabras clave: Engineering Applied mathematics Mathematical models Physics Continuum physics Mechanics mechanics and of Materials Classical Theoretical, Computational Modeling Industrial Mathematics Applications Clasificación: 51 Matemáticas Resumen: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with a nonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions between matter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica® notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics Nota de contenido: Nonlinear Elasticity -- Micropolar Elasticity -- Continuous System with a Nonmaterial Interface -- Phase Equilibrium -- Stationary and Time-Dependent Phase Changes -- An Introduction to Mixture Theory -- Electromagnetism in Matter -- to Magnetofluid Dynamics -- Continua with an Interface and Micromagnetism -- Relativistic Continuous Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4870-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33544 Ejemplares
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Título : Continuum Thermomechanics Tipo de documento: documento electrónico Autores: Alfredo Bermúdez de Castro ; SpringerLink (Online service) Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2005 Colección: Progress in Mathematical Physics, ISSN 1544-9998 num. 43 Número de páginas: XII, 209 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7383-2 Idioma : Inglés (eng) Palabras clave: Physics Partial differential equations Computer mathematics Continuum physics Theoretical, Mathematical and Computational Mathematics Numerical Analysis Differential Equations Classical Clasificación: 51 Matemáticas Nota de contenido: General Definitions, Conservation Laws -- Lagrangian Coordinates -- Constitutive Laws -- The Principle of Material Frame-Indifference -- Replacing Entropy with Temperature -- Isotropy -- Equations in Lagrangian Coordinates -- Linearized Models -- Quasi-static Thermoelasticity -- Fluids -- Linearized Models for Fluids, Acoustics -- Perfect Gases -- Incompressible Fluids -- Turbulent Flow of Incompressible Newtonian Fluids -- Mixtures of Coleman-Noll Fluids -- Chemical Reactions in a Stirred Tank -- Chemical Equilibrium of a Reacting Mixture of Perfect Gases in a Stirred Tank -- Flow of a Mixture of Reacting Perfect Gases -- The Method of Mixture Fractions -- Turbulent Flow of Reacting Mixtures of Perfect Gases, The PDF Method En línea: http://dx.doi.org/10.1007/3-7643-7383-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35341 Continuum Thermomechanics [documento electrónico] / Alfredo Bermúdez de Castro ; SpringerLink (Online service) . - Basel : Birkhäuser Basel, 2005 . - XII, 209 p : online resource. - (Progress in Mathematical Physics, ISSN 1544-9998; 43) .
ISBN : 978-3-7643-7383-2
Idioma : Inglés (eng)
Palabras clave: Physics Partial differential equations Computer mathematics Continuum physics Theoretical, Mathematical and Computational Mathematics Numerical Analysis Differential Equations Classical Clasificación: 51 Matemáticas Nota de contenido: General Definitions, Conservation Laws -- Lagrangian Coordinates -- Constitutive Laws -- The Principle of Material Frame-Indifference -- Replacing Entropy with Temperature -- Isotropy -- Equations in Lagrangian Coordinates -- Linearized Models -- Quasi-static Thermoelasticity -- Fluids -- Linearized Models for Fluids, Acoustics -- Perfect Gases -- Incompressible Fluids -- Turbulent Flow of Incompressible Newtonian Fluids -- Mixtures of Coleman-Noll Fluids -- Chemical Reactions in a Stirred Tank -- Chemical Equilibrium of a Reacting Mixture of Perfect Gases in a Stirred Tank -- Flow of a Mixture of Reacting Perfect Gases -- The Method of Mixture Fractions -- Turbulent Flow of Reacting Mixtures of Perfect Gases, The PDF Method En línea: http://dx.doi.org/10.1007/3-7643-7383-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35341 Ejemplares
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Título : Aeroelasticity : The Continuum Theory Tipo de documento: documento electrónico Autores: A.V. Balakrishnan ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Número de páginas: XII, 400 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-3609-6 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Partial differential equations Fluids Continuum mechanics Engineering design Analysis Design Mechanics and of Materials Fluid- Aerodynamics Differential Equations Clasificación: 51 Matemáticas Resumen: The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body. From the foreword: "For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint, this book and its author have much to offer the reader." Earl Dowell, Duke University, USA Nota de contenido: Introduction -- Dynamics of Wing Structure -- The Air Flow Model -- The Steady State HStatic L Solution of the Aeroelastic Equation -- Linear Aeroelasticity Theory The Possio Integral Equation -- NonLinear Aeroelasticity Theory in 2 D Aerodynamics Flutter As LCO -- Viscous Flow Theory.-Optimal Control Theory : Flutter Suppression -- Aeroelastic Gust Response.- En línea: http://dx.doi.org/10.1007/978-1-4614-3609-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32803 Aeroelasticity : The Continuum Theory [documento electrónico] / A.V. Balakrishnan ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XII, 400 p : online resource.
ISBN : 978-1-4614-3609-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Partial differential equations Fluids Continuum mechanics Engineering design Analysis Design Mechanics and of Materials Fluid- Aerodynamics Differential Equations Clasificación: 51 Matemáticas Resumen: The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that have similar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources such as electric power generation by smart structures to flows internal to the human body. From the foreword: "For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who is open to new challenges and a fresh viewpoint, this book and its author have much to offer the reader." Earl Dowell, Duke University, USA Nota de contenido: Introduction -- Dynamics of Wing Structure -- The Air Flow Model -- The Steady State HStatic L Solution of the Aeroelastic Equation -- Linear Aeroelasticity Theory The Possio Integral Equation -- NonLinear Aeroelasticity Theory in 2 D Aerodynamics Flutter As LCO -- Viscous Flow Theory.-Optimal Control Theory : Flutter Suppression -- Aeroelastic Gust Response.- En línea: http://dx.doi.org/10.1007/978-1-4614-3609-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32803 Ejemplares
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Título : Hyperbolic Conservation Laws in Continuum Physics Tipo de documento: documento electrónico Autores: Constantine M. Dafermos ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2010 Colección: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, ISSN 0072-7830 num. 325 Número de páginas: XXXV, 710 p Il.: online resource ISBN/ISSN/DL: 978-3-642-04048-1 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Mechanics Thermodynamics Continuum mechanics Structural Differential Equations and of Materials Clasificación: 51 Matemáticas Resumen: This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. New to the 3rd edition is an account of the early history of the subject, spanning the period between 1800 to 1957. Also new is a chapter recounting the recent solution of open problems of long standing in classical aerodynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised and brought up to date, and the collection of applications has been substantially enriched. The bibliography, also expanded and updated, now comprises over fifteen hundred titles. From the reviews of the 2nd edition: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "This book is sure to convince every reader that working in this area is challenging, enlightening, and joyful." Katarina Jegdic, SIAM Review Nota de contenido: Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The Theory for Scalar Conservation Laws -- Hyperbolic Systems of Balance Laws in One-Space Dimension -- Admissible Shocks -- Admissible Wave Fans and the Riemann Problem -- Generalized Characteristics -- Genuinely Nonlinear Scalar Conservation Laws -- Genuinely Nonlinear Systems of Two Conservation Laws -- The Random Choice Method -- The Front Tracking Method and Standard Riemann Semigroups -- Construction of Solutions by the Vanishing Viscosity Method -- Compensated Compactness -- Conservation Laws in Two Space Dimensions En línea: http://dx.doi.org/10.1007/978-3-642-04048-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33720 Hyperbolic Conservation Laws in Continuum Physics [documento electrónico] / Constantine M. Dafermos ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2010 . - XXXV, 710 p : online resource. - (Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, ISSN 0072-7830; 325) .
ISBN : 978-3-642-04048-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Mechanics Thermodynamics Continuum mechanics Structural Differential Equations and of Materials Clasificación: 51 Matemáticas Resumen: This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. New to the 3rd edition is an account of the early history of the subject, spanning the period between 1800 to 1957. Also new is a chapter recounting the recent solution of open problems of long standing in classical aerodynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised and brought up to date, and the collection of applications has been substantially enriched. The bibliography, also expanded and updated, now comprises over fifteen hundred titles. From the reviews of the 2nd edition: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "This book is sure to convince every reader that working in this area is challenging, enlightening, and joyful." Katarina Jegdic, SIAM Review Nota de contenido: Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The Theory for Scalar Conservation Laws -- Hyperbolic Systems of Balance Laws in One-Space Dimension -- Admissible Shocks -- Admissible Wave Fans and the Riemann Problem -- Generalized Characteristics -- Genuinely Nonlinear Scalar Conservation Laws -- Genuinely Nonlinear Systems of Two Conservation Laws -- The Random Choice Method -- The Front Tracking Method and Standard Riemann Semigroups -- Construction of Solutions by the Vanishing Viscosity Method -- Compensated Compactness -- Conservation Laws in Two Space Dimensions En línea: http://dx.doi.org/10.1007/978-3-642-04048-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33720 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Non-linear Continuum Theories / SpringerLink (Online service) ; Giuseppe Grioli ; C. Truesdell (2011)
Título : Non-linear Continuum Theories Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Giuseppe Grioli ; C. Truesdell Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 36 Número de páginas: 358 p Il.: online resource ISBN/ISSN/DL: 978-3-642-11033-7 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Thermodynamics Continuum mechanics Microwaves Optical engineering Differential Equations Mechanics and of Materials Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media.- L. De Vito: Sui fondamenti della meccanica di sistemi continui (II).- G. Fichera: Problemi elastostatici con ambigue condizioni al contorno.- G. Grioli: Sistemi a trasformazioni reversibili.- W. Noll: the foundations of mechanics.- R.A. Toupin: Elasticity and electromagnetic.- C.C. Wang: Subfluids Nota de contenido: B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media -- L. De Vito: Sui fondamenti della meccanica di sistemi continui (II) -- G. Fichera: Problemi elastostatici con ambigue condizioni al contorno -- G. Grioli: Sistemi a trasformazioni reversibili -- W. Noll: the foundations of mechanics -- R.A. Toupin: Elasticity and electromagnetic -- C.C. Wang: Subfluids En línea: http://dx.doi.org/10.1007/978-3-642-11033-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33328 Non-linear Continuum Theories [documento electrónico] / SpringerLink (Online service) ; Giuseppe Grioli ; C. Truesdell . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 358 p : online resource. - (C.I.M.E. Summer Schools; 36) .
ISBN : 978-3-642-11033-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Thermodynamics Continuum mechanics Microwaves Optical engineering Differential Equations Mechanics and of Materials Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media.- L. De Vito: Sui fondamenti della meccanica di sistemi continui (II).- G. Fichera: Problemi elastostatici con ambigue condizioni al contorno.- G. Grioli: Sistemi a trasformazioni reversibili.- W. Noll: the foundations of mechanics.- R.A. Toupin: Elasticity and electromagnetic.- C.C. Wang: Subfluids Nota de contenido: B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media -- L. De Vito: Sui fondamenti della meccanica di sistemi continui (II) -- G. Fichera: Problemi elastostatici con ambigue condizioni al contorno -- G. Grioli: Sistemi a trasformazioni reversibili -- W. Noll: the foundations of mechanics -- R.A. Toupin: Elasticity and electromagnetic -- C.C. Wang: Subfluids En línea: http://dx.doi.org/10.1007/978-3-642-11033-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33328 Ejemplares
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