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Título : An Introduction to the Mathematical Theory of Dynamic Materials Tipo de documento: documento electrónico Autores: Konstantin A. Lurie ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2007 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 15 Número de páginas: XVIII, 182 p Il.: online resource ISBN/ISSN/DL: 978-0-387-38280-7 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Calculus of variations Optics Electrodynamics Vibration Dynamical systems Dynamics Structural materials Optical Electronic Differential Equations Materials and Variations Optimal Control; Optimization Vibration, Systems, Control Clasificación: 51 Matemáticas Resumen: This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics Nota de contenido: A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design En línea: http://dx.doi.org/10.1007/0-387-38280-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34463 An Introduction to the Mathematical Theory of Dynamic Materials [documento electrónico] / Konstantin A. Lurie ; SpringerLink (Online service) . - Boston, MA : Springer US, 2007 . - XVIII, 182 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 15) .
ISBN : 978-0-387-38280-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Calculus of variations Optics Electrodynamics Vibration Dynamical systems Dynamics Structural materials Optical Electronic Differential Equations Materials and Variations Optimal Control; Optimization Vibration, Systems, Control Clasificación: 51 Matemáticas Resumen: This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics Nota de contenido: A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design En línea: http://dx.doi.org/10.1007/0-387-38280-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34463 Ejemplares
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Título : Microstructured Materials: Inverse Problems Tipo de documento: documento electrónico Autores: Jaan Janno ; SpringerLink (Online service) ; Jüri Engelbrecht Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: Springer Monographs in Mathematics, ISSN 1439-7382 Número de páginas: X, 162 p Il.: online resource ISBN/ISSN/DL: 978-3-642-21584-1 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Mechanics Continuum mechanics Structural materials Differential Equations and of Materials Clasificación: 51 Matemáticas Resumen: Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples Nota de contenido: Introduction -- 1 Inverse problems and non-destructive evaluation -- 2 Mathematical models of microstructured solids -- 3 Linear waves -- 4 Inverse problems for linear waves -- 5 Solitary waves in nonlinear models -- 6 Inverse problems for solitary waves -- 7 Summary -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-21584-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33435 Microstructured Materials: Inverse Problems [documento electrónico] / Jaan Janno ; SpringerLink (Online service) ; Jüri Engelbrecht . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - X, 162 p : online resource. - (Springer Monographs in Mathematics, ISSN 1439-7382) .
ISBN : 978-3-642-21584-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Mechanics Continuum mechanics Structural materials Differential Equations and of Materials Clasificación: 51 Matemáticas Resumen: Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples Nota de contenido: Introduction -- 1 Inverse problems and non-destructive evaluation -- 2 Mathematical models of microstructured solids -- 3 Linear waves -- 4 Inverse problems for linear waves -- 5 Solitary waves in nonlinear models -- 6 Inverse problems for solitary waves -- 7 Summary -- References -- Index En línea: http://dx.doi.org/10.1007/978-3-642-21584-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33435 Ejemplares
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Título : Thermodynamics of Materials with Memory : Theory and Applications Tipo de documento: documento electrónico Autores: Giovambattista Amendola ; SpringerLink (Online service) ; Mauro Fabrizio ; John Murrough Golden Editorial: Boston, MA : Springer US Fecha de publicación: 2012 Número de páginas: XVI, 576 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-1692-0 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical physics Mechanics Continuum mechanics Materials science Applications in the Physical Sciences Characterization and Evaluation of Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Introduction to Continuum.-Materials with Constitutive Equations That Are Local in Time -- Principles of Thermodynamics -- Free Energies and the Dissipation Principle.-Thermodynamics of Materials with Memory.-A Linear Memory Model -- Viscoelastic Solids and Fluids -- Heat Conductors -- Free Energies on Special Classes of Material -- The Minimum Free Energy.-Representation of the Minimum Free Energy in the Time Domain -- Minimum Free Energy for Viscoelastic Solids, Fluids, and Heat Conductors -- The Minimum Free Energy for a Continuous-Spectrum Material -- The Minimum Free Energy for a Finite-Memory Material -- A Family of Free Energies -- Properties and Explicit Forms of Free Energies for the Case of Isolated Singularities -- Free Energies for Nonlocal Materials -- Existence and Uniqueness -- Controllability of Thermoelastic Systems with Memory -- The Saint-Venant Problem for Viscoelastic Materials -- Exponential Decay -- Semigroup Theory for Abstract Equations with Memory -- Identification Problems for Integrodifferential Equations -- Dynamics of Viscoelastic Fluids -- A Conventions and Some Properties of Vector Spaces -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-1692-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32767 Thermodynamics of Materials with Memory : Theory and Applications [documento electrónico] / Giovambattista Amendola ; SpringerLink (Online service) ; Mauro Fabrizio ; John Murrough Golden . - Boston, MA : Springer US, 2012 . - XVI, 576 p : online resource.
ISBN : 978-1-4614-1692-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical physics Mechanics Continuum mechanics Materials science Applications in the Physical Sciences Characterization and Evaluation of Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Introduction to Continuum.-Materials with Constitutive Equations That Are Local in Time -- Principles of Thermodynamics -- Free Energies and the Dissipation Principle.-Thermodynamics of Materials with Memory.-A Linear Memory Model -- Viscoelastic Solids and Fluids -- Heat Conductors -- Free Energies on Special Classes of Material -- The Minimum Free Energy.-Representation of the Minimum Free Energy in the Time Domain -- Minimum Free Energy for Viscoelastic Solids, Fluids, and Heat Conductors -- The Minimum Free Energy for a Continuous-Spectrum Material -- The Minimum Free Energy for a Finite-Memory Material -- A Family of Free Energies -- Properties and Explicit Forms of Free Energies for the Case of Isolated Singularities -- Free Energies for Nonlocal Materials -- Existence and Uniqueness -- Controllability of Thermoelastic Systems with Memory -- The Saint-Venant Problem for Viscoelastic Materials -- Exponential Decay -- Semigroup Theory for Abstract Equations with Memory -- Identification Problems for Integrodifferential Equations -- Dynamics of Viscoelastic Fluids -- A Conventions and Some Properties of Vector Spaces -- References -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-1692-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32767 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Variational Problems in Materials Science / SpringerLink (Online service) ; Gianni dal Maso ; Antonio DeSimone ; Franco Tomarelli (2006)
Título : Variational Problems in Materials Science Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Gianni dal Maso ; Antonio DeSimone ; Franco Tomarelli Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2006 Colección: Progress in Nonlinear Differential Equations and Their Applications num. 68 Número de páginas: X, 162 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7565-2 Idioma : Inglés (eng) Palabras clave: Materials science Partial differential equations Computer mathematics Mathematical models Calculus of variations Science Science, general Differential Equations Variations and Optimal Control; Optimization Computational Mathematics Numerical Analysis Engineering Modeling Industrial Clasificación: 51 Matemáticas Resumen: This volume contains the proceedings of the international workshop Variational Problems in Materials Science, which was jointly organized by the International School for Advanced Studies (SISSA) of Trieste and by the Dipartimento di Matematica ``Francesco Brioschi'' of the Politecnico di Milano. The conference took place at SISSA from September 6 to 10, 2004. The study of variational problems in materials science has a long history, and it has contributed a lot in shaping our understanding on how materials work and perform. There is, however, a recent renewed interest in this subject as a consequence of the fruitful interaction between mathematical analysis and the modelling of new, technologically advanced materials. On one hand, a sizable group of analysts has found in materials science a valuable source of inspiration for new variational theories and interesting problems. On the other hand, workers in the fields of theoretical, applied, and computational mechanics are increasingly using innovative variational techniques. The workshop intended to review some of the recent advances stemming from the successful interaction between the two communities, and to identify promising areas for further cooperation. Talks were devoted to a wide spectrum of analytical techniques and of physical systems and phenomena. They included the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, variational techniques for the study of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, concentrated contact interactions, and phase transitions in biaxial liquid crystals. This volume collects contributions authored or co-authored by 11 of the 20 speakers invited to deliver lectures at the workshop. They all contain original results in fields which are at the forefront of current research, and in rapid evolution. Nota de contenido: Remarks on a Multiscale Approach to Grain Growth in Polycrystals -- Another Brick in the Wall -- Variational Problems for Functionals Involving the Value Distribution -- Bi-Modal Cohesive Energies -- Criterion for Tricritical Points in Liquid Crystal Phases -- Asymptotics of Boundary Value Problems for Supercritical Ginzburg-Landau Energies -- An Introduction to H-measures and Their Applications -- A Singular Perturbation Result with a Fractional Norm -- Smooth and Creased Equilibria for Elastic-plastic Plates and Beams -- On Concentrated Contact Interactions -- Discontinuous Hysteresis and P.D.E.s En línea: http://dx.doi.org/10.1007/3-7643-7565-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35021 Variational Problems in Materials Science [documento electrónico] / SpringerLink (Online service) ; Gianni dal Maso ; Antonio DeSimone ; Franco Tomarelli . - Basel : Birkhäuser Basel, 2006 . - X, 162 p : online resource. - (Progress in Nonlinear Differential Equations and Their Applications; 68) .
ISBN : 978-3-7643-7565-2
Idioma : Inglés (eng)
Palabras clave: Materials science Partial differential equations Computer mathematics Mathematical models Calculus of variations Science Science, general Differential Equations Variations and Optimal Control; Optimization Computational Mathematics Numerical Analysis Engineering Modeling Industrial Clasificación: 51 Matemáticas Resumen: This volume contains the proceedings of the international workshop Variational Problems in Materials Science, which was jointly organized by the International School for Advanced Studies (SISSA) of Trieste and by the Dipartimento di Matematica ``Francesco Brioschi'' of the Politecnico di Milano. The conference took place at SISSA from September 6 to 10, 2004. The study of variational problems in materials science has a long history, and it has contributed a lot in shaping our understanding on how materials work and perform. There is, however, a recent renewed interest in this subject as a consequence of the fruitful interaction between mathematical analysis and the modelling of new, technologically advanced materials. On one hand, a sizable group of analysts has found in materials science a valuable source of inspiration for new variational theories and interesting problems. On the other hand, workers in the fields of theoretical, applied, and computational mechanics are increasingly using innovative variational techniques. The workshop intended to review some of the recent advances stemming from the successful interaction between the two communities, and to identify promising areas for further cooperation. Talks were devoted to a wide spectrum of analytical techniques and of physical systems and phenomena. They included the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, variational techniques for the study of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, concentrated contact interactions, and phase transitions in biaxial liquid crystals. This volume collects contributions authored or co-authored by 11 of the 20 speakers invited to deliver lectures at the workshop. They all contain original results in fields which are at the forefront of current research, and in rapid evolution. Nota de contenido: Remarks on a Multiscale Approach to Grain Growth in Polycrystals -- Another Brick in the Wall -- Variational Problems for Functionals Involving the Value Distribution -- Bi-Modal Cohesive Energies -- Criterion for Tricritical Points in Liquid Crystal Phases -- Asymptotics of Boundary Value Problems for Supercritical Ginzburg-Landau Energies -- An Introduction to H-measures and Their Applications -- A Singular Perturbation Result with a Fractional Norm -- Smooth and Creased Equilibria for Elastic-plastic Plates and Beams -- On Concentrated Contact Interactions -- Discontinuous Hysteresis and P.D.E.s En línea: http://dx.doi.org/10.1007/3-7643-7565-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35021 Ejemplares
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Título : 8th Congress on Electronic Structure: Principles and Applications (ESPA 2012) : A Conference Selection from Theoretical Chemistry Accounts Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Juan J. Novoa ; Ruiz López, Manuel F Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2014 Otro editor: Imprint: Springer Colección: Highlights in Theoretical Chemistry, ISSN 2194-8666 num. 5 Número de páginas: VI, 230 p. 137 illus., 20 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-41272-1 Idioma : Inglés (eng) Palabras clave: Chemistry Chemistry, Physical and theoretical Atoms Physics Materials science Theoretical Computational Atomic, Molecular, Optical Plasma Characterization Evaluation of Clasificación: 658 Empresas. Organización de empresas Resumen: This volume collects research findings presented at the 8th Edition of the Electronic Structure: Principles and Applications (ESPA-2012) International Conference, held in Barcelona, Spain on June 26-29, 2012. The contributions cover research work on methods and fundamentals of theoretical chemistry, chemical reactivity, bimolecular modeling, and materials science. Originally published in the journal Theoretical Chemistry Accounts, these outstanding papers are now available in a hardcover print format, as well as a special electronic edition. This volume provides valuable content for all researchers in theoretical chemistry, and will especially benefit those research groups and libraries with limited access to the journal Nota de contenido: From the Contents: Analysis of the origin of lateral interactions in the adsorption of small organic molecules on oxide surfaces -- First-principles study of structure and stability in Si–C–O-based materials -- A time-dependent DFT/molecular dynamics study of the proton-wire responsible for the red fluorescence in the LSSmKate2 protein -- Preface to the ESPA-2012 special issue En línea: http://dx.doi.org/10.1007/978-3-642-41272-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=36173 8th Congress on Electronic Structure: Principles and Applications (ESPA 2012) : A Conference Selection from Theoretical Chemistry Accounts [documento electrónico] / SpringerLink (Online service) ; Juan J. Novoa ; Ruiz López, Manuel F . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014 . - VI, 230 p. 137 illus., 20 illus. in color : online resource. - (Highlights in Theoretical Chemistry, ISSN 2194-8666; 5) .
ISBN : 978-3-642-41272-1
Idioma : Inglés (eng)
Palabras clave: Chemistry Chemistry, Physical and theoretical Atoms Physics Materials science Theoretical Computational Atomic, Molecular, Optical Plasma Characterization Evaluation of Clasificación: 658 Empresas. Organización de empresas Resumen: This volume collects research findings presented at the 8th Edition of the Electronic Structure: Principles and Applications (ESPA-2012) International Conference, held in Barcelona, Spain on June 26-29, 2012. The contributions cover research work on methods and fundamentals of theoretical chemistry, chemical reactivity, bimolecular modeling, and materials science. Originally published in the journal Theoretical Chemistry Accounts, these outstanding papers are now available in a hardcover print format, as well as a special electronic edition. This volume provides valuable content for all researchers in theoretical chemistry, and will especially benefit those research groups and libraries with limited access to the journal Nota de contenido: From the Contents: Analysis of the origin of lateral interactions in the adsorption of small organic molecules on oxide surfaces -- First-principles study of structure and stability in Si–C–O-based materials -- A time-dependent DFT/molecular dynamics study of the proton-wire responsible for the red fluorescence in the LSSmKate2 protein -- Preface to the ESPA-2012 special issue En línea: http://dx.doi.org/10.1007/978-3-642-41272-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=36173 Ejemplares
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