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Título : Mechanics of Generalized Continua : One Hundred Years After the Cosserats Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Gérard A. Maugin ; Andrei V. Metrikine Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 21 Número de páginas: XIX, 337 p. 68 illus., 11 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4419-5695-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical models Applied mathematics Engineering Continuum mechanics Modeling and Industrial Mechanics of Materials Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics. The diverse topics covered include: the properties of Cosserat media, micromorphic bodies, micropolar solids and fluids, weakly- and strongly-nonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywhere-defective materials, bodies with fractal structure, as well as other related topics. Key features: - Focuses on recent developments in continuum mechanics and materials design, including numerical examples and newly developed models. - Presents numerical examples to demonstrate the efficiency of various solution techniques. - Provides a unique overview of generalized continuum mechanics, illustrating the important applications of this theory in various other scientific disciplines. - Includes a foreword written by renowned physicist and materials scientist A.C. Eringen. Mechanics of Generalized Continua can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics Nota de contenido: On the Cosserat's works -- Generalized Continuum Mechanics: What Do We Mean by That? -- On Semi-Holonomic Cosserat Media -- Cosserat media (rigidly rotating microstructure) -- On the Theories of Plates Based on the Cosserat Approach -- Cracks in Cosserat Continuum—Macroscopic Modeling -- Micropolar Fluids: From Nematic Liquid Crystals to Liquid-Like Granular Media -- Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness -- Application of Generalized Continuum Theory to the Problem of Vibration Decay in the Complex Mechanical Structures -- Measuring of Cosserat Effects and Reconstruction of Moduli Using Dispersive Waves -- Natural Lagrangian Strain Measures of the Non-Linear Cosserat Continuum -- Practical Applications of Simple Cosserat Methods -- Micromorphic media (deformable microstructure) -- Requirements on Periodic Micromorphic Media -- Extending Micromorphic Theory to Atomic Scale -- From the discrete to the continuum description (Cosserat and other continua often in relation to dynamical properties, homogenization) -- Nonlinear Theory of Cardinal Rearrangement of the Solid Body Structure in the Field of Intensive Pressure -- Generalized Beams and Continua. Dynamics of Reticulated Structures -- Wave Propagation in Damaged Materials Using a New Generalized Continuum Model -- On the Uniqueness of the Lagrangian of Gradient Elastic Continua -- Dynamic Properties of Essentially Nonlinear Generalized Continua -- Reissner–Mindlin Shear Moduli of a Sandwich Panel with Periodic Core Material -- Waves in Residual-Saturated Porous Media -- Gradient theory (weakly nonlocal theories) -- A Personal View on Current Generalized Theories of Elasticity and Plastic Flow -- Review and Critique of the Stress Gradient Elasticity Theories of Eringen and Aifantis -- On Natural Boundary Conditions in Linear 2nd-Grade Elasticity -- Gradient Theory of Media with Conserved Dislocations: Application to Microstructured Materials -- Complex structured media (often with application to dislocations) -- Dislocations in Generalized Continuum Mechanics -- Higher-Order Mesoscopic Theories of Plasticity Based on Discrete Dislocation Interactions -- Numerical problems -- An Approach Based on Integral Equations for Crack Problems in Standard Couple-Stress Elasticity -- A Cosserat Point Element (CPE) for the Numerical Solution of Problems in Finite Elasticity -- Discretization of Gradient Elasticity Problems Using C1 Finite Elements -- C1 Discretizations for the Application to Gradient Elasticity -- A Generalized Framework and a Multiplicative Formulation of Electro-Mechanical Coupling -- Beyond the Cosserats: Original approaches (kinematics, geometry, fractals) -- Generalized Variational Principle for Dissipative Continuum Mechanics -- Cosserat Continua Described by Mesoscopic Theory -- Fractal Solids, Product Measures and Continuum Mechanics -- Magnetoelasticity of Thin Shells and Plates Based on the Asymmetrical Theory of Elasticity En línea: http://dx.doi.org/10.1007/978-1-4419-5695-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33617 Mechanics of Generalized Continua : One Hundred Years After the Cosserats [documento electrónico] / SpringerLink (Online service) ; Gérard A. Maugin ; Andrei V. Metrikine . - New York, NY : Springer New York, 2010 . - XIX, 337 p. 68 illus., 11 illus. in color : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 21) .
ISBN : 978-1-4419-5695-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical models Applied mathematics Engineering Continuum mechanics Modeling and Industrial Mechanics of Materials Appl.Mathematics/Computational Methods Clasificación: 51 Matemáticas Resumen: In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics. The diverse topics covered include: the properties of Cosserat media, micromorphic bodies, micropolar solids and fluids, weakly- and strongly-nonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywhere-defective materials, bodies with fractal structure, as well as other related topics. Key features: - Focuses on recent developments in continuum mechanics and materials design, including numerical examples and newly developed models. - Presents numerical examples to demonstrate the efficiency of various solution techniques. - Provides a unique overview of generalized continuum mechanics, illustrating the important applications of this theory in various other scientific disciplines. - Includes a foreword written by renowned physicist and materials scientist A.C. Eringen. Mechanics of Generalized Continua can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics Nota de contenido: On the Cosserat's works -- Generalized Continuum Mechanics: What Do We Mean by That? -- On Semi-Holonomic Cosserat Media -- Cosserat media (rigidly rotating microstructure) -- On the Theories of Plates Based on the Cosserat Approach -- Cracks in Cosserat Continuum—Macroscopic Modeling -- Micropolar Fluids: From Nematic Liquid Crystals to Liquid-Like Granular Media -- Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness -- Application of Generalized Continuum Theory to the Problem of Vibration Decay in the Complex Mechanical Structures -- Measuring of Cosserat Effects and Reconstruction of Moduli Using Dispersive Waves -- Natural Lagrangian Strain Measures of the Non-Linear Cosserat Continuum -- Practical Applications of Simple Cosserat Methods -- Micromorphic media (deformable microstructure) -- Requirements on Periodic Micromorphic Media -- Extending Micromorphic Theory to Atomic Scale -- From the discrete to the continuum description (Cosserat and other continua often in relation to dynamical properties, homogenization) -- Nonlinear Theory of Cardinal Rearrangement of the Solid Body Structure in the Field of Intensive Pressure -- Generalized Beams and Continua. Dynamics of Reticulated Structures -- Wave Propagation in Damaged Materials Using a New Generalized Continuum Model -- On the Uniqueness of the Lagrangian of Gradient Elastic Continua -- Dynamic Properties of Essentially Nonlinear Generalized Continua -- Reissner–Mindlin Shear Moduli of a Sandwich Panel with Periodic Core Material -- Waves in Residual-Saturated Porous Media -- Gradient theory (weakly nonlocal theories) -- A Personal View on Current Generalized Theories of Elasticity and Plastic Flow -- Review and Critique of the Stress Gradient Elasticity Theories of Eringen and Aifantis -- On Natural Boundary Conditions in Linear 2nd-Grade Elasticity -- Gradient Theory of Media with Conserved Dislocations: Application to Microstructured Materials -- Complex structured media (often with application to dislocations) -- Dislocations in Generalized Continuum Mechanics -- Higher-Order Mesoscopic Theories of Plasticity Based on Discrete Dislocation Interactions -- Numerical problems -- An Approach Based on Integral Equations for Crack Problems in Standard Couple-Stress Elasticity -- A Cosserat Point Element (CPE) for the Numerical Solution of Problems in Finite Elasticity -- Discretization of Gradient Elasticity Problems Using C1 Finite Elements -- C1 Discretizations for the Application to Gradient Elasticity -- A Generalized Framework and a Multiplicative Formulation of Electro-Mechanical Coupling -- Beyond the Cosserats: Original approaches (kinematics, geometry, fractals) -- Generalized Variational Principle for Dissipative Continuum Mechanics -- Cosserat Continua Described by Mesoscopic Theory -- Fractal Solids, Product Measures and Continuum Mechanics -- Magnetoelasticity of Thin Shells and Plates Based on the Asymmetrical Theory of Elasticity En línea: http://dx.doi.org/10.1007/978-1-4419-5695-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33617 Ejemplares
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Título : Mechanics of Material Forces Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Paul Steinmann ; Gérard A. Maugin Editorial: Boston, MA : Springer US Fecha de publicación: 2005 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 11 Número de páginas: XVI, 338 p Il.: online resource ISBN/ISSN/DL: 978-0-387-26261-1 Idioma : Inglés (eng) Palabras clave: Materials science Mathematics Mathematical models Physics Computational intelligence Continuum mechanics Science Science, general Mathematics, Modeling and Industrial Mechanics of Methods in Intelligence Clasificación: 51 Matemáticas Resumen: In this single volume the reader will find all recent developments in one of the most promising and rapidly expanding branches of continuum mechanics, the mechanics of material forces. The book covers both theoretical and numerical developments. Conceptually speaking, common continuum mechanics in the sense of Newton—which gives rise to the notion of spatial (mechanical) forces—considers the response to variations of spatial placements of "physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby—which gives rise to the notion of material (configurational) forces—is concerned with the response to variations of material placements of "physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler forece, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics. Audience This book is suitable for civil and mechanical engineers, physicists and applied mathematicians Nota de contenido: 4d Formalism -- On Establishing Balance and Conservation Laws in Elastodynamics -- From Mathematical Physics to Engineering Science -- Evolving Interfaces -- The Unifying Nature of the Configurational Force Balance -- Generalized Stefan Models -- Explicit Kinetic Relation from “First Principles” -- Growth & Biomechanics -- Surface and Bulk Growth Unified -- Mechanical and Thermodynamical Modelling of Tissue Growth Using Domain Derivation Techniques -- Material Forces in the Context of Biotissue Remodelling -- Numerical Aspects -- Error-Controlled Adaptive Finite Element Methods in Nonlinear Elastic Fracture Mechanics -- Material Force Method. Continuum Damage & Thermo-Hyperelasticity -- Discrete Material Forces in the Finite Element Method -- Computational Spatial and Material Settings of Continuum Mechanics. An Arbitrary Lagrangian Eulerian Formulation -- Dislocations & Peach-Koehler-Forces -- Self-Driven continuous Dislocations and Growth -- Role of the Non-Riemannian Plastic Connection in Finite Elasto-Plasticity with Continuous Distribution of Dislocations -- Peach-Koehler Forces within the Theory of Nonlocal Elasticity -- Multiphysics & Microstructure -- On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics -- Continuum Thermodynamic and Variational Models for Continua with Microstructure and Material Inhomogeneity -- A Crystal Structure-Based Eigentransformation and its Work-Conjugate Material Stress -- Fracture & Structural Optimization -- Teaching Fracture Mechanics Within the Theory of Strength-of-Materials -- Configurational Thermomech-Anics and Crack Driving Forces -- Structural Optimization by Material Forces -- On Structural Optimisation and Configurational Mechanics -- Path Integrals -- Configurational Forces and the Propagation of a Circular Crack in an Elastic Body -- Thermoplastic M Integral and Path Domain Dependence -- Delamination & Discontinuities -- Peeling Tapes -- Stability and Bifurcation with Moving Discontinuities -- On Fracture Modelling Based on Inverse Strong Discontinuities -- Interfaces & Phase Transition -- Maxwell’s Relation for Isotropic Bodies -- Driving Force in Simulation of Phase Transition Front Propagation -- Modeling of the Thermal Treatment of Steel With Phase Changes -- Plasticity & Damage -- Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics -- Some Class of SG Continuum Models to Connect Various Length Scales in Plastic Deformation -- Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces En línea: http://dx.doi.org/10.1007/b137232 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35095 Mechanics of Material Forces [documento electrónico] / SpringerLink (Online service) ; Paul Steinmann ; Gérard A. Maugin . - Boston, MA : Springer US, 2005 . - XVI, 338 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 11) .
ISBN : 978-0-387-26261-1
Idioma : Inglés (eng)
Palabras clave: Materials science Mathematics Mathematical models Physics Computational intelligence Continuum mechanics Science Science, general Mathematics, Modeling and Industrial Mechanics of Methods in Intelligence Clasificación: 51 Matemáticas Resumen: In this single volume the reader will find all recent developments in one of the most promising and rapidly expanding branches of continuum mechanics, the mechanics of material forces. The book covers both theoretical and numerical developments. Conceptually speaking, common continuum mechanics in the sense of Newton—which gives rise to the notion of spatial (mechanical) forces—considers the response to variations of spatial placements of "physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby—which gives rise to the notion of material (configurational) forces—is concerned with the response to variations of material placements of "physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler forece, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics. Audience This book is suitable for civil and mechanical engineers, physicists and applied mathematicians Nota de contenido: 4d Formalism -- On Establishing Balance and Conservation Laws in Elastodynamics -- From Mathematical Physics to Engineering Science -- Evolving Interfaces -- The Unifying Nature of the Configurational Force Balance -- Generalized Stefan Models -- Explicit Kinetic Relation from “First Principles” -- Growth & Biomechanics -- Surface and Bulk Growth Unified -- Mechanical and Thermodynamical Modelling of Tissue Growth Using Domain Derivation Techniques -- Material Forces in the Context of Biotissue Remodelling -- Numerical Aspects -- Error-Controlled Adaptive Finite Element Methods in Nonlinear Elastic Fracture Mechanics -- Material Force Method. Continuum Damage & Thermo-Hyperelasticity -- Discrete Material Forces in the Finite Element Method -- Computational Spatial and Material Settings of Continuum Mechanics. An Arbitrary Lagrangian Eulerian Formulation -- Dislocations & Peach-Koehler-Forces -- Self-Driven continuous Dislocations and Growth -- Role of the Non-Riemannian Plastic Connection in Finite Elasto-Plasticity with Continuous Distribution of Dislocations -- Peach-Koehler Forces within the Theory of Nonlocal Elasticity -- Multiphysics & Microstructure -- On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics -- Continuum Thermodynamic and Variational Models for Continua with Microstructure and Material Inhomogeneity -- A Crystal Structure-Based Eigentransformation and its Work-Conjugate Material Stress -- Fracture & Structural Optimization -- Teaching Fracture Mechanics Within the Theory of Strength-of-Materials -- Configurational Thermomech-Anics and Crack Driving Forces -- Structural Optimization by Material Forces -- On Structural Optimisation and Configurational Mechanics -- Path Integrals -- Configurational Forces and the Propagation of a Circular Crack in an Elastic Body -- Thermoplastic M Integral and Path Domain Dependence -- Delamination & Discontinuities -- Peeling Tapes -- Stability and Bifurcation with Moving Discontinuities -- On Fracture Modelling Based on Inverse Strong Discontinuities -- Interfaces & Phase Transition -- Maxwell’s Relation for Isotropic Bodies -- Driving Force in Simulation of Phase Transition Front Propagation -- Modeling of the Thermal Treatment of Steel With Phase Changes -- Plasticity & Damage -- Configurational Stress Tensor in Anisotropic Ductile Continuum Damage Mechanics -- Some Class of SG Continuum Models to Connect Various Length Scales in Plastic Deformation -- Weakly Nonlocal Theories of Damage and Plasticity Based on Balance of Dissipative Material Forces En línea: http://dx.doi.org/10.1007/b137232 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35095 Ejemplares
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Título : Plasticity : Mathematical Theory and Numerical Analysis Tipo de documento: documento electrónico Autores: Weimin Han ; SpringerLink (Online service) ; B. Daya Reddy Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 9 Número de páginas: XVI, 424 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-5940-8 Idioma : Inglés (eng) Palabras clave: Mathematics Numerical analysis Mechanics Mechanics, Applied Continuum mechanics Analysis Theoretical and of Materials Clasificación: 51 Matemáticas Resumen: This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews) Nota de contenido: Preface to the Second Edition -- Preface to the First Edition.-Preliminaries -- Continuum Mechanics and Linearized Elasticity -- Elastoplastic Media -- The Plastic Flow Law in a Convex-Analytic Setting -- Basics of Functional Analysis and Function Spaces -- Variational Equations and Inequalities -- The Primal Variational Problem of Elastoplasticity -- The Dual Variational Problem of Classical Elastoplasticity -- Introduction to Finite Element Analysis -- Approximation of Variational Problems -- Approximations of the Abstract Problem -- Numerical Analysis of the Primal Problem -- References -- Index.- En línea: http://dx.doi.org/10.1007/978-1-4614-5940-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32276 Plasticity : Mathematical Theory and Numerical Analysis [documento electrónico] / Weimin Han ; SpringerLink (Online service) ; B. Daya Reddy . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XVI, 424 p : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 9) .
ISBN : 978-1-4614-5940-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Numerical analysis Mechanics Mechanics, Applied Continuum mechanics Analysis Theoretical and of Materials Clasificación: 51 Matemáticas Resumen: This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews) Nota de contenido: Preface to the Second Edition -- Preface to the First Edition.-Preliminaries -- Continuum Mechanics and Linearized Elasticity -- Elastoplastic Media -- The Plastic Flow Law in a Convex-Analytic Setting -- Basics of Functional Analysis and Function Spaces -- Variational Equations and Inequalities -- The Primal Variational Problem of Elastoplasticity -- The Dual Variational Problem of Classical Elastoplasticity -- Introduction to Finite Element Analysis -- Approximation of Variational Problems -- Approximations of the Abstract Problem -- Numerical Analysis of the Primal Problem -- References -- Index.- En línea: http://dx.doi.org/10.1007/978-1-4614-5940-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32276 Ejemplares
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Título : Special Topics in the Theory of Piezoelectricity Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Jiashi Yang Editorial: New York, NY : Springer New York Fecha de publicación: 2009 Número de páginas: XII, 329 p. 89 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-89498-0 Idioma : Inglés (eng) Palabras clave: Mathematics Special functions Optics Electrodynamics Mechanics Mechanics, Applied Continuum mechanics Functions and of Materials Theoretical Clasificación: 51 Matemáticas Resumen: Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. Every chapter is self-contained and written by international experts who elaborate on special topics. Key features include: * Systematic exposition of topics: from a brief summary of the 3-dimensional theory of linear piezoelectricity to selected topics within the linear theory; and the theory of small fields superposed on a finite bias; * Provides a broad overview of piezoelectric (or electroelastic) materials such as single crystals and ceramics that play a key role in this innovative field; examples provided throughout; *Treats new applications to piezoelectric materials and devices in electronics engineering and civil, mechanical, and aerospace engineering structure; * Examines in detail numerical analysis methods to optimize the design of piezoelectric structures and devices. This book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances of piezoelectricity and its new applications, and may be used as a supplemental text to a course where piezoelectricity is a focus. Also by Jiashi Yang: An Introduction to the Theory of Piezoelectricity, © 2005 Springer, 978-0-387-23573-8 Nota de contenido: Basic Equations -- Green’s Functions -- Two-Dimensional Static Problems: Stroh Formalism -- Fracture and Crack Mechanics -- Boundary Element Method -- Waves in Strained/Polarized Media -- Fully Dynamic Theory -- Nonlocal and Gradient Effects En línea: http://dx.doi.org/10.1007/978-0-387-89498-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33920 Special Topics in the Theory of Piezoelectricity [documento electrónico] / SpringerLink (Online service) ; Jiashi Yang . - New York, NY : Springer New York, 2009 . - XII, 329 p. 89 illus : online resource.
ISBN : 978-0-387-89498-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Special functions Optics Electrodynamics Mechanics Mechanics, Applied Continuum mechanics Functions and of Materials Theoretical Clasificación: 51 Matemáticas Resumen: Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. Every chapter is self-contained and written by international experts who elaborate on special topics. Key features include: * Systematic exposition of topics: from a brief summary of the 3-dimensional theory of linear piezoelectricity to selected topics within the linear theory; and the theory of small fields superposed on a finite bias; * Provides a broad overview of piezoelectric (or electroelastic) materials such as single crystals and ceramics that play a key role in this innovative field; examples provided throughout; *Treats new applications to piezoelectric materials and devices in electronics engineering and civil, mechanical, and aerospace engineering structure; * Examines in detail numerical analysis methods to optimize the design of piezoelectric structures and devices. This book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances of piezoelectricity and its new applications, and may be used as a supplemental text to a course where piezoelectricity is a focus. Also by Jiashi Yang: An Introduction to the Theory of Piezoelectricity, © 2005 Springer, 978-0-387-23573-8 Nota de contenido: Basic Equations -- Green’s Functions -- Two-Dimensional Static Problems: Stroh Formalism -- Fracture and Crack Mechanics -- Boundary Element Method -- Waves in Strained/Polarized Media -- Fully Dynamic Theory -- Nonlocal and Gradient Effects En línea: http://dx.doi.org/10.1007/978-0-387-89498-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33920 Ejemplares
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Título : Classical Mechanics : Theory and Mathematical Modeling Tipo de documento: documento electrónico Autores: Emmanuele DiBenedetto ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2011 Otro editor: Imprint: Birkhäuser Colección: Cornerstones Número de páginas: XX, 351 p. 63 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4648-6 Idioma : Inglés (eng) Palabras clave: Mathematics Dynamics Ergodic theory Applied mathematics Engineering Geometry Physics Mechanics Mechanics, Applications of Mathematical Methods in Dynamical Systems and Theory Theoretical Clasificación: 51 Matemáticas Resumen: Classical mechanics is a chief example of the scientific method organizing a "complex" collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton–Jacobi theory, but at the same time features unique examples—such as the spinning top including friction and gyroscopic compass—seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail. Using a pedagogical approach, the author covers many topics that are gradually developed and motivated by classical examples. Through `Problems and Complements' sections at the end of each chapter, the work presents various questions in an extended presentation that is extremely useful for an interdisciplinary audience trying to master the subject. Beautiful illustrations, unique examples, and useful remarks are key features throughout the text. Classical Mechanics: Theory and Mathematical Modeling may serve as a textbook for advanced graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference or self-study guide for applied mathematicians and mathematical physicists. Prerequisites include a working knowledge of linear algebra, multivariate calculus, the basic theory of ordinary differential equations, and elementary physics Nota de contenido: Preface -- Geometry of Motion -- Constraints and Lagrangian Coordinates -- Dynamics of a Point Mass -- Geometry of Masses -- Systems Dynamics -- The Lagrange Equations -- Precessions -- Variational Principles -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4648-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33087 Classical Mechanics : Theory and Mathematical Modeling [documento electrónico] / Emmanuele DiBenedetto ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011 . - XX, 351 p. 63 illus : online resource. - (Cornerstones) .
ISBN : 978-0-8176-4648-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Dynamics Ergodic theory Applied mathematics Engineering Geometry Physics Mechanics Mechanics, Applications of Mathematical Methods in Dynamical Systems and Theory Theoretical Clasificación: 51 Matemáticas Resumen: Classical mechanics is a chief example of the scientific method organizing a "complex" collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton–Jacobi theory, but at the same time features unique examples—such as the spinning top including friction and gyroscopic compass—seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail. Using a pedagogical approach, the author covers many topics that are gradually developed and motivated by classical examples. Through `Problems and Complements' sections at the end of each chapter, the work presents various questions in an extended presentation that is extremely useful for an interdisciplinary audience trying to master the subject. Beautiful illustrations, unique examples, and useful remarks are key features throughout the text. Classical Mechanics: Theory and Mathematical Modeling may serve as a textbook for advanced graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference or self-study guide for applied mathematicians and mathematical physicists. Prerequisites include a working knowledge of linear algebra, multivariate calculus, the basic theory of ordinary differential equations, and elementary physics Nota de contenido: Preface -- Geometry of Motion -- Constraints and Lagrangian Coordinates -- Dynamics of a Point Mass -- Geometry of Masses -- Systems Dynamics -- The Lagrange Equations -- Precessions -- Variational Principles -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4648-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33087 Ejemplares
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