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Título : Analysis and Design of Descriptor Linear Systems Tipo de documento: documento electrónico Autores: Duan, Guang-Ren ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 23 Número de páginas: XX, 496 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-6397-0 Idioma : Inglés (eng) Palabras clave: Mathematics Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Dynamics Ergodic Differential equations Vibration Dynamical systems Systems and Theory Vibration, Systems, Control Linear Multilinear Algebras, Ordinary Equations Clasificación: 51 Matemáticas Resumen: Descriptor linear systems is an important and rich part of the general field of control systems theory. This book provides a systematic development of descriptor linear systems covering two aspects --- analysis and design. The text provides thorough introductions to the theory of continuous-time descriptor linear systems and to the basic results and recent advances in descriptor linear systems theory. Key features of Analysis and Design of Descriptor Linear Systems: • Introduces real-world examples of descriptor linear systems • Provides step-by-step algorithms for important analysis and design problems • Covers both basic and advanced results in the literature of continuous-time descriptor linear systems • Includes three appendices which supply additional relevant materials supporting the content of select chapters in the book The clear presentation of materials and extensive examples make this book easy to understand by a wide audience and therefore general readers will find this book to be a comprehensive introduction to the theory of descriptor linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a solid introduction and overview to some important problems in linear systems theory Nota de contenido: Descriptor Linear Systems Analysis -- Equivalence and Solutions of Descriptor Linear Systems -- Regular Descriptor Linear Systems -- Controllability and Observability -- Descriptor Linear Systems Design -- Regularization of Descriptor Linear Systems -- Dynamical Order Assignment and Normalization -- Impulse Elimination -- Pole Assignment and Stabilization -- Eigenstructure Assignment -- Optimal Control -- Observer Design -- Appendices -- Some Mathematical Results -- Rank-Constrained Matrix Matching and Least Square Problems -- Generalized Sylvester Matrix Equations En línea: http://dx.doi.org/10.1007/978-1-4419-6397-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33631 Analysis and Design of Descriptor Linear Systems [documento electrónico] / Duan, Guang-Ren ; SpringerLink (Online service) . - New York, NY : Springer New York, 2010 . - XX, 496 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 23) .
ISBN : 978-1-4419-6397-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Matrix theory Algebra Mathematical analysis Analysis (Mathematics) Dynamics Ergodic Differential equations Vibration Dynamical systems Systems and Theory Vibration, Systems, Control Linear Multilinear Algebras, Ordinary Equations Clasificación: 51 Matemáticas Resumen: Descriptor linear systems is an important and rich part of the general field of control systems theory. This book provides a systematic development of descriptor linear systems covering two aspects --- analysis and design. The text provides thorough introductions to the theory of continuous-time descriptor linear systems and to the basic results and recent advances in descriptor linear systems theory. Key features of Analysis and Design of Descriptor Linear Systems: • Introduces real-world examples of descriptor linear systems • Provides step-by-step algorithms for important analysis and design problems • Covers both basic and advanced results in the literature of continuous-time descriptor linear systems • Includes three appendices which supply additional relevant materials supporting the content of select chapters in the book The clear presentation of materials and extensive examples make this book easy to understand by a wide audience and therefore general readers will find this book to be a comprehensive introduction to the theory of descriptor linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a solid introduction and overview to some important problems in linear systems theory Nota de contenido: Descriptor Linear Systems Analysis -- Equivalence and Solutions of Descriptor Linear Systems -- Regular Descriptor Linear Systems -- Controllability and Observability -- Descriptor Linear Systems Design -- Regularization of Descriptor Linear Systems -- Dynamical Order Assignment and Normalization -- Impulse Elimination -- Pole Assignment and Stabilization -- Eigenstructure Assignment -- Optimal Control -- Observer Design -- Appendices -- Some Mathematical Results -- Rank-Constrained Matrix Matching and Least Square Problems -- Generalized Sylvester Matrix Equations En línea: http://dx.doi.org/10.1007/978-1-4419-6397-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33631 Ejemplares
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Título : Classical Mechanics : Applied Mechanics and Mechatronics Tipo de documento: documento electrónico Autores: Jan Awrejcewicz ; SpringerLink (Online service) ; Koruba, Zbigniew Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 30 Número de páginas: XXI, 250 p. 173 illus., 146 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-3978-3 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical physics Mechanics Mechatronics Physics Clasificación: 51 Matemáticas Resumen: This is the final volume of a triad of works by Jan Awrejcewicz (this third book with Zbigniew Koruba) devoted to classical mechanics. Classical Mechanics: Mechanics and Mechatronics presents a unique approach to studying mechanical and electromagnetic processes occurring in applied mechanics and mechatronics with emphasis on theory, modeling, and analysis and control of gyropscopic devices, including military applications. This volume address a wide spectrum of graduate students, postgraduate students, researchers, and instructors from the field of mechanics, this volume, and has a strong focus on advanced applications that will be of particular use and interest to engineers and designers practicing in the mechanical/mechatronic industry. Chapter 1 deals with dynamics in mechatronic systems. Dynamics of a rigid spherical body is studied in Chapter 2 with emphasis on applications. Chapters 3 and 4 are dedicated to the theory, evolution, and dynamics and control of the gyroscope and Chapter 5 focuses on gyroscopic control in the self-guidance systems of flying objects Nota de contenido: Preface -- List of Symbols -- 1. Dynamics in Mechatronic Systems -- 2. Equations of Motion of a Rigid Spherical Body -- 3. Theory of Gyroscopes -- 4. Dynamics and Control of a Gyroscope -- 5. Gyroscopic Control in Self-Guidance Systems of Flying Objects. En línea: http://dx.doi.org/10.1007/978-1-4614-3978-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32827 Classical Mechanics : Applied Mechanics and Mechatronics [documento electrónico] / Jan Awrejcewicz ; SpringerLink (Online service) ; Koruba, Zbigniew . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XXI, 250 p. 173 illus., 146 illus. in color : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 30) .
ISBN : 978-1-4614-3978-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical physics Mechanics Mechatronics Physics Clasificación: 51 Matemáticas Resumen: This is the final volume of a triad of works by Jan Awrejcewicz (this third book with Zbigniew Koruba) devoted to classical mechanics. Classical Mechanics: Mechanics and Mechatronics presents a unique approach to studying mechanical and electromagnetic processes occurring in applied mechanics and mechatronics with emphasis on theory, modeling, and analysis and control of gyropscopic devices, including military applications. This volume address a wide spectrum of graduate students, postgraduate students, researchers, and instructors from the field of mechanics, this volume, and has a strong focus on advanced applications that will be of particular use and interest to engineers and designers practicing in the mechanical/mechatronic industry. Chapter 1 deals with dynamics in mechatronic systems. Dynamics of a rigid spherical body is studied in Chapter 2 with emphasis on applications. Chapters 3 and 4 are dedicated to the theory, evolution, and dynamics and control of the gyroscope and Chapter 5 focuses on gyroscopic control in the self-guidance systems of flying objects Nota de contenido: Preface -- List of Symbols -- 1. Dynamics in Mechatronic Systems -- 2. Equations of Motion of a Rigid Spherical Body -- 3. Theory of Gyroscopes -- 4. Dynamics and Control of a Gyroscope -- 5. Gyroscopic Control in Self-Guidance Systems of Flying Objects. En línea: http://dx.doi.org/10.1007/978-1-4614-3978-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32827 Ejemplares
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Título : Classical Mechanics : Dynamics Tipo de documento: documento electrónico Autores: Jan Awrejcewicz ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 29 Número de páginas: XIV, 466 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-3740-6 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical physics Mechanics Physics Clasificación: 51 Matemáticas Resumen: This is the second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 covers dynamics of a particle and systems of particles, as well as rigid body motion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanical systems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and illustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamics of planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied in Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the text with geometric dynamics Nota de contenido: Preface -- 1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point -- 2. Mathematical and Physical Pendulum -- 3. Statics and Dynamics in Generalized Coordinates -- 4. Classical Equations of Dynamics -- 5. Theory of Impact -- 6. Vibrations of Mechanical Systems -- 7. Elements of Dynamics of Planets -- 8. Dynamics of Systems of Variable Mass -- 9. Body and Multibody Dynamics -- 10. Stationary Motions of a Rigid Body and their Stability. -11. Geometric Dynamics En línea: http://dx.doi.org/10.1007/978-1-4614-3740-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32817 Classical Mechanics : Dynamics [documento electrónico] / Jan Awrejcewicz ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XIV, 466 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 29) .
ISBN : 978-1-4614-3740-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical physics Mechanics Physics Clasificación: 51 Matemáticas Resumen: This is the second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 covers dynamics of a particle and systems of particles, as well as rigid body motion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanical systems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and illustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamics of planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied in Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the text with geometric dynamics Nota de contenido: Preface -- 1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point -- 2. Mathematical and Physical Pendulum -- 3. Statics and Dynamics in Generalized Coordinates -- 4. Classical Equations of Dynamics -- 5. Theory of Impact -- 6. Vibrations of Mechanical Systems -- 7. Elements of Dynamics of Planets -- 8. Dynamics of Systems of Variable Mass -- 9. Body and Multibody Dynamics -- 10. Stationary Motions of a Rigid Body and their Stability. -11. Geometric Dynamics En línea: http://dx.doi.org/10.1007/978-1-4614-3740-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32817 Ejemplares
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Título : Classical Mechanics : Kinematics and Statics Tipo de documento: documento electrónico Autores: Jan Awrejcewicz ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 28 Número de páginas: XIII, 440 p. 260 illus., 258 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-3791-8 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical physics Mechanics Engineering design Physics Design Clasificación: 51 Matemáticas Resumen: This is the first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from the same root. Moreover, the author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems. Classical Mechanics: Kinematics and Statics is addressed to a wide spectrum of undergraduate and graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering. This volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. It is also recommended as a supplementary textbook at the upper undergraduate and graduate levels. In Chapter 1 the fundamental principles of mechanics are formulated, illustrated, and discussed. Chapter 2 is devoted to statics and Chapter 3 presents the geometry of masses. Kinematics of a particle, the curvilinear and normal coordinates, and kinematic pairs and chains are the main focus of Chapter 4. Chapter 5 studies the kinematics of a rigid body and a composite motion of a particle. Chapter 6 ends the text with kinematics of a deformable body Nota de contenido: Preface -- 1. Fundamental Principles of Mechanics -- 2. Statics -- 3. Geometry of Masses -- 4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies -- 5. Kinematics of a Rigid Body and Composite Motion of a Point -- 6. Kinematics of a Deformable Body En línea: http://dx.doi.org/10.1007/978-1-4614-3791-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32820 Classical Mechanics : Kinematics and Statics [documento electrónico] / Jan Awrejcewicz ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XIII, 440 p. 260 illus., 258 illus. in color : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 28) .
ISBN : 978-1-4614-3791-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical physics Mechanics Engineering design Physics Design Clasificación: 51 Matemáticas Resumen: This is the first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from the same root. Moreover, the author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems. Classical Mechanics: Kinematics and Statics is addressed to a wide spectrum of undergraduate and graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering. This volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. It is also recommended as a supplementary textbook at the upper undergraduate and graduate levels. In Chapter 1 the fundamental principles of mechanics are formulated, illustrated, and discussed. Chapter 2 is devoted to statics and Chapter 3 presents the geometry of masses. Kinematics of a particle, the curvilinear and normal coordinates, and kinematic pairs and chains are the main focus of Chapter 4. Chapter 5 studies the kinematics of a rigid body and a composite motion of a particle. Chapter 6 ends the text with kinematics of a deformable body Nota de contenido: Preface -- 1. Fundamental Principles of Mechanics -- 2. Statics -- 3. Geometry of Masses -- 4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies -- 5. Kinematics of a Rigid Body and Composite Motion of a Point -- 6. Kinematics of a Deformable Body En línea: http://dx.doi.org/10.1007/978-1-4614-3791-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32820 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Mechanics of Generalized Continua / SpringerLink (Online service) ; Maugin, Gérard A ; Metrikine, Andrei V (2010)
Título : Mechanics of Generalized Continua : One Hundred Years After the Cosserats Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Maugin, Gérard A ; Metrikine, Andrei V 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) ; Maugin, Gérard A ; Metrikine, Andrei V . - 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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