The Resource Mechanics of generalized continua : one hundred years after the Cosserats, edited by Gérard A. Maugin, Andrei V. Metrikine
Mechanics of generalized continua : one hundred years after the Cosserats, edited by Gérard A. Maugin, Andrei V. Metrikine
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The item Mechanics of generalized continua : one hundred years after the Cosserats, edited by Gérard A. Maugin, Andrei V. Metrikine represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Mechanics of generalized continua : one hundred years after the Cosserats, edited by Gérard A. Maugin, Andrei V. Metrikine represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 stronglynonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywheredefective 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
 Language
 eng
 Extent
 1 online resource (xix, 337 pages)
 Contents

 On the Cosserat's works
 Generalized Continuum Mechanics: What¡Do¡We Mean by That?
 On SemiHolonomic Cosserat Media
 Cosserat media (rigidly rotating microstructure)
 On the Theories of Plates Based on¡the¡Cosserat¡Approach
 Cracks in Cosserat ContinuumMacroscopic Modeling
 Micropolar Fluids: From Nematic Liquid Crystals to LiquidLike 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¡NonLinear 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
 ReissnerMindlin Shear Moduli of a Sandwich Panel with Periodic Core Material
 Waves in ResidualSaturated 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 2ndGrade 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
 HigherOrder Mesoscopic Theories of Plasticity Based on Discrete Dislocation Interactions
 Numerical problems
 An Approach Based on Integral Equations for¡Crack Problems in¡Standard CoupleStress 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 ElectroMechanical 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
 Isbn
 9781441956958
 Label
 Mechanics of generalized continua : one hundred years after the Cosserats
 Title
 Mechanics of generalized continua
 Title remainder
 one hundred years after the Cosserats
 Statement of responsibility
 edited by Gérard A. Maugin, Andrei V. Metrikine
 Language
 eng
 Summary
 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 stronglynonlocal theories, gradient theories of elasticity and plasticity, defect theory, everywheredefective 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
 Cataloging source
 GW5XE
 Dewey number
 531
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA808.2
 LC item number
 .M43 2010
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1944
 http://library.link/vocab/relatedWorkOrContributorName

 Maugin, G. A.
 Metrikine, Andrei V
 Series statement
 Advances in mechanics and mathematics,
 Series volume
 v. 21
 http://library.link/vocab/subjectName

 Continuum mechanics
 Continuum mechanics
 Label
 Mechanics of generalized continua : one hundred years after the Cosserats, edited by Gérard A. Maugin, Andrei V. Metrikine
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On the Cosserat's works  Generalized Continuum Mechanics: What¡Do¡We Mean by That?  On SemiHolonomic Cosserat Media  Cosserat media (rigidly rotating microstructure)  On the Theories of Plates Based on¡the¡Cosserat¡Approach  Cracks in Cosserat ContinuumMacroscopic Modeling  Micropolar Fluids: From Nematic Liquid Crystals to LiquidLike 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¡NonLinear 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  ReissnerMindlin Shear Moduli of a Sandwich Panel with Periodic Core Material  Waves in ResidualSaturated 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 2ndGrade 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  HigherOrder Mesoscopic Theories of Plasticity Based on Discrete Dislocation Interactions  Numerical problems  An Approach Based on Integral Equations for¡Crack Problems in¡Standard CoupleStress 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 ElectroMechanical 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
 Control code
 630057621
 Dimensions
 unknown
 Extent
 1 online resource (xix, 337 pages)
 Form of item
 online
 Isbn
 9781441956958
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441956958
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441956941
 Specific material designation
 remote
 System control number
 (OCoLC)630057621
 Label
 Mechanics of generalized continua : one hundred years after the Cosserats, edited by Gérard A. Maugin, Andrei V. Metrikine
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On the Cosserat's works  Generalized Continuum Mechanics: What¡Do¡We Mean by That?  On SemiHolonomic Cosserat Media  Cosserat media (rigidly rotating microstructure)  On the Theories of Plates Based on¡the¡Cosserat¡Approach  Cracks in Cosserat ContinuumMacroscopic Modeling  Micropolar Fluids: From Nematic Liquid Crystals to LiquidLike 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¡NonLinear 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  ReissnerMindlin Shear Moduli of a Sandwich Panel with Periodic Core Material  Waves in ResidualSaturated 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 2ndGrade 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  HigherOrder Mesoscopic Theories of Plasticity Based on Discrete Dislocation Interactions  Numerical problems  An Approach Based on Integral Equations for¡Crack Problems in¡Standard CoupleStress 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 ElectroMechanical 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
 Control code
 630057621
 Dimensions
 unknown
 Extent
 1 online resource (xix, 337 pages)
 Form of item
 online
 Isbn
 9781441956958
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441956958
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441956941
 Specific material designation
 remote
 System control number
 (OCoLC)630057621
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