Mechanics of generalized continua one hundred years after the Cosserats /
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 mech...
| Other Authors: | Maugin, G. A. 1944-, Metrikine, Andrei V., SpringerLink (Online Service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
©2010.
|
| Physical Description: |
1 online resource (xix, 337 pages) : illustrations. |
| Series: |
Advances in mechanics and mathematics ;
v. 21. |
| Subjects: |
Table of Contents:
- 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.