Buch, Englisch, Band 21, 337 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 771 g
One Hundred Years After the Cosserats
Buch, Englisch, Band 21, 337 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 771 g
Reihe: Advances in Mechanics and Mathematics
ISBN: 978-1-4419-5694-1
Verlag: Springer
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.
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.
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Weitere Infos & Material
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.- OnNatural 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.
