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Mechanics of Generalized Continua

✍ Scribed by Gérard A. Maugin (auth.), Holm Altenbach, Gérard A. Maugin, Vladimir Erofeev (eds.)

Publisher
Springer-Verlag Berlin Heidelberg
Year
2011
Tongue
English
Leaves
371
Series
Advanced Structured Materials 7
Edition
1
Category
Library
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✦ Synopsis

This collection on „Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications“ brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

✦ Table of Contents

Front Matter....Pages i-xix
Front Matter....Pages 1-1
A Historical Perspective of Generalized Continuum Mechanics....Pages 3-19
Front Matter....Pages 21-21
Micropolar Shells as Two-dimensional Generalized Continua Models....Pages 23-55
Structural Dynamics and Generalized Continua....Pages 57-76
A Bending-gradient Theory for Thick Laminated Plates Homogenization....Pages 77-95
Front Matter....Pages 97-97
Internal Length Scale Effects on the Local and Overall Behavior of Polycrystals....Pages 99-136
Formulations of Strain Gradient Plasticity....Pages 137-149
On one Model of Generalized Continuum and its Thermodynamical Interpretation....Pages 151-174
Micromechanical Bases of Superelastic Behavior of Certain Biopolymers....Pages 175-192
Construction of Micropolar Continua from the Homogenization of Repetitive Planar Lattices....Pages 193-217
Front Matter....Pages 219-219
Nonlinear Waves in the Cosserat Continuum with Constrained Rotation....Pages 221-230
Wave Propagation in Quasi-continuous Linear Chains with Self-similar Harmonic Interactions: Towards a Fractal Mechanics....Pages 231-244
Nonlinear Dynamic Processes in Media with Internal Structure....Pages 245-254
Buckling of Elastic Composite Rods made of Micropolar Material Subjected to Combined Loads....Pages 255-271
Front Matter....Pages 273-273
Theory of Isolated and Continuously Distributed Disclinations and Dislocations in Micropolar Media....Pages 275-290
On the Form-Invariance of Lagrangian Function for Higher Gradient Continuum....Pages 291-322
Front Matter....Pages 323-323
Cahn-Hilliard Generalized Diffusion Modeling Using the Natural Element Method....Pages 325-337
Constitutive Models of Mechanical Behavior of Media with Stress State Dependent Material Properties....Pages 339-350

✦ Subjects

Characterization and Evaluation of Materials;Continuum Mechanics and Mechanics of Materials;Numerical Analysis;Mechanics

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