Generalized Continua as Models for Materials: with Multi-scale Effects or Under Multi-field Actions

✍ Scribed by Holm Altenbach, Victor A. Eremeyev (auth.), Holm Altenbach, Samuel Forest, Anton Krivtsov (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 336
• Series: Advanced Structured Materials 22
• Edition: 1
• Category: Library

✦ Synopsis

This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications.
The main focus is directed on the following items
- Modelling and simulation of materials with significant microstructure,
- Generalized continua as a result of multi-scale models,
- Multi-field actions on materials resulting in generalized material models, and
- Comparison with discrete modelling approaches

✦ Table of Contents

Front Matter....Pages i-xii
Shells and Plates with Surface Effects....Pages 1-15
Geometrical Picture of Third-Order Tensors....Pages 17-40
Continuum Modelling of Shear-Coupled Grain Boundary Migration....Pages 41-64
Buckling of Nonlinearly Elastic Plates with Microstructure....Pages 65-76
Material Symmetry Group and Consistently Reduced Constitutive Equations of the Elastic Cosserat Continuum....Pages 77-90
Nonlinear Localized Strain Waves in a 2D Medium with Microstructure....Pages 91-110
Cosserat Anisotropic Models of Trabecular Bone from the Homogenization of the Trabecular Structure: 2D and 3D Frameworks....Pages 111-141
Electro-Thermo-Elastic Simulation of Graphite Tools Used in SPS Processes....Pages 143-161
The Use of Moment Theory to Describe the Piezoelectric Effect in Polar and Non-Polar Materials....Pages 163-178
Description of Thermal and Micro-Structural Processes in Generalized Continua: Zhilin’s Method and its Modifications....Pages 179-197
Hierarchical Architecture and Modeling of Bio-Inspired Mechanically Adaptive Polymer Nanocomposites....Pages 199-215
Justification of the Bending-Gradient Theory Through Asymptotic Expansions....Pages 217-236
Macroscopic Modeling of Size Effects in Foams Using an Order-Parameter Approach....Pages 237-254
Measuring Material Coefficients of Higher Gradient Elasticity by Using AFM Techniques and Raman-Spectroscopy....Pages 255-271
On the Electrostatic Fields in Dielectric Continua with Self-Similar Properties....Pages 273-282
Nonlinear Generalizations of the Born-Huang Model and Their Continuum Limits....Pages 283-290
Buckling of Inhomogeneous Circular Plate of Micropolar Material....Pages 291-301
A Theory of Disclination and Dislocation Fields for Grain Boundary Plasticity....Pages 303-320
Material Strain Tensor....Pages 321-331

✦ Subjects

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