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

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