Book Volume 22 2013

Generalized Continua as Models for Materials

with Multi-scale Effects or Under Multi-field Actions

Editors:

ISBN: 978-3-642-36393-1 (Print) 978-3-642-36394-8 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xii

  2. No Access

    Chapter

    Pages 1-15

    Shells and Plates with Surface Effects

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    Chapter

    Pages 17-40

    Geometrical Picture of Third-Order Tensors

  4. No Access

    Chapter

    Pages 41-64

    Continuum Modelling of Shear-Coupled Grain Boundary Migration

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    Chapter

    Pages 65-76

    Buckling of Nonlinearly Elastic Plates with Microstructure

  6. No Access

    Chapter

    Pages 77-90

    Material Symmetry Group and Consistently Reduced Constitutive Equations of the Elastic Cosserat Continuum

  7. No Access

    Chapter

    Pages 91-110

    Nonlinear Localized Strain Waves in a 2D Medium with Microstructure

  8. No Access

    Chapter

    Pages 111-141

    Cosserat Anisotropic Models of Trabecular Bone from the Homogenization of the Trabecular Structure: 2D and 3D Frameworks

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    Chapter

    Pages 143-161

    Electro-Thermo-Elastic Simulation of Graphite Tools Used in SPS Processes

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    Chapter

    Pages 163-178

    The Use of Moment Theory to Describe the Piezoelectric Effect in Polar and Non-Polar Materials

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    Chapter

    Pages 179-197

    Description of Thermal and Micro-Structural Processes in Generalized Continua: Zhilin’s Method and its Modifications

  12. No Access

    Chapter

    Pages 199-215

    Hierarchical Architecture and Modeling of Bio-Inspired Mechanically Adaptive Polymer Nanocomposites

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    Chapter

    Pages 217-236

    Justification of the Bending-Gradient Theory Through Asymptotic Expansions

  14. No Access

    Chapter

    Pages 237-254

    Macroscopic Modeling of Size Effects in Foams Using an Order-Parameter Approach

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    Chapter

    Pages 255-271

    Measuring Material Coefficients of Higher Gradient Elasticity by Using AFM Techniques and Raman-Spectroscopy

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    Chapter

    Pages 273-282

    On the Electrostatic Fields in Dielectric Continua with Self-Similar Properties

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    Chapter

    Pages 283-290

    Nonlinear Generalizations of the Born-Huang Model and Their Continuum Limits

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    Chapter

    Pages 291-301

    Buckling of Inhomogeneous Circular Plate of Micropolar Material

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    Chapter

    Pages 303-320

    A Theory of Disclination and Dislocation Fields for Grain Boundary Plasticity

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    Chapter

    Pages 321-331

    Material Strain Tensor