Generalized Continua as Models for Classical and Advanced Materials

✍ Scribed by Holm Altenbach, Samuel Forest (eds.)

• Publisher: Springer International Publishing
• Year: 2016
• Tongue: English
• Leaves: 456
• Series: Advanced Structured Materials 42
• Edition: 1
• Category: Library

✦ Synopsis

This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items
- Modelling and simulation of natural and artificial materials with significant microstructure,
- Generalized continua as a result of multi-scale models,
- Multi-field actions on materials resulting in generalized material models,
- Theories including higher gradients, and
- Comparison with discrete modelling approaches

✦ Table of Contents

Front Matter....Pages i-xii
On Strain Rate Tensors and Constitutive Equations of Inelastic Micropolar Materials....Pages 1-13
On the Modelling of Carbon Nano Tubes as Generalized Continua....Pages 15-35
Isogeometric Analysis of Gradient-Elastic 1D and 2D Problems....Pages 37-45
A Fast Fourier Transform-Based Approach for Generalized Disclination Mechanics Within a Couple Stress Theory....Pages 47-75
Some Cases of Unrecognized Transmission of Scientific Knowledge: From Antiquity to Gabrio Piola’s Peridynamics and Generalized Continuum Theories....Pages 77-128
Computational Analysis of the Size Effects Displayed in Beams with Lattice Microstructures....Pages 129-143
Inelastic Interaction and Splitting of Strain Solitons Propagating in a One-Dimensional Granular Medium with Internal Stress....Pages 145-162
The Eigenmodes in Isotropic Strain Gradient Elasticity....Pages 163-178
Limit Analysis of Lattices Based on the Asymptotic Homogenization Method and Prediction of Size Effects in Bone Plastic Collapse....Pages 179-211
An Improved Constitutive Model for Short Fibre Reinforced Cementitious Composites (SFRC) Based on the Orientation Tensor....Pages 213-227
Isogeometric Static Analysis of Gradient-Elastic Plane Strain/Stress Problems....Pages 229-235
Applications of Higher-Order Continua to Size Effects in Bending: Theory and Recent Experimental Results....Pages 237-260
Classification of Gradient Adhesion Theories Across Length Scale....Pages 261-277
Eigenvalue Problems of a Tensor and a Tensor-Block Matrix (TMB) of Any Even Rank with Some Applications in Mechanics....Pages 279-317
Analytical Solutions in the Theory of Thin Bodies....Pages 319-361
Method for Calculating the Characteristics of Elastic State Media with Internal Degrees of Freedom....Pages 363-376
Variational Theories of Two-Phase Continuum Poroelastic Mixtures: A Short Survey....Pages 377-394
Buckling of Sandwich Tube with Foam Core Under Combined Loading....Pages 395-412
Frequency-Dependent Attenuation and Phase Velocity Dispersion of an Acoustic Wave Propagating in the Media with Damages....Pages 413-423
A Statistically-Based Homogenization Approach for Particle Random Composites as Micropolar Continua....Pages 425-441
Paradoxical Size Effects in Composite Laminates and Other Heterogeneous Materials....Pages 443-457

✦ Subjects

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