Generalized Continuum Mechanics and Engineering Applications 1st Edition by Angela Madeo ISBN 9781785480324 1785480324

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ISBN 10: 1785480324
ISBN 13: 9781785480324
Author: Angela Madeo

The new concept of metamaterial is increasingly attracting the interest of physicists and mechanical engineers. Such materials are obtained by suitably assembling multiple individual elements but usually arranged in (quasi-)periodic substructures in order to show exotic global mechanical properties. Indeed, the particular shape, geometry, size, orientation and arrangement of their constituting elements can affect, the propagation of waves of light or sound in a manner not observed in natural materials, creating material properties which may give rise to unexpected engineering applications. Particularly promising in the design and description of metamaterials are those micro-structures which present high contrasts in their mechanical properties: these micro-structures, once homogenized, may produce generalized continuum media, for example, second gradient or micromorphic.

Many scientific challenges related to the application of generalized continuum theories to the characterization and conception of high-performance metamaterials can be identified. In this book we identify and discuss four main potential fields of applications of generalized continuum theories, namely, mechanical behavior of fibrous composite reinforcements, wave propagation in metamaterials, mechanical behavior of concrete and mechanically driven remodeling of bone in presence of bio-resorbable materials.

For each field, we underline how the use of a generalized continuum theory can be of help for describing how the presence of microstructure can affect the global mechanical behavior of the considered metamaterials.

Covers four main fields of the application of continuum theories

Learn how to apply generalised continuum theory to describe the effects of microstructure on the mechanical behavior of materials

Decipher the material properties which aid your engineering application

Generalized Continuum Mechanics and Engineering Applications 1st Edition Table of contents:

1: General Introductory Aspects

Abstract

1.1 Introduction

1.2 Generalized continuum theories and some possible applications

1.3 Woven fibrous composite reinforcements

1.4 Wave propagation in metamaterials

1.5 Reconstructed bone remodeling

1.6 Microstructure-driven energy dissipation in concrete

2: Fibrous Composite Reinforcements

Abstract

2.1 Woven fibrous composite reinforcements modeled as second gradient materials

2.2 Kinematics

2.3 Second gradient energy density for 3D interlocks

2.4 Constitutive choice for the first gradient energy

2.5 Constitutive choice for the second gradient energy

2.6 Least action principle and principle of virtual powers

2.7 Numerical simulations for three point bending of composite interlocks

2.8 Bias extension test

2.9 Numerical simulations

2.10 Conclusions

3: Wave Propagation in Generalized Continua

Abstract

3.1 Band gaps in the relaxed micromorphic continuum

3.2 Reflection and transmission of waves at discontinuity surfaces in second gradient continua

3.3 Conclusions

4: Remodeling of Bone Reconstructed with Bio-resorbable Materials

Abstract

4.1 Generalized continuum theories for bone remodeling in the presence or absence of biomaterial

4.2 A continuum two-solid mixture model for reconstructed bone remodeling

4.3 A simple one-dimensional, linearized, isotropic problem

4.4 Numerical simulations

4.5 Conclusions

5: Energy Dissipation in Modified and Unmodified Concrete

Abstract

5.1 A simple generalized continuum model for microstructure-related friction

5.2 Numerical simulations: specimen in pure compression

5.3 Conclusions

Bibliography

Index

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Tags: Angela Madeo, Generalized Continuum, Engineering Applications, Mechanics