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Generalized continuum mechanics and ...

Madeo, Angela,

Generalized continuum mechanics and engineering applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized continuum mechanics and engineering applicationsAngela Madeo.
Author:	Madeo, Angela,
Published:	London, UK :ISTE Press ;2015.
Description:	1 online resource :ill.
Subject:	Continuum mechanics.
Online resource:	https://www.sciencedirect.com/science/book/9781785480324
ISBN:	9780081004678 (electronic bk.)

Generalized continuum mechanics and engineering applications
Madeo, Angela,

Generalized continuum mechanics and engineering applications[electronic resource] /Angela Madeo. - London, UK :ISTE Press ;2015. - 1 online resource :ill.

Includes bibliographical references and index.

Front Cover -- Generalized Continuum Mechanics and Engineering Applications -- Copyright -- Contents -- Acknowledgments -- Chapter 1: General Introductory Aspects -- 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 -- Chapter 2: Fibrous Composite Reinforcements -- 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 -- Chapter 3: Wave Propagation in Generalized Continua -- 3.1. Band Gaps in the Relaxed Micromorphic Continuum -- 3.2. Reflection and Transmission of Waves at Discontinuity Surfaces Insecond Gradient Continua -- 3.3. Conclusions -- Chapter 4: Remodeling of Bone Reconstructed with Bio-resorbable Materials -- 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 -- Chapter 5: Energy Dissipation in Modified and Unmodified Concrete -- 5.1. A Simple Generalized Continuum Model for Microstructure-Related Friction -- 5.2. Numerical Simulations: Specimen in Pure Compression -- 5.3. Conclusions -- Bibliography -- Index -- Back Cover.

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.

ISBN: 9780081004678 (electronic bk.)Subjects--Topical Terms:

190274
Continuum mechanics.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA808.2

Dewey Class. No.: 531

Generalized continuum mechanics and engineering applications
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245 1 0 $a Generalized continuum mechanics and engineering applications $h [electronic resource] / $c Angela Madeo.
260 $a London, UK : $b ISTE Press ; $a Kidlington, Oxford, UK : $b Elsevier, $c 2015.
300 $a 1 online resource : $b ill.
504 $a Includes bibliographical references and index.
505 0 $a Front Cover -- Generalized Continuum Mechanics and Engineering Applications -- Copyright -- Contents -- Acknowledgments -- Chapter 1: General Introductory Aspects -- 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 -- Chapter 2: Fibrous Composite Reinforcements -- 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 -- Chapter 3: Wave Propagation in Generalized Continua -- 3.1. Band Gaps in the Relaxed Micromorphic Continuum -- 3.2. Reflection and Transmission of Waves at Discontinuity Surfaces Insecond Gradient Continua -- 3.3. Conclusions -- Chapter 4: Remodeling of Bone Reconstructed with Bio-resorbable Materials -- 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 -- Chapter 5: Energy Dissipation in Modified and Unmodified Concrete -- 5.1. A Simple Generalized Continuum Model for Microstructure-Related Friction -- 5.2. Numerical Simulations: Specimen in Pure Compression -- 5.3. Conclusions -- Bibliography -- Index -- Back Cover.
520 $a 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.
588 0 $a Online resource; title from PDF title page (EBSCO, viewed November 5, 2015).
650 0 $a Continuum mechanics. $3 190274
650 0 $a Mechanics, Applied. $3 190359
655 4 $a Electronic books. $2 local. $3 214472
856 4 0 $u https://www.sciencedirect.com/science/book/9781785480324