Mathematical methods and models in composites / editor, Vladislav Mantic, University of Seville, Spain.

Format:

Book

Contributor:

Mantič, Vladislav, editor.

Series:

Computational and experimental methods in structures ; v. 5.

Computational and experimental methods in structures ; volume 5

Language:

English

Subjects (All):

Composite materials--Mathematical models.

Composite materials.

Physical Description:

1 online resource (xiv, 506 pages) : illustrations (some color).

Place of Publication:

London : Imperial College Press, [2014]

Language Note:

English

Summary:

This book provides a representative selection of the most relevant, innovative, and useful mathematical methods and models applied to the analysis and characterization of composites and their behaviour on micro-, meso-, and macroscale. It establishes the fundamentals for meaningful and accurate theoretical and computer modelling of these materials in the future. Although the book is primarily concerned with fibre-reinforced composites, which have ever-increasing applications in fields such as aerospace, many of the results presented can be applied to other kinds of composites. The topics cover

Contents:

Preface; Contributors; CONTENTS; 1. Asymptotic Homogenization Method and Micromechanical Models for Composite Materials and Thin-Walled Composite Structures Alexander L. Kalamkarov; 1.1 Introduction; 1.2 Asymptotic Homogenization Method; 1.3 Unit-Cell Problems; 1.4 Three-Dimensional Grid-Reinforced Composites; 1.4.1 Examples of 3D grid-reinforced composite structures; 1.5 Asymptotic Homogenization of Thin-Walled Composite Reinforced Structures; 1.6 Generally Orthotropic Grid-Reinforced Composite Shell; 1.6.1 Calculation of the effective elastic coefficients

1.7 Examples of Grid-Reinforced Composite Shells with Orthotropic Reinforcements1.8 Sandwich Composite Shells with Cellular Cores; 1.8.1 Examples of sandwich shells; 1.9 Conclusion; References; 2. Scaling and Homogenization in Spatially Random Composites Martin Ostoja-Starzewski and Shivakumar I. Ranganathan; 2.1 Introduction; 2.2 Scaling in Heat Conduction; 2.2.1 The Hill-Mandel condition; 2.2.2 Bounds on the conductivity; 2.2.3 Scaling function in heat conduction; 2.2.4 Some properties of and bounds on the scaling function; 2.2.5 Numerical simulations

2.2.6 Constructing the scaling function2.2.7 Constructing the scaling function; 2.3 Scaling in Elasticity; 2.3.1 The Hill-Mandel condition; 2.3.2 Bounds on the elastic response; 2.3.3 Elastic scaling function; 2.4 Scaling in Inelastic and Non-Linear Materials; 2.4.1 Thermoelasticity; 2.4.2 Elasto-plasticity; 2.4.3 Finite elasticity; 2.4.4 Permeability of porous media; 2.4.5 Comparative numerical results; 2.5 Conclusions; Acknowledgements; References; 3. Stroh-Like Formalism for General Thin Laminated Plates and its Applications Chyanbin Hwu; 3.1 Introduction; 3.2 Stroh-Like Formalism

3.3 Extended Stroh-Like Formalism - Hygrothermal Stresses3.4 Expanded Stroh-Like Formalism - Electro-Elastic Laminates; 3.5 Holes and Cracks; 3.5.1 Holes in laminates under uniform stretching and bending moments; 3.5.2 Holes in laminates under uniform heat flow and moisture transfer; 3.5.3 Holes in electro-elastic laminates under uniform loads and charges; 3.5.4 Cracks in laminates; 3.6 Numerical Examples; 3.6.1 Holes; 3.6.2 Thermal environment; 3.6.3 Electro-elastic coupling; 3.6.4 Cracks; 3.7 Conclusions; Acknowledgements; References

4. Classical, Refined, Zig-Zag and Layer-Wise Models for Laminated Structures Erasmo Carrera and Maria Cinefra4.1 Introduction; 4.2 Who First Proposed a Zig-Zag Theory?; 4.3 The Lekhnitskii-Ren Theory; 4.4 The Ambartsumian-Whitney-Rath-Das Theory; 4.5 The Reissner-Murakami-Carrera Theory; 4.6 Remarks on the Theories; 4.7 A Brief Discussion on Layer-Wise Theories; 4.8 CUF Shell Finite Elements; 4.8.1 Geometry of cylindrical shells; 4.8.2 MITC method; 4.8.3 Governing equations; 4.9 Numerical Examples; 4.10 Conclusions; References

5. Bifurcation of Elastic Multilayers Davide Bigoni, Massimiliano Gei and Sara Roccabianca

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF (ebrary, viewed December 30, 2013).

ISBN:

9781783264117

178326411X

9781848167858

1848167857

OCLC:

865014104