Functionally graded materials / Nathan J. Reynolds, editor.

Format:

Book

Contributor:

Reynolds, Nathan J.

Series:

Materials science and technologies series.

Materials science and technologies

Language:

English

Subjects (All):

Functionally gradient materials.

Physical Description:

1 online resource (336 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, c2012.

Language Note:

English

Summary:

Functionally graded materials (FGMs) are composites with gradually varying material content. This new book presents current research in the study of FGMs, including the fracture and contact problems of functionally graded materials; FGMs obtained by combustion synthesis techniques; thermoplastic simulation of FGMs; the thermal buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates; the mechanical response of metal-ceramic FGMs and simulation of quasi-static crack propagation in FGMs.

Contents:

Intro

FUNCTIONALLY GRADED MATERIALS

CONTENTS

PREFACE

A LINEAR MULTI-LAYERED MODEL AND ITS APPLICATIONS IN FRACTURE AND CONTACT MECHANICS OF ELASTIC FUNCTIONALLY GRADED MATERIALS

1. INTRODUCTION

2. MATHEMATICAL MODELING OF FGMS

2.1. Basic Equations

2.1.1. Plane Problem

2.1.2. Antiplane Problem

2.1.3. Axisymmetric Problem

2.1.3. Axisymmetric Torsion Problem

2.2. Exponential Model

2.2.1. General Solutions of Plane Problem in Fourier Transform Domain

2.2.2. General Solutions of Antiplane Problem in Fourier Transform Domain

2.2.3. General Solutions of Axisymmetric Problem in Hankel Transform Domain

2.2.4. General Solutions of Axisymmetric Torsion Problem in Hankel Transform Domain

2.3. HML Model

2.3.1. General Solutions of Plane Problem in Fourier Transform Domain

2.3.2. General Solutions of Antiplane Problem in Fourier Transform Domain

2.3.3. General Solutions of Axisymmetric Problem in Hankel Transform Domain

2.3.4. General Solutions of Axisymmetric Torsion Problem in Hankel Transform Domain

2.4. Linear Multi-Layered (LML) Model

2.4.1. General Solutions of Plane Problem in Fourier Transform Domain

2.4.2. General Solutions of Antiplane Problem in Fourier Transform Domain

2.4.3. General Solutions of Axisymmetric Problem in Hankel Transform Domain

2.4.4. General Solutions of Axisymmetric Torsion Problem in Hankel Transform Domain

3. FRACTURE MECHANICS OF FGMS

3.1. Plane Fracture

3.1.1. Transfer Matrix and Dual Integral Equations

3.1.2. Cauchy Singular Integral Equations

3.1.3. Numerical Examples

3.2. Antiplane Fracture

3.2.1. Transfer Matrix and Dual Integral Equations

3.2.2. Cauchy Singular Integral Equation

3.2.3. Numerical Examples

3.3. Axisymmetric Fracture

3.3.1. Transfer Matrix and Dual Integral Equations.

3.3.2. Singular Integral Equation and Stress Intensity Factor

3.3.4. Numerical Examples

3.4. Dynamic Fracture

3.4.1. Formulation

3.4.2. Numerical Examples

4. CONTACT MECHANICS OF FGMS

4.1. Plane Sliding Frictional Contact

4.1.1. Fundamental Solutions to an FGM Coated Half-Plane

4.1.2. Punch Problems for an FGM Coated Half-Plane

4.1.3. On the Solution of the Integral Equations and the Contact Stresses on the Surface

4.1.4. Examples

(i) Rigid Flat Punch

(ii) Rigid Triangular Punch

(iii) Rigid Cylindrical Punch

(iv) Rigid Wedge-Shaped Punch

4.1.5. Numerical Examples

4.2. Plane Normal Contact with Finite Friction

4.2.1. Formulation

4.2.2. The Goodman Approximation

4.2.3. Fully Coupled Normal Contact

4.2.4. Numerical Examples

4.3. Plane Fretting Contact Problem

4.3.1. A Monotonically Increasing Tangential Load

4.3.2. A Cycled Tangential Load

4.3.2. Numerical Examples

4.4. Axisymmetric Contact Mechanics

4.4.1. Fundamental Solutions to an FGM Coated Half-Space

4.4.2. Axisymmetric Frictionless Contact Problem for an FGM Coated Half-Space

4.4.3. Examples

(i) Frictionless Rigid Flat Circular Punch

(ii) Frictionless Rigid Spherical Punch

(iii) Frictionless Rigid Conical Punch

4.4.4. Numerical Examples

4.5. Axisymmetric Normal Contact

4.5.1. Formulation

4.5.3. Numerical Examples

4.6. Axisymmetric Fretting Contact

4.6.1. Normal Contact Pressure

4.6.2. Monotonically Increasing Torsional Loading

4.6.3. Cyclic Torsional Loading

4.6.4. Numerical Examples

REFERENCES

FUNCTIONALLY GRADED MATERIALS OBTAINED BY COMBUSTION SYNTHESIS TECHNIQUES: A REVIEW

ABSTRACT

1. FUNCTIONALLY GRADED MATERIALS: MANUFACTURING PROCESSES

2. COMBUSTION SYNTHESIS

2.1. Main Advantages of Combustion Synthesis.

2.2. Types of CS Reactions and Obtained Products and Materials

2.3. Ignition Techniques

2.3.1. Microwaves and Combustion Synthesis

3. FGMS OBTAINED BY CS TECHNIQUES

3.1. Ceramic-Based FGMs

3.2. Cermets and Intermetallic Matrix Based FGMs

3.3. Metal- and/or Intermetallic-Based FGMs

CONCLUSION

THE METHOD OF FUNDAMENTAL SOLUTIONS FOR THERMOELASTIC ANALYSIS OF FUNCTIONALLY GRADED MATERIALS

2. MATHEMATICAL FORMULATION

2.1. Basic Equations of Heat Conduction in FGMs

(1) Heat Conduction Equation

(2) Thermal boundary and initial conditions

2.2. Basic Equations of Thermoelasticity in FGMs

(1) Governing Equations

(2) Mechanical Boundary Conditions

3. MATERIAL PROPERTIES OF FGMS

(1) Power-Law Type FGM (P-FGM)[30]

(2) Exponential Type FGM (E-FGM)[31]

4. THE METHOD OF FUNDAMENTAL SOLUTIONS FOR THERMAL ANALYSIS

4.1. Complementary Solutions

4.2. Particular Solutions

4.3. Complete Solutions

4.4. Numerical Examples

Example 4.4.1. Thermal shock problem.

Example 4.4.2. Thermal shock problem.

5. THE METHOD OF FUNDAMENTAL SOLUTIONS FOR THERMOELASTIC ANALYSIS

5.1. Complementary Solutions

5.2. Particular Solutions

5.3. Complete Solutions

5.4. Numerical Examples

THREE-DIMENSIONAL THERMAL BUCKLING ANALYSIS OF FUNCTIONALLY GRADED ARBITRARY STRAIGHT-SIDED QUADRILATERAL PLATES

2. THEORETICAL FORMULATION

2.1. FGMs Relations

2.2. Pre-Buckling Analysis

2.3. Thermal Buckling Equations

2.4. DQ Solution Procedure

3. NUMERICAL RESULTS

APPENDIX A

THE MECHANICAL RESPONSE OF METAL-CERAMIC FUNCTIONALLY GRADED MATERIALS: MODELS AND EXPERIENCES

INTRODUCTION

CONSTITUTIVE MODELS FOR METAL-CERAMIC COMPOSITES

Elasticity.

Plasticity

Fracture

MATERIAL CHARACTERIZATION

EXPERIMENTAL VALIDATION

SIMULATION OF QUASI-STATIC CRACK PROPAGATION IN FUNCTIONALLY GRADED MATERIALS

Abstract

1.Introduction

1.1.TheProblemofElasticityinFunctionallyGradedMaterials

1.2.BasicRegularityResultsandEnergySolutions

2.AsymptoticBehavioroftheDisplacementFieldNeartheCrackTip

2.1.TheCaseofHomogeneousMaterials

2.2.TheCaseofInhomogeneousMaterials

2.3.CalculationofStressIntensityFactors

JUSTIFICATION

3.FractureCriterion-theEnergyPrinciple

ASYMPTOTICANALYSIS

ASYMPTOTICEXPANSIONOFTHECHANGEOFPOTENTIALENERGY

3.1.TheChangeofPotentialEnergyinHomogeneousMaterials

CONSTRUCTIONOFANINNERANDOUTEREXPANSION

THECONNECTIONTOTHEIRWINFRACTURECRITERION

3.2.TheChangeofPotentialEnergyinInhomogeneousMaterials

4.NumericalSimulationofQuasi-StaticCrackPropagation

4.1.ComputationofGlobalIntegralCharacteristics

4.2.ComputationofLocalIntegralCharacteristics

5.Examples

5.1.NumericalResultsforHomogeneousMaterials

5.2.NumericalResultsforaFunctionallyGradedMaterial

6.Conclusion

References

CYLINDRICALLY-OR SPHERICALLY-SYMMETRIC PROBLEMS OF FUNCTIONALLY GRADED MATERIALS

2.HollowFGMCylinders

3.HollowFGMSpheres

4.RotatingHollowFGMAnnuli

5.ThermoelasticFGMCylinders

5.1.Steady-StateThermoelasticAnalysis

5.2.TransientThermoelasticAnalysis

6.ElectroelasticProblemsofFGMs

6.1.FunctionallyGradedPiezoelectricHollowCylinders

6.2.FunctionallyGradedPiezoelectricSphericalShells

7.Conclusion

FUNCTIONALLY GRADED FOAMS FOR FILTER FABRICATION

RECENT DEVELOPMENTS

PRODUCTION OF FUNCTIONALLY GRADED FOAMS

THE FOAM CHARACTERIZATION

INDEX.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-62081-885-X

OCLC:

923667127