Description

Book Synopsis
PROPERTIES FOR DESIGN OF COMPOSITE STRUCTURES

A comprehensive guide to analytical methods and source code to predict the behavior of undamaged and damaged composite materials

In Properties for Design of Composite Structures: Theory and Implementation Using Software, distinguished researcher Dr. Neil McCartney delivers a unique and insightful approach to the development of predictive methods for the properties of undamaged and damaged laminated composite materials. The book focuses on presenting compact analytical formulae for several important effective propertiesincluding mechanical, thermal, and electricalthat can be applied to a variety of reinforcement geometries.

The author introduces a compact notation that enables an explicit treatment of laminate property determination, including the out-of-plane shear properties required for three-dimensional numerical simulations of structural features using finite and boundary element analyses. There is also

Table of Contents

Preface vii

About the Companion Website ix

1 Introduction 1

2 Fundamental Relations for Continuum Models 5

3 Maxwell’s Far-field Methodology Applied to the Prediction of Effective Properties of Multiphase Isotropic Particulate Composites 43

4 Maxwell’s Methodology for the Prediction of Effective Properties of Unidirectional Multiphase Fibre-reinforced Composites 65

5 Reinforcement with Ellipsoidal Inclusions 97

6 Properties of an Undamaged Single Lamina 111

7 Effective Thermoelastic Properties of Undamaged Laminates 129

8 Energy Balance Approach to Fracture in Anisotropic Elastic Material 163

9 Ply Crack Formation in Symmetric Cross-ply Laminates 189

10 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 223

11 Ply Cracking in Cross-ply Laminates Subject to Biaxial Bending 249

12 Energy-based Delamination Theory for Biaxial Loading in the Presence of Thermal Stresses 271

13 Energy Methods for Fatigue Damage Modelling of Laminates 297

14 Model of Composite Degradation Due to Environmental Damage 329

15 Maxwell’s Far-field Methodology Predicting Elastic Properties of Multiphase Composites Reinforced with Aligned Transversely Isotropic Spheroids 345

16 Debonding Models and Application to Fibre Fractures and Matrix Cracks 379

17 Interacting Bridged Ply Cracks in a Cross-ply Laminate 425

18 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 447

19 Stress-transfer Mechanics for Biaxial Bending 479

Appendix A: Solution for Shear of Isolated Spherical Particle in an Infinite Matrix 503

Appendix B: Elasticity Analysis of Two Concentric Cylinders 510

Appendix C: Gibbs Energy per Unit Volume for a Cracked Laminate 518

Appendix D: Crack Closure Conditions for Laminates 523

Appendix E: Derivation of the Solution of Nonlinear Equations 531

Appendix F: Analysis for Transversely Isotropic Cylindrical Inclusions 536

Appendix G: Recurrence Relations, Differential Equations and Boundary Conditions 541

Appendix H: Solution of Differential Equations 546

Appendix I: Energy Balance Equation for Delamination Growth 551

Appendix J: Derivation of Energy-based Fracture Criterion for Bridged Cracks 554

Appendix K: Numerical Solution of Integral Equations for Bridged Cracks 560

Index 565

Properties for Design of Composite Structures

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    A Hardback by Neil McCartney

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      Publisher: John Wiley & Sons Inc
      Publication Date: 07/07/2022
      ISBN13: 9781118485286, 978-1118485286
      ISBN10: 1118485289

      Description

      Book Synopsis
      PROPERTIES FOR DESIGN OF COMPOSITE STRUCTURES

      A comprehensive guide to analytical methods and source code to predict the behavior of undamaged and damaged composite materials

      In Properties for Design of Composite Structures: Theory and Implementation Using Software, distinguished researcher Dr. Neil McCartney delivers a unique and insightful approach to the development of predictive methods for the properties of undamaged and damaged laminated composite materials. The book focuses on presenting compact analytical formulae for several important effective propertiesincluding mechanical, thermal, and electricalthat can be applied to a variety of reinforcement geometries.

      The author introduces a compact notation that enables an explicit treatment of laminate property determination, including the out-of-plane shear properties required for three-dimensional numerical simulations of structural features using finite and boundary element analyses. There is also

      Table of Contents

      Preface vii

      About the Companion Website ix

      1 Introduction 1

      2 Fundamental Relations for Continuum Models 5

      3 Maxwell’s Far-field Methodology Applied to the Prediction of Effective Properties of Multiphase Isotropic Particulate Composites 43

      4 Maxwell’s Methodology for the Prediction of Effective Properties of Unidirectional Multiphase Fibre-reinforced Composites 65

      5 Reinforcement with Ellipsoidal Inclusions 97

      6 Properties of an Undamaged Single Lamina 111

      7 Effective Thermoelastic Properties of Undamaged Laminates 129

      8 Energy Balance Approach to Fracture in Anisotropic Elastic Material 163

      9 Ply Crack Formation in Symmetric Cross-ply Laminates 189

      10 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 223

      11 Ply Cracking in Cross-ply Laminates Subject to Biaxial Bending 249

      12 Energy-based Delamination Theory for Biaxial Loading in the Presence of Thermal Stresses 271

      13 Energy Methods for Fatigue Damage Modelling of Laminates 297

      14 Model of Composite Degradation Due to Environmental Damage 329

      15 Maxwell’s Far-field Methodology Predicting Elastic Properties of Multiphase Composites Reinforced with Aligned Transversely Isotropic Spheroids 345

      16 Debonding Models and Application to Fibre Fractures and Matrix Cracks 379

      17 Interacting Bridged Ply Cracks in a Cross-ply Laminate 425

      18 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 447

      19 Stress-transfer Mechanics for Biaxial Bending 479

      Appendix A: Solution for Shear of Isolated Spherical Particle in an Infinite Matrix 503

      Appendix B: Elasticity Analysis of Two Concentric Cylinders 510

      Appendix C: Gibbs Energy per Unit Volume for a Cracked Laminate 518

      Appendix D: Crack Closure Conditions for Laminates 523

      Appendix E: Derivation of the Solution of Nonlinear Equations 531

      Appendix F: Analysis for Transversely Isotropic Cylindrical Inclusions 536

      Appendix G: Recurrence Relations, Differential Equations and Boundary Conditions 541

      Appendix H: Solution of Differential Equations 546

      Appendix I: Energy Balance Equation for Delamination Growth 551

      Appendix J: Derivation of Energy-based Fracture Criterion for Bridged Cracks 554

      Appendix K: Numerical Solution of Integral Equations for Bridged Cracks 560

      Index 565

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