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<p>Preface vii</p> <p>About the Companion Website ix</p> <p>1 Introduction 1</p> <p>2 Fundamental Relations for Continuum Models 5</p> <p>3 Maxwell’s Far-field Methodology Applied to the Prediction of Effective Properties of Multiphase Isotropic Particulate Composites 43</p> <p>4 Maxwell’s Methodology for the Prediction of Effective Properties of Unidirectional Multiphase Fibre-reinforced Composites 65</p> <p>5 Reinforcement with Ellipsoidal Inclusions 97</p> <p>6 Properties of an Undamaged Single Lamina 111</p> <p>7 Effective Thermoelastic Properties of Undamaged Laminates 129</p> <p>8 Energy Balance Approach to Fracture in Anisotropic Elastic Material 163</p> <p>9 Ply Crack Formation in Symmetric Cross-ply Laminates 189</p> <p>10 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 223</p> <p>11 Ply Cracking in Cross-ply Laminates Subject to Biaxial Bending 249</p> <p>12 Energy-based Delamination Theory for Biaxial Loading in the Presence of Thermal Stresses 271</p> <p>13 Energy Methods for Fatigue Damage Modelling of Laminates 297</p> <p>14 Model of Composite Degradation Due to Environmental Damage 329</p> <p>15 Maxwell’s Far-field Methodology Predicting Elastic Properties of Multiphase Composites Reinforced with Aligned Transversely Isotropic Spheroids 345</p> <p>16 Debonding Models and Application to Fibre Fractures and Matrix Cracks 379</p> <p>17 Interacting Bridged Ply Cracks in a Cross-ply Laminate 425</p> <p>18 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 447</p> <p>19 Stress-transfer Mechanics for Biaxial Bending 479</p> <p>Appendix A: Solution for Shear of Isolated Spherical Particle in an Infinite Matrix 503</p> <p>Appendix B: Elasticity Analysis of Two Concentric Cylinders 510</p> <p>Appendix C: Gibbs Energy per Unit Volume for a Cracked Laminate 518</p> <p>Appendix D: Crack Closure Conditions for Laminates 523</p> <p>Appendix E: Derivation of the Solution of Nonlinear Equations 531</p> <p>Appendix F: Analysis for Transversely Isotropic Cylindrical Inclusions 536</p> <p>Appendix G: Recurrence Relations, Differential Equations and Boundary Conditions 541</p> <p>Appendix H: Solution of Differential Equations 546</p> <p>Appendix I: Energy Balance Equation for Delamination Growth 551</p> <p>Appendix J: Derivation of Energy-based Fracture Criterion for Bridged Cracks 554</p> <p>Appendix K: Numerical Solution of Integral Equations for Bridged Cracks 560</p> <p>Index 565</p>

<p><b>Neil McCartney </b> graduated with a PhD in Mathematics from Manchester University in 1968 and spent the whole of his career at the National Physical Laboratory (NPL) undertaking theoretical research associated with many aspects of materials science. He is currently an Emeritus Senior NPL Fellow. For many years he studied damage initiation and growth in unidirectional fibre reinforced composites and their laminates, with applications to multi-layered materials involving metals, ceramics, and polymers. His current work includes modelling of polymer electrolyte membrane fuel cells and batteries, and of multi-layered piezoelectric systems subject to mechanical, thermal, and electrical stimulation. He was Visiting Professor in the Department of Materials Science and Engineering, University of Surrey, March 1995 to 31 August 2010, and Visiting Professor in the Centre for Collaborative Research, The University of Tokyo, Japan, 1 February to 8 May 1999. He is a Fellow of the Institute of Mathematics and its Applications and a Chartered Mathematician. </p>

<p><b>A comprehensive guide to analytical methods and source code to predict the behavior of undamaged and damaged composite materials </b></p> <p>In <i>Properties for Design of Composite Structures: Theory and Implementation Using Software</i>, 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 properties—including mechanical, thermal, and electrical—that can be applied to a variety of reinforcement geometries. <p> 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 a detailed consideration of ply crack closure and a useful study of the interrelationships between the effective thermoelastic constants of damaged laminates. <p> The book also offers: <ul><li>A thorough introduction to the principles and formulae for homogenous materials and applications, including continuum and fracture concepts for homogeneous materials </li> <li>A comprehensive exploration of the properties of undamaged composites, including undamaged composite materials with multiple phases and the properties of a single undamaged lamina </li> <li>Practical discussions of the properties of damaged composites, including matrix cracking in UD composites and damaged laminates </li> <li>Consideration of effects of delamination, fatigue, and environmentally induced damage </li> <li>In-depth examinations of derivations of key results, including the analysis of bridged cracks and stress transfer mechanics for cross-ply and general symmetric laminates</li></ul> <p> Perfect for composite design engineers in all types of material-supplying industries and manufacturing companies, <i>Properties for Design of Composite Structures: Theory and Implementation Using Software</i> will also earn a place in the libraries of undergraduate and graduate students in engineering, aerospace, and materials departments.

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