Properties for Design of Composite Structures: Theory and Implementation Using Software

ISBN-13: 9781118485286 / Angielski / Twarda / 2022 / 592 str.

Neil McCartney

Spis treści

Preface viiAbout the Companion Website ix1 Introduction 12 Fundamental Relations for Continuum Models 53 Maxwell's Far-field Methodology Applied to the Prediction of Effective Properties of Multiphase Isotropic Particulate Composites 434 Maxwell's Methodology for the Prediction of Effective Properties of Unidirectional Multiphase Fibre-reinforced Composites 655 Reinforcement with Ellipsoidal Inclusions 976 Properties of an Undamaged Single Lamina 1117 Effective Thermoelastic Properties of Undamaged Laminates 1298 Energy Balance Approach to Fracture in Anisotropic Elastic Material 1639 Ply Crack Formation in Symmetric Cross-ply Laminates 18910 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 22311 Ply Cracking in Cross-ply Laminates Subject to Biaxial Bending 24912 Energy-based Delamination Theory for Biaxial Loading in the Presence of Thermal Stresses 27113 Energy Methods for Fatigue Damage Modelling of Laminates 29714 Model of Composite Degradation Due to Environmental Damage 32915 Maxwell's Far-field Methodology Predicting Elastic Properties of Multiphase Composites Reinforced with Aligned Transversely Isotropic Spheroids 34516 Debonding Models and Application to Fibre Fractures and Matrix Cracks 37917 Interacting Bridged Ply Cracks in a Cross-ply Laminate 42518 Theoretical Basis for a Model of Ply Cracking in General Symmetric Laminates 44719 Stress-transfer Mechanics for Biaxial Bending 479Appendix A: Solution for Shear of Isolated Spherical Particle in an Infinite Matrix 503Appendix B: Elasticity Analysis of Two Concentric Cylinders 510Appendix C: Gibbs Energy per Unit Volume for a Cracked Laminate 518Appendix D: Crack Closure Conditions for Laminates 523Appendix E: Derivation of the Solution of Nonlinear Equations 531Appendix F: Analysis for Transversely Isotropic Cylindrical Inclusions 536Appendix G: Recurrence Relations, Differential Equations and Boundary Conditions 541Appendix H: Solution of Differential Equations 546Appendix I: Energy Balance Equation for Delamination Growth 551Appendix J: Derivation of Energy-based Fracture Criterion for Bridged Cracks 554Appendix K: Numerical Solution of Integral Equations for Bridged Cracks 560Index 565

O autorze

Neil McCartney graduated with a PhD in Mathematics at Manchester University in 1968 and has spent the whole of his career at the National Physical Laboratory 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.  Current work undertaken includes modelling of polymer electrolyte membrane fuel cells, and of multi–layered piezoelectric systems subject to mechanical, thermal and electrical stimulation.  He was Visiting Professor in the Dept. 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.

Blurb

Properties for Composite Structures: Theory, Applications and Software

L N McCartney, Materials Division, NPL, UK

 

A comprehensive guide to analytical methods and source code predicting behaviour of undamaged and damaged composite materials

 

The book provides readers with all relevant theoretical information to help them understand the ways in which thermo–elastic properties of two phase and multi–phase composites can be estimated using consistent methods from properties of reinforcement and matrix, and from geometrical data, especially volume fractions, for both undamaged and damaged composites. 

Properties for Composite Structures: Theory, Applications and Software focuses on the use of fibre properties that are transverse isotropic and the inclusion of the effects of thermal residual stresses.  The book offers very useful explicit formulae and theoretical extensions that are not published in learned journals.  Divided into four parts, the book covers: Principles, formulae for homogeneous materials and applications; Properties of undamaged composites; Properties of damaged composites; and Derivations of key results.

 

Key features:

• Focuses on descriptions of the theoretical derivations using analytical methods that are the basis of estimating the undamaged and damaged effective properties of composite materials.
• Provides computer source code to enable readers to reproduce results given in the book, and for their own purposes. 
• Includes previously unpublished results.

 

Properties for Composite Structures: Theory, Applications and Software is an essential guide for designers of composite materials and composite engineering components.