Practical Micromechanics of Composite Materials provides an accessible treatment of micromechanical theories for the analysis and design of multi-phased composites. Written with both students and practitioners in mind and coupled with a fully functional MATLAB code to enable the solution of technologically relevant micromechanics problems, the book features an array of illustrative example problems and exercises highlighting key concepts and integrating the MATLAB code. The MATLAB scripts and functions empower readers to enhance and create new functionality tailored to their needs, and the book and code highly complement one another. The book presents classical lamination theory and then proceeds to describe how to obtain effective anisotropic properties of a unidirectional composite (ply) via micromechanics and multiscale analysis. Calculation of local fields via mechanical and thermal strain concentration tensors is presented in a unified way across several micromechanics theories. The importance of these local fields is demonstrated through the determination of consistent Margins of Safety (MoS) and failure envelopes for thermal and mechanical loading. Finally, micromechanics-based multiscale progressive damage is discussed and implemented in the accompanying MATLAB code.
1. 1. Introduction - p. iii 2. 2. Lamination theory using macromechanics - p. iii 3. 3. Closed form micromechanics - p. iii 4. Abstract - p. iii 5. Chapter outline - p. iii 6. 3.1 Introduction - p. iii 7. 3.2 Fundamentals of the mechanics of multiphase materials - p. iii 8. 3.3 Strain and stress concentration tensors for two-phase composites - p. iii 9. 3.4 The Voigt approximation - p. iii 10. 3.5 The Reuss approximation - p. iii 11. 3.6 Eshelby equivalent inclusion method: the dilute case - p. iii 12. 3.7 The Mori-Tanaka (MT) method - p. iii 13. 3.8 The method of cells for continuously fiber-reinforced materials (doubly periodic) - p. iii 14. 3.9 Thermomechanical effects - p. iii 15. 3.10 Numerical methods - p. iii 16. 3.11 MATLAB implementation of stand-alone micromechanics and micromechanics-based CLT - p. iii 17. 3.12 Example micromechanics problems - p. iii 18. 3.13 Summary - p. iii 19. 3.14 Exercises - p. iii 20. 3.15 Appendix: Establishment of Eq. (3.88) - p. iii 21. References - p. iii 22. 4. Failure criteria and margins of safety - p. iii 23. 5. The generalized method of cells (GMC) micromechanics theory - p. iii 24. 6. The high-fidelity generalized method of cells (HFGMC) micromechanics theory - p. iii 25. 7. Progressive damage and failure - p. iii 26. Index - p. iii 27. Material properties - p. iii 28. Repeating Unit Cells (RUCs) - p. iii
Practical Micromechanics of Composite Materials provides an accessible treatment of micromechanical theories for the analysis and design of multi-phased composites. Written with both students and practitioners in mind and coupled with a fully functional MATLAB code to enable the solution of technologically relevant micromechanics problems, the book features an array of illustrative example problems and exercises highlighting key concepts and integrating the MATLAB code. The MATLAB scripts and functions empower readers to enhance and create new functionality tailored to their needs, and the book and code highly complement one another. The book presents classical lamination theory and then proceeds to describe how to obtain effective anisotropic properties of a unidirectional composite (ply) via micromechanics and multiscale analysis. Calculation of local fields via mechanical and thermal strain concentration tensors is presented in a unified way across several micromechanics theories. The importance of these local fields is demonstrated through the determination of consistent Margins of Safety (MoS) and failure envelopes for thermal and mechanical loading. Finally, micromechanics-based multiscale progressive damage is discussed and implemented in the accompanying MATLAB code.
1. 1. Introduction - p. iii 2. 2. Lamination theory using macromechanics - p. iii 3. 3. Closed form micromechanics - p. iii 4. Abstract - p. iii 5. Chapter outline - p. iii 6. 3.1 Introduction - p. iii 7. 3.2 Fundamentals of the mechanics of multiphase materials - p. iii 8. 3.3 Strain and stress concentration tensors for two-phase composites - p. iii 9. 3.4 The Voigt approximation - p. iii 10. 3.5 The Reuss approximation - p. iii 11. 3.6 Eshelby equivalent inclusion method: the dilute case - p. iii 12. 3.7 The Mori-Tanaka (MT) method - p. iii 13. 3.8 The method of cells for continuously fiber-reinforced materials (doubly periodic) - p. iii 14. 3.9 Thermomechanical effects - p. iii 15. 3.10 Numerical methods - p. iii 16. 3.11 MATLAB implementation of stand-alone micromechanics and micromechanics-based CLT - p. iii 17. 3.12 Example micromechanics problems - p. iii 18. 3.13 Summary - p. iii 19. 3.14 Exercises - p. iii 20. 3.15 Appendix: Establishment of Eq. (3.88) - p. iii 21. References - p. iii 22. 4. Failure criteria and margins of safety - p. iii 23. 5. The generalized method of cells (GMC) micromechanics theory - p. iii 24. 6. The high-fidelity generalized method of cells (HFGMC) micromechanics theory - p. iii 25. 7. Progressive damage and failure - p. iii 26. Index - p. iii 27. Material properties - p. iii 28. Repeating Unit Cells (RUCs) - p. iii
