1. Introduction2. Fundamentals of Aerospace Composite Materials3. Stress Analysis of Aerospace Composite Materials4. Vibration Analysis of Aerospace Composite Materials5. Wave Propagation Analysis in Bulk Aerospace Composite Materials6. Guided Waves in Single-Layer Aerospace Composite Materials7. Guided Waves in Multi-Layer Aerospace Composite Materials8. Sensors for Aerospace Composites SHM and NDE9. Semi-Analytical Finite Element (SAFE) Guided Wave Solution in Aerospace Composites10. Applications to SHM of Aerospace Composite Materials11. Applications to NDE of Aerospace Composite Materials12. Summary, Conclusions and Suggestions for Further Work