Stiffness Transfer Matrix Method (STMM) for stable dispersion curves solution in anisotropic composites

Ayman Kamal; Victor Giurgiutiu

doi:10.1117/12.2044789

9 March 2014 Stiffness Transfer Matrix Method (STMM) for stable dispersion curves solution in anisotropic composites

Ayman Kamal, Victor Giurgiutiu

Proceedings Volume 9064, Health Monitoring of Structural and Biological Systems 2014; 906410 (2014) https://doi.org/10.1117/12.2044789
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2014, San Diego, California, United States

Abstract

This paper discusses combined transfer matrix method (TMM) with stiffness matrix method (SMM) for obtaining a stable solution for dispersion curves of Lamb wave propagation in non-isotropic layers. TMM developed by Thomson and Haskell experiences numerical deficiency at high frequency thickness simulations. SMM was proposed by different researchers to solve the instability issue of TMM. This study shows that stable SMM is good at high frequencies, and TMM needs to be combined with SMM to obtain stable and robust behavior over the frequency range. Numerical simulations of dispersion curves are presented for wave propagation in orthotropic unidirectional fiber composites and cross ply composites. The paper ends with conclusions and future work.

Citation Download Citation

Ayman Kamal and Victor Giurgiutiu "Stiffness Transfer Matrix Method (STMM) for stable dispersion curves solution in anisotropic composites", Proc. SPIE 9064, Health Monitoring of Structural and Biological Systems 2014, 906410 (9 March 2014); https://doi.org/10.1117/12.2044789

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