Journal
HEALTH MONITORING OF STRUCTURAL AND BIOLOGICAL SYSTEMS 2014
Volume 9064, Issue -, Pages -Publisher
SPIE-INT SOC OPTICAL ENGINEERING
DOI: 10.1117/12.2044789
Keywords
Dispersion curves; instability; stiffness matrix method (SMM); transfer matrix method (TMM); ultrasonics; Lamb waves; Christoffel equation; anisotropic composites
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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.
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