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18 April 2011 Lattice dynamics approach to determine the dependence of the time-of-flight of transversal polarized acoustic waves on external stress
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Abstract
Based on the lattice dynamics approach the dependence of the time-of-flight (TOF) on stress has been modeled for transversal polarized acoustic waves. The relevant dispersion relation is derived from the appropriate mass-spring model together with the dependencies on the restoring forces including the effect of externally applied stress. The lattice dynamics approach can also be interpreted as a discrete and strictly periodic lumped circuit. In that case the modeling represents a finite element approach. In both cases the properties relevant for wavelengths large with respect to the periodic structure can be derived from the respective limit relating also to low frequencies. The model representing a linear chain with stiffness to shear and additional stiffness introduced by extensional stress is presented and compared to existing models, which so far represent each only one of the effects treated here in combination. For a string this effect is well known from musical instruments. The counteracting effects are discussed and compared to experimental results.
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K. S. Tarar, M. Pluta, U. Amjad, and W. Grill "Lattice dynamics approach to determine the dependence of the time-of-flight of transversal polarized acoustic waves on external stress", Proc. SPIE 7984, Health Monitoring of Structural and Biological Systems 2011, 79842R (18 April 2011); https://doi.org/10.1117/12.879315
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