A numerical method for predicting Rayleigh surface wave velocity in anisotropic crystals

A numerical method was developed for calculating the Rayleigh Surface Wave (RSW) velocity in arbitrarily oriented single crystals in 360 degrees of propagation. This method relies on the results from modern analysis of RSW behavior with the Stroh formalism to restrict the domain in which to search f...

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Bibliographic Details
Published in:Journal of computational physics 2017-12, Vol.351, p.108-120
Main Authors: Cherry, Matthew R., Sathish, Shamachary, Grandhi, Ramana
Format: Article
Language:English
Subjects:
Algorithms
Anisotropic
Anisotropy
Computational physics
Elastic
Elastic properties
Mathematical analysis
Modulus of elasticity
Numerical methods
Numerical prediction
Rayleigh
Robustness (mathematics)
Single crystals
Surface
Surface waves
Velocity
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Summary:A numerical method was developed for calculating the Rayleigh Surface Wave (RSW) velocity in arbitrarily oriented single crystals in 360 degrees of propagation. This method relies on the results from modern analysis of RSW behavior with the Stroh formalism to restrict the domain in which to search for velocities by first calculating the limiting velocity. This extension of existing numerical methods also leads to a natural way of determining both the existence of the RSW as well as the possibility of encountering a pseudo-surface wave. Furthermore, the algorithm is applied to the calculation of elastic properties from measurement of the surface wave velocity in multiple different directions on a single crystal sample. The algorithm was tested with crystal symmetries and single crystal elastic moduli from literature. It was found to be very robust and efficient in calculating RSW velocity curves in all cases. •Efficient umerical method for calculating the surface wave velocities in any direction on an arbitrarily oriented crystal.•Sensitivity of wave velocity to different parameterizations of elastic material parameters.•Demonstration of inverse problem with newly developed numerical method.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2017.09.002