Abstract
By using the normality of the acoustic tensor for homogeneous, linearly elastic media, bounds are obtained for the changes in plane wave phase velocities due to changes in the elastic moduli of the medium. The bounds, which hold for arbitrary propagation directions and arbitrary changes in elastic moduli are then specialized to the cases where a single modulus is varied holding all the rest constant. Three dimensional bounding surfaces are derived and graphically presented for the possible changes in phase velocity (actually, square of phase velocity times mass density) of any given mode while propagating in any direction due to the changes in a specific elastic modulus. The results of this paper can be used in analytical developments wherever a need exists to place bounds on possible changes in a solution due to changes in elastic moduli, such as in the reconstruction of elastic moduli from phase or group velocity information. 1997 Elsevier Science Ltd.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
