On the dynamic of sonic composites
Keywords:
vibration, full band-gaps, Cantor sequenceAbstract
The paper is concerned with the full band-gaps size and the localized modes around interfaces in a multilayer film. The film consists of alternating layers of piezoelectric ceramics and epoxy resin following a triadic Cantor sequence. The Cantor structure is characterized by anharmonic coupling between the extended-mode (phonon) and the localized-mode (fracton) vibration regimes, and by extremely low thresholds for subharmonic generation of ultrasonic waves, as compared to the corresponding homogeneous and periodical ones. The dynamic optimization tracks the enhancing of full band-gaps for both Lamb and Love waves.
References
JANKOWSKI, A.F., TSAKALAKOS, T., The effect of strain on the elastic constants of noble metals, J. Phys. F: Met. Phys., 15, pp. 1279-1292, 1985.
YANG, W. M. C., TSAKALAKOS, T., HILLIARD, J. E., Enhanced elastic modulus in composition-modulated gold-nickel and copper-palladium foils, J. Appl. Phys., 48, pp. 876-879, 1977.
TSAKALAKOS, T., HILLIARD, J. E., Elastic modulus in composition-modulated copper-nickel foils, J. Appl. Phys., 54, 2, pp. 734-737, 1983.
JANKOWSKI, A. F., Modelling the supermodulus effect in metallic multilayers, J. Phys. F: Met. Phys., 18, pp. 413-427, 1988.
DELSANTO, P.P., PROVENZANO, V., UBERALL, H., Coherency strain effects in metalic bilayers, J. Phys.: Condens. Matter, 4, pp. 3915-3928, 1992.
THOMAS, J. F. JR., Pseudopotential calculation of the third-order elastic constants of copper and silver, Phys. Rev. B, 7, 6, pp. 2385-2392, 1973.
GREEN, A. E., ZERNA, W., Theoretical Elasticity, Oxford Univ. Press, New York, 1963.
ACHENBACH, J. D., Wave Propagation in Elastic Solids, Nort-Holland Publ. Co., 1976.
TRUESDELL, C., NOLL, W., The non-linear field theories of mechanics, in Handbuch der Physik, ed. S. Flugge, III, 3, 1965.
TEODOSIU, C., Elastic models of crystal defects, Ed. Acad., Springer-Verlag, 1982.
CHIROIU, V. CHIROIU, C., Inverse problems in mechanics (in Romanian), Ed. Academiei: Bucharest, 2003.
CHIROIU, V. BRISAN, C. GIRIP, I., On the dynamic optimisation of sonic composites, Romanian Journal of Mechanics, 1, 1, pp. 3-12, 2016.
GILBERT, R., HACKL, K., XU, Y., Inverse problem for wave propagation in a perturbed layered half-space, Mathematical and Computer Modelling, 45, pp. 21–33, 2007.
LERNER, R.M., PARKER, K.J., HOLEN, J., GRAMIAK, R., WAAG, R.C., Sonoelasticity: Medical Elasticity Images Derived from Ultrasound Signals in Mechanically Vibrated Targets, Acoustical Imaging, 16, pp. 317–327, 1988.
Published
Issue
Section
Copyright (c) 2024 The Romanian Journal of Technical Sciences. Applied Mechanics.
This work is licensed under a Creative Commons Attribution 4.0 International License.