Open Access

Determination of Dispersion Curves for Composite Materials with the Use of Stiffness Matrix Method


Cite

1. Barski M., Pająk P. (2016), An application of stiffness matrix method to determining of dispersion curves for arbitrary composite materials, Journal of KONES Powertrain and Transport, 23(1), 47-54.10.5604/12314005.1213520Search in Google Scholar

2. Giurgiutiu V. (2008), Structural Health Monitoring with Piezoelectric Wafer Active Sensors, Elsevier.10.1016/B978-012088760-6.50008-8Search in Google Scholar

3. Haskell N.A. (1953), Dispersion of surface waves on multilayer-media, Bulletin of the Seismological Society of America, 43, 17-34.10.1785/BSSA0430010017Search in Google Scholar

4. Hawwa M.A., Nayfeh H.A. (1995), The general problem of thermoelastic waves in anisotropic periodically laminated composites, Composite Engineering, 5, 1499-1517.10.1016/0961-9526(95)00087-4Search in Google Scholar

5. Kamal A., Giurgiutiu V. (2014), Stiffness Transfer Matrix Method (STMM) for Stable Dispersion Curves Solution in Anisotropic Composites, Proc. of SPIE, Vol. 9064.Search in Google Scholar

6. Kausel E. (1986), Wave propagation in anisotropic layered media. International Journal for Numerical Methods in Engineering, 23, 1567-1578.10.1002/nme.1620230811Search in Google Scholar

7. Knopoff L. (1964), A matrix method for elastic waves problems. Bulletin of the Seismological Society of America, 43, 431-438.10.1785/BSSA0540010431Search in Google Scholar

8. Lowe J.S.M. (1995), Techniques for Modeling Ultrasonic Waves in Multilayered Media, IEEE Transactions on Ultrasonics, Ferroelectric and Frequency Control, 42, 525-542.10.1109/58.393096Search in Google Scholar

9. Nayfeh A.H. (1991), The general problem of elastic wave propagation in multilayered anisotropic media, Journal of the Acoustic. Society of America, 89, 1521-1531.Search in Google Scholar

10. Pant S., Laliberte J., Martinez M, Rocha B. (2014), Derivation and experimental validation of Lamb wave equations for an n - layered anisotropic composite laminate, Composite Structure, 111, 566-579.10.1016/j.compstruct.2014.01.034Search in Google Scholar

11. Pavlakovic B., Lowe M. (2003), DISPERSE Manual, Imperial College, London.Search in Google Scholar

12. Press F., Harkrider D., Seafeldt C.A. (1961), A fast convenient program for computations of surface - wave dispersion curves in multilayered media, Bulletin of the Seismological Society of America, 51, 495-502.10.1785/BSSA0510040495Search in Google Scholar

13. Randall M.J. (1967), Fast programs for layered half - space problems, Bulletin of the Seismological Society of America, 57, 1299-1316.10.1785/BSSA0570061299Search in Google Scholar

14. Rokhlin S.I., Wang L. (2002a), Stable recursive algorithm for elastic wave propagation in layered anisotropic media: Stiffness matrix method, Journal of the Acoustic Society of America, 112, 822-834.10.1121/1.1497365Search in Google Scholar

15. Rokhlin S.I., Wang L. (2002b), Ultrasonic waves in layered anisotropic media: characterization of multidirectional composites, International Journal of Solids & Structures, 39, 5529-5545.10.1016/S0020-7683(02)00500-0Search in Google Scholar

16. Royer D., Dieulesaint E. (2000), Elastic Waves in Solids, Springer.Search in Google Scholar

17. Schmidt H., Tango G. (1986), Efficient global matrix approach to the computation of synthetic seismograms, Geophysical Journal of Royal Astronomical Society, 84, 331-359.10.1111/j.1365-246X.1986.tb04359.xSearch in Google Scholar

18. Schwab F.A. (1970), Surface - wave dispersion computations: Knopoff's method, Bulletin of the Seismological Society of America, 60, 1491-1520.10.1785/BSSA0600051491Search in Google Scholar

19. Sorohan S., Constantin N., Gavan M., Anghel V. (2011), Extraction of dispersion curves for waves propagating in free complex waveguides by standard finite element codes, Ultrasonics, 51, 503-515.10.1016/j.ultras.2010.12.003Search in Google Scholar

20. Thomson W. T. (1950), Transmission of elastic waves through a stratified solid medium. Journal of Applied Physics, 21, 89-93.10.1063/1.1699629Search in Google Scholar

21. Wang L., Rokhlin S.I. (2001), Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media, Ultrasonics, 39, 413-424.10.1016/S0041-624X(01)00082-8Search in Google Scholar