Modelling of wave propagation in composite plates using the time domain spectral element method

Journal of Sound and Vibration

Volumn 302, Issue 4-5, 2007, Pages 728-745

  Kudela, Paweł ^a   Zak, Arkadiusz ^a   Krawczuk, Marek ^a,b   Ostachowicz, Wiesław ^a,c  

^a INSTITUTE OF FLUID FLOW MACHINERY   (Poland)

^b GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

^c GDYNIA MARITIME UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE MATERIALS; COMPUTER SIMULATION; EQUATIONS OF MOTION; LAGRANGE MULTIPLIERS; SPECTRUM ANALYSIS; TIME DOMAIN ANALYSIS; WAVE PROPAGATION;

COMPOSITE PLATES; ELEMENT SHAPE FUNCTIONS; SPECTRAL ELEMENT METHODS;

ELASTIC WAVES;

EID: 33947256924     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.12.016     Document Type: Article

References (44)

1. Vinson J.R., and Sierakowski R.L. Behavior of Structures Composed of Composite Materials (1989), Martinus-Nijhoff, Inc.
2. Ochoa O.O., and Reddy J.N. Finite Element Analysis of Composite Laminates (1992), Kluwer Academic Publishers, Dordrecht
3. Whitney J.M. Structural Analysis of Laminated Anisotropic Plates (1987), Technomic Publishing Co.
4. Kalamkarov A.L. Composite and Reinforced Elements of Construction (1992), Wiley, New York
5. Jones R.M. Mechanics of Composite Materials (1999), Taylor & Francis Inc., London
6. Krawczuk M., Ostachowicz W.M., and Żak A. Dynamics of cracked composite structures. Computational Mechanics 20 (1997) 79-83
7. Bond L.J. Numerical techniques and their use to study wave propagation and scattering: a review. In: Datta S.K., Achenbach J.D., and Rajapakse Y.S. (Eds). Elastic Waves and Ultrasonic Non-destructive Evaluation (1990), North-Holland, Amsterdam
8. Strickwerda J.C. Finite Difference Schemes and Partial Differential Equations (1989), Wadsworth-Brooks, Belmont
9. Yamawaki H., and Saito T. Numerical calculation of surface waves using new nodal equation. NDT&E International 8-9 (1992) 379-389
10. Zienkiewicz O.C. The Finite Element Method (1989), McGraw-Hill, New York
11. Talbot R.J., and Przemieniecki J.S. Finite element analysis of frequency spectra for elastic waves guides. International Journal of Solids and Structures 11 (1976) 115-138
12. Koshiba M., Karakida S., and Suzuki M. Finite element analysis of Lamb waves scattering in an elastic plate waveguide. IEEE Transactions on Sonic and Ultrasonic 31 (1984) 18-25
13. Verdict G.S., Gien P.H., and Burger C.P. Finite element study of Lamb wave interactions with holes and through thickness defects in thin metal plates. In: Thompson D.O., and Chimenti D.E. (Eds). Review of Progress in Quantitative Non-destructive Evaluation Vol. 11 (1992) 97-104
14. Alleyne D.N., and Cawley P. Optimization of lamb wave inspection techniques. NDT&E International 25 (1992) 11-22
15. Brebbia C.A., Tells J.C.F., and Wrobel L.C. Boundary Elements Techniques (1984), Springer, Berlin
16. Cho Y., and Rose J.L. A boundary element solution for mode conversion study of the edge reflection of Lamb waves. Journal of the Acoustical Society of America 99 (1996) 2079-2109
17. Cheung Y.K. Finite Strip Method in Structural Analysis (1976), Pergamon Press, Oxford
18. Liu G.R., and Xi Z.C. Elastic Waves in Anisotropic Laminates (2002), CRC Press, Boca Raton
19. Liu G.R., Tani J., Watanabe K., and Ohyoshi T. Harmonic wave propagation in anisotropic laminated strips. Journal of Sound and Vibration 139 (1990) 313-330
20. Liu T., Liu K., and Zhang J. Unstructured grid method for stress wave propagation in elastic media. Computer Methods in Applied Mechanics and Engineering 193 (2004) 2427-2452
21. Liu T., Liu K., and Zhang J. Triangular grid method for stress-wave propagation in 2-D orthotropic materials. Archive of Applied Mechanics 74 (2005) 477-488
22. Delsanto P.P., and Mignogna R.B. A spring model for the simulation of the ultrasonic pulses through imperfect contact interfaces. Journal of Acoustical Society of America 104 (1998) 1-8
23. Yim H., and Sohn Y. Numerical simulation and visualization of elastic waves using mass-spring lattice model. IEEE Transactions on Ultrasonic, Ferroelectrics, and Frequency Control 47 (2000) 549-558
24. Delsanto P.P., Whitecomb T., Chaskelis H.H., and Mignogna R.B. Connection machine simulation of ultrasonic wave propagation in materials. I: the one-dimensional case. Wave Motion 16 (1992) 65-80
25. Delsanto P.P., Whitecomb T., Chaskelis H.H., Mignogna R.B., and Kline R.B. Connection machine simulation of ultrasonic wave propagation in materials. II: the two-dimensional case. Wave Motion 20 (1994) 295-314
26. Delsanto P.P., Schechter R.S., and Mignogna R.B. Connection machine simulation of ultrasonic wave propagation in materials. III: the three-dimensional case. Wave Motion 26 (1997) 329-339
27. Doyle J.F. Wave Propagation in Structures (1997), Springer, Berlin
28. Patera A.T. A spectral element method for fluid dynamics : laminar flow in a channel expansion. Journal of Computational Physics 54 (1984) 468-488
29. Krawczuk M., Palacz M., and Ostachowicz W. The dynamic analysis of cracked Timoshenko beam by the spectral element method. Journal of Sound and Vibration 264 (2003) 1139-1153
30. Mahapatra D.R., and Golpalakrishnan S. A spectral finite element model for analysis of axial-flexural-shear coupled wave propagation in laminated composite beams. Computers and Structures 59 (2003) 67-88
31. Palacz M., and Krawczuk M. Analysis of longitudinal wave propagation in a cracked rod by the spectral element method. Computers and Structures 80 (2002) 1809-1816
32. Chakraborty A., and Gopalakrishnan S. A spectrally formulated plate element for wave propagation analysis in anisotropic material. Computer Methods in Applied Mechanics and Engineering 194 (2005) 4425-4446
33. Chakraborty A., and Gopalakrishnan S. An approximate spectral element for the analysis of wave propagation in inhomogeneous layered media. AIAA Journal 44 (2006) 1676-1685
34. Chakraborty A., and Gopalakrishnan S. A spectral finite element model for wave propagation analysis in laminated composite plate. ASME Journal of Vibration and Acoustics 128 (2006) 477-488
35. Boyd J.P. Cheybyshev and Fourier spectral methods (1989), Springer, Berlin
36. ® (2005), Chapman & Hall/CRC, London/Boca Raton
37. Canuto C., Hussaini M.Y., Quarteroni A., and Zang T.A. Spectral Methods in Fluid Dynamics (1988), Springer, Berlin
38. Spall R. Spectral collocation methods for one dimensional phase change problems. International Journal of Heat and Mass Transfer 15 (1995) 2743-2748
39. Dauksher W., and Emery A.F. The use of spectral methods in predicting the reflection and transmission of ultrasonic signals through flaws. In: Thompson D.O., and Chimenti D.E. (Eds). Review of Progress in Quantitative Non-destructive Evaluation Vol. 15 (1996) 97-104
40. Seriani G. 3-D large scale wave propagation modelling by spectral element method on Cray T3E multiprocessor. Computational Methods Applied in Mechanical Engineering 164 (1998) 235-247
41. Komatitsch D., Barnes Ch., and Tromp J. Simulation of anisotropic wave propagation based upon a spectral element method. Geophysics 65 (2000) 1251-1260
42. Sridhar R., Chakraborty A., and Gopalakrishnan S. Wave propagation in a anisotropic and inhomogeneous uncracked and cracked structures using pseudospectral finite element method. International Journal of Solids and Structures 43 (2006) 4997-5031
43. http://mathworld.wolfram.com
44. Kleiber M. Incremental Finite Element Modelling in Non-linear Solid Mechanics (1989), Wiley, New York