Restricted accessResearch articleFirst published online 2017
A comparative convergence and accuracy study of composite guided-ultrasonic wave solution methods: Comparing the unified analytic method,SAFE method and DISPERSE
Multiple approaches and programs are available to the public to predict ultrasonic guided-wave propagation dispersion curves in a material. Each approach and program will have its own advantage and disadvantage making it suitable for a specific end use and less suitable for others. This manuscript aims to compare three different guided-ultrasonic wave dispersion curves retrieval methods for multiple cases. First a single layer of isotropic, unidirectional, orthotropic and monoclinic material is examined, followed by a multi-layer case (consisting of 10 layers of the aforementioned materials) and finally four different laminates and one sandwich laminate are evaluated. The goal of this manuscript is to give a concise overview of the advantages and limitations of each approach to assist the end user in choosing the right program to use.
GiurgiutiuVCucA. Embedded non-destructive evaluation for structural health monitoring, damage detection, and failure prevention. Shock Vib Dig2005; 37(2): 83–105.
3.
LambH. On waves in an elastic plate. Proc R Soc A1917; 94: 114–128.
4.
StaszewskiWJBollerCTomlinsonGR. Health monitoring of aerospace structures: Smart sensor technologies and signal processing, Chichester: Wiley, 2004.
5.
RaghavanACesnikCES. Review of guided-wave structural health monitoring. Shock Vib Dig2007; 39: 91–114.
6.
KarunasenaWMShahAHDattaSK. Plane-strain-wave scattering by cracks in laminated composite plates. J Eng Mech-ASCE1990; 17: 1738–1754.
7.
KesslerSSSpearingSMSoutisC. Damage detection in composite materials using lamb wave methods. Smart Mater Struct2002; 11(2): 269–278.
8.
SuZYeLLuY. Guided lamb waves for identification of damage in composite structures: A review. J Sound Vib2006; 295(3–5): 753–780.
9.
DiamantiKSoutisC. Structural health monitoring techniques for aircraft composite structures. Prog Aerosp Sci2010; 46(8): 342–352.
10.
BarazanchyDMartinezMRochaB. A hybrid structural health monitoring system for the detection and localization of damage in composite structures. Journal of Sensors2014; 2014: 1–10.
11.
GiurgiutiuV. Structural health monitoring of aerospace composites, 1st ed. USA: Elsevier Academic Press, 2014.
12.
MollJSchulteRTHartmannB. Multi-site damage localization in anisotropic plate-like structures using an active guided wave structural health monitoring system. Smart Mater Struct2010; 19(4): 1–16.
13.
ViktorovI. Rayleigh and Lamb waves – physical theory and applications, New York: Plenum Press, 1967.
14.
RoseJ. Ultrasonic waves in solid media, New York: Cambridge University Press, 1999.
15.
GiurgiutiuV. Structural health monitoring with piezoelectric wafer active sensors, 2nd ed. New York, NY: Elsevier Academic Press, 2014.
16.
NayfehA. Wave propagation in layered anisotropic media, New York: Elsevier, 1995.
17.
LoweM. Matrix techniques for modeling ultrasonic waves in multilayered media. IEEE Trans Ultrason Ferroelectr Freq Control1995; 42(2): 525–542.
18.
RokhlinSChimentiDNagyP. Physical ultrasonics of composites, New York, NY: Oxford University Press, 2011.
19.
ThomsonW. Transmission of elastic waves through a stratified solid medium. J Appl Phys1950; 21: 89–93.
20.
HaskellNA. Dispersion of surface waves on multilayer media. B Seismol Soc Am1953; 43: 17–43.
21.
KnopoffL. A matrix method for elastic wave problems. B Seismol Soc Am1964; 54: 431–438.
22.
MalA. Wave propagation in layered composite laminates under periodic surface loads. Wave Motion1988; 10: 257–266.
WangLRokhlinSI. Stable reformulation of transfer matrix method for wave propagation in layered anisotropic media. Ultrasonics2001; 39: 413–424.
25.
PavlakovicBLoweMAlleyneD. Review of Progress in Quantitative Non-Destructive Evaluation1997; vol. 16A, Boston, MA, US: Springer, pp. 85–192.
26.
Pavlakovic B and Lowe M. Disperse – a system for generating dispersion curves, version 2.0.16b, 2003.
27.
MalALihS. Elastodynamic response of a unidirectional composite laminate to concentrated surface loads: Parts i & ii. J Appl Mech1992; 55: 878–892.
28.
LihSMalA. Response of multilayered composite laminates to dynamic surface loads. Compos Part B-Eng1996; 27B: 633–641.
29.
ObenchainMBCesnikCES. Producing accurate wave propagation time histories using the global matrix method. Smart Mater Struct2013; 22: 1–11.
30.
BartoliIMarzaniALanza di ScalaF. Modeling wave propagation in damped waveguides of arbitrary cross-section. J Sound Vib2006; 295: 685–707.
31.
WangLYuanFG. Group velocity and characteristic wave curves of lamb waves in composites: Modeling and experiments. Compos Sci Technol2007; 67: 1370–1384.
32.
GopalakrishnanS. Lamb wave propagation in laminted composite structures. J Indian Inst Sci2013; 93(4): 699–713.
33.
BarazanchyDGiurgiutiuV. Towards an unified approach for guided ultrasonic wave dispersion curves in metallic and composites materials. Struct Health Monit2015, pp. 1761–1770.
34.
BarazanchyDGiurgiutiuV. A unified formulation for guided-wave propagation in multi-layered mixed anisotropic-isotropic hybrid aerospace composites. Proc SPIE 9804, nondestructive characterization and monitoring of advanced materials, aerospace, and civil infrastructure2016.
35.
BarazanchyDGiurgiutiuV. A unified formulation for predictive modeling of guided-ultrasonic wave dispersion curves in metallic and composite materials. J Intell Mater Syst Struct2016, pp. 1–15.
36.
BanerjeeSPolCB. Theoretical modeling of guided wave propagation in a sandwich plate subjected to transient surface excitations. Int J Solids Struct2012; 49: 3233–3241.
