Semi-Analytical Finite Element (SAFE) Modeling of Guided Waves
SAFE analysis of guided waves
SAFE modeling of a complex waveguide
Dispersion and attenuation curves for Lamb modes in viscoelastic HPPE plate
Dispersion curves for Lamb and SH modes in unidirectional composite with wave propagating at 45 deg from fiber direction
Dispersion curves and cross-sectional mode shapes for Lamb and SH modes in anisotropic composite laminate
Mode shapes of guided waves in rails
Dispersion and attenuation curves in a steel pipes
Broadband forced solution of guided wave propagation in a cylindrical rod
Torsional and longitudinal vibrational modes in a rod
Global-local modeling of guided wave scattering problems
Global-local modeling of guided wave scattering from delamination in composites
Global-local modeling of guided wave scattering at skin-to-stringer joint of composite aircraft structures
Funding:
National Science Foundation
Air Force Office of Scientific Research
Department of Transportation/Federal Railroad Administration
Federal Aviation Administration
Office of Naval Research
Synopsis:
UCSD has been working on the development of the Semi-Analytical Finite Element (SAFE) method for modeling ultrasonic guided wave propagation in "complex" waveguides, for which theoretical solutions are either nonexistent or difficult to obtain. "Complex" waveguides include those with arbitrary cross-sections (e.g. railtracks), anistrotropic structures (e.g. composites), and multilayered cases (composite laminates, bonded joints, pipes with bitumen layers, prestressing tendons in concrete, etc..). The SAFE method only requires the FE discretization of the waveguide's cross-section and uses theoretical harmonic solutions in the wave propagation direction. It can efficiently extract phase velocity, group velocity and attenuation dispersion curves, as well as cross-sectional mode shapes, in both unforced (modal solution) and forced cases, and either linear or nonlinear wave propagation cases. We have also coupled SAFE analysis with Global-Local models to handle scattering of guided waves from damage in the waveguide.
Selected Publications:
S.A.F.E. (linear guided wave propagation):
Cui, R and Lanza di Scalea, F., On the Identification of the Elastic Properties of Composites by Ultrasonic Guided Waves and Optimization Algorithm,” Composite Structures, 223, 110969, 2019.
Bartoli, I., Salamone, S., Phillips, R., Lanza di Scalea, F. and Sikorsky, C., “Use of Interwire Ultrasonic Leakage to Quantify Loss of Prestress in Multiwire Tendons,” ASCE Journal of Engineering Mechanics, 137(5), pp. 324-333, 2011.
Coccia, S., Bartoli, I., Marzani, A., Lanza di Scalea, F., Salamone, S. and Fateh, M., “Numerical and Experimental Study of Guided Waves for Detection of Rail Head Defects,” NDT&E International, 44(1), pp. 93-100, 2011.
Lanza di Scalea, F., Bartoli, I., Rizzo, P., Marzani, A., Sorrivi, E., and Viola, E., “Structural Health Monitoring of Multi-wire Strands,” Chapter 151 of Encyclopedia of Structural Health Monitoring, C. Boller, F-K. Chang and Y. Fujino, eds., Johns Wiley & Sons, Chichester, UK, pp. 2487-2503, 2009.
Bartoli, I., Salamone, S., Phillips, R., Lanza di Scalea, F., Coccia, S., and Sikorsky, C., “Monitoring Prestress Level in Seven-wire Prestressing Tendons by Inter-wire Ultrasonic Wave Propagation,” Journal of Advances in Science and Technology – Embodying Intelligence in Structures and Integrated Systems, 56, pp. 200-205, 2008.
Marzani, A., Viola, E., Bartoli, I., Lanza di Scalea, F., and Rizzo, P., “A Semi-analytical Finite Element Formulation for Modeling Stress Wave Propagation in Axisymmetric Damped Waveguides,” Journal of Sound and Vibration, Vol. 318(3), pp. 488-505, 2008.
Bartoli, I., Marzani, A., Lanza di Scalea, F., and Viola, E., “Modeling Wave Propagation in Damped Waveguides of Arbitrary Cross-section,” Journal of Sound and Vibration, Vol. 295(3-5), pp. 685-707, 2006.
S.A.F.E. (nonlinear guided wave propagation):
Nucera, C. and Lanza di Scalea, F., “Modeling of Nonlinear Guided Waves and Applications To Structural Health Monitoring,” ASCE Journal of Computing in Civil Engineering, Special Issue on Computing, 29(4), pp. B40140011- B401400115, 2015.
Nucera, C. and Lanza di Scalea, F., “Nonlinear Semi-Analytical Finite Element Algorithm for the Analysis of Internal Resonance Conditions In Complex Waveguides,” ASCE Journal of Engineering Mechanics, 140(3), pp. 502-522, 2014.
Nucera, C. and Lanza di Scalea, F., “Higher Harmonic Generation Analysis in Complex Waveguides via a Nonlinear Semi-Analytical Finite Element Algorithm," Mathematical Problems in Engineering, Special Issue on New Strategies and Challenges in SHM for Aerospace and Civil Structures, Hindawi Publishing Corporation, vol. 2012, doi:10.1155/2012/365630, 16 pgs., 2012.
Srivastava, A., Bartoli, I., Salamone, S. and Lanza di Scalea, F., “Higher Harmonic Generation in Nonlinear Waveguides of Arbitrary Cross-section,” Journal of the Acoustical Society of America, Vol. 127(5), pp. 2790-2796, 2010.
S.A.F.E. (Global-Local analysis for scattering studies):
Spada, A., Capriotti, M. and Lanza di Scalea, F., “A Global-Local Model to Calculate the Interaction of Guided Waves with Geometrical Discontinuities and Defects in Multilayered Anisotropic Plates” International Journal of Solids and Structures, in press, 2019.
Srivastava, A. and Lanza di Scalea, F., “Quantitative Structural Health Monitoring by Ultrasonic Guided Waves,” ASCE Journal of Engineering Mechanics, 136(8), pp. 937-944, 2010.
Srivastava, A. and Lanza di Scalea, F., “Quantitative Structural Health Monitoring by Ultrasonic Guided Waves,” International Journal of Condition Monitoring and Diagnostic Engineering Management (COMADEM), Special Issue on Structural Health Monitoring, 13(1), pp. 26-33, 2010.