A FE-Based Scheme for Computing Wave Interaction with Nonlinear Damage and Generation of Harmonics in Layered Composite Structures
A Finite Element (FE) based scheme is presented
for quantifying guided wave interaction with Localised Nonlinear
Structural Damage (LNSD) within structures of arbitrary layering
and geometric complexity. The through-thickness mode-shape of the
structure is obtained through a wave and finite element method. This
is applied in a time domain FE simulation in order to generate
time harmonic excitation for a specific wave mode. Interaction of
the wave with LNSD within the system is computed through an
element activation and deactivation iteration. The scheme is validated
against experimental measurements and a WFE-FE methodology for
calculating wave interaction with damage. Case studies for guided
wave interaction with crack and delamination are presented to verify
the robustness of the proposed method in classifying and identifying
damage.
[1] R. Soleimanpour and C.-T. Ng, “Locating delaminations in laminated
composite beams using nonlinear guided waves,” Engineering
Structures, vol. 131, pp. 207–219, 2017.
[2] Y. Shen and V. Giurgiutiu, “Predictive modelling of nonlinear wave
propagation for structural health monitoring with piezoelectric wafer
active sensors,” Journal of Intelligent Material Systems and Structures,
vol. 25, pp. 506–520, 2014.
[3] X. Wan, Q. Zhang, G. Xu, and P. W. Tse, “Numerical simulation
of nonlinear lamb waves used in a thin plate for detecting buried
micro-cracks,” Sensors, vol. 14, no. 5, pp. 8528–8546, 2014.
[4] B. R. Mace, D. Duhamel, M. J. Brennan, and L. Hinke, “Finite element
prediction of wave motion in structural waveguides,” The Journal of the
Acoustical Society of America, vol. 117, no. 5, pp. 2835–2843, 2005.
[5] J. M. Mencik and M. N. Ichchou, “Multi-mode propagation and
diffusion in structures through finite elements,” European Journal of
Mechanics-A/Solids, vol. 24, no. 5, pp. 877–898, 2005.
[6] V. Thierry, L. Brown, and D. Chronopoulos, “Multi-scale wave
propagation modelling for two-dimensional periodic textile composites,”
Composites Part B: Engineering, vol. 150, pp. 144–156, 2018.
[7] T. Ampatzidis, R. K. Leach, C. Tuck, and D. Chronopoulos, “Band
gap behaviour of optimal one-dimensional composite structures with an
additive manufactured stiffener,” Composites Part B: Engineering, vol.
153, pp. 26–35, 2018.
[8] D. Chronopoulos, “Design optimization of composite structures
operating in acoustic environments,” Journal of Sound and Vibration,
vol. 355, pp. 322–344, 2015.
[9] S. Cantero-Chinchilla, J. Chiach´ıo, M. Chiach´ıo, D. Chronopoulos, and
A. Jones, “A robust bayesian methodology for damage localization in
plate-like structures using ultrasonic guided-waves,” Mechanical Systems
and Signal Processing, vol. 122, pp. 192–205, 2019.
[10] R. Apalowo and D. Chronopoulos, “A wave-based numerical scheme
for damage detection and identification in two-dimensional composite
structures,” Composite Structures, vol. 214, pp. 164–182, 2019.
[11] D. Chronopoulos, “Wave steering effects in anisotropic composite
structures: Direct calculation of the energy skew angle through a finite
element scheme,” Ultrasonics, vol. 73, pp. 43–48, 2017.
[12] R. Apalowo, D. Chronopoulos, and G. Tanner, “Wave interaction with
defects in pressurised composite structures,” Journal of Nondestructive
Evaluation, vol. 37, no. 3, p. 48, 2018.
[13] R. Apalowo, D. Chronopoulos, M. Ichchou, Y. Essa, and F. Martin
De La Escalera, “The impact of temperature on wave interaction with
damage in composite structures,” Proceedings of the Institution of
Mechanical Engineers, Part C: Journal of Mechanical Engineering
Science, vol. 231, no. 16, pp. 3042–3056, 2017.
[14] R. K. Apalowo, D. Chronopoulos, and M. Malik, “The influence of
temperature on wave scattering of damaged segments within composite
structures,” in MATEC Web of Conferences, vol. 211. EDP Sciences,
2018, p. 19005.
[15] D. Chronopoulos, C. Droz, R. Apalowo, M. Ichchou, and W. Yan,
“Accurate structural identification for layered composite structures,
through a wave and finite element scheme,” Composite Structures, vol.
182, pp. 566–578, 2017.
[16] I. ANSYS, ANSYS 14.0 User’s Help, 2014.
[17] J. M. Renno and B. R. Mace, “Calculation of reflection and transmission
coefficients of joints using a hybrid element/wave and finite element
approach,” Journal of Sound and Vibration, vol. 332, pp. 2149–2164,
2013.
[18] J. Nienwenhui, J. Neumann, D. Greve, and I. Oppenheim, “Generation
and detection of guided waves using pzt wafer transducers,” IEEE
transactions on ultrasonics, ferroelectrics, and frequency control,
vol. 52, no. 11, pp. 2103–2111, 2005.
[1] R. Soleimanpour and C.-T. Ng, “Locating delaminations in laminated
composite beams using nonlinear guided waves,” Engineering
Structures, vol. 131, pp. 207–219, 2017.
[2] Y. Shen and V. Giurgiutiu, “Predictive modelling of nonlinear wave
propagation for structural health monitoring with piezoelectric wafer
active sensors,” Journal of Intelligent Material Systems and Structures,
vol. 25, pp. 506–520, 2014.
[3] X. Wan, Q. Zhang, G. Xu, and P. W. Tse, “Numerical simulation
of nonlinear lamb waves used in a thin plate for detecting buried
micro-cracks,” Sensors, vol. 14, no. 5, pp. 8528–8546, 2014.
[4] B. R. Mace, D. Duhamel, M. J. Brennan, and L. Hinke, “Finite element
prediction of wave motion in structural waveguides,” The Journal of the
Acoustical Society of America, vol. 117, no. 5, pp. 2835–2843, 2005.
[5] J. M. Mencik and M. N. Ichchou, “Multi-mode propagation and
diffusion in structures through finite elements,” European Journal of
Mechanics-A/Solids, vol. 24, no. 5, pp. 877–898, 2005.
[6] V. Thierry, L. Brown, and D. Chronopoulos, “Multi-scale wave
propagation modelling for two-dimensional periodic textile composites,”
Composites Part B: Engineering, vol. 150, pp. 144–156, 2018.
[7] T. Ampatzidis, R. K. Leach, C. Tuck, and D. Chronopoulos, “Band
gap behaviour of optimal one-dimensional composite structures with an
additive manufactured stiffener,” Composites Part B: Engineering, vol.
153, pp. 26–35, 2018.
[8] D. Chronopoulos, “Design optimization of composite structures
operating in acoustic environments,” Journal of Sound and Vibration,
vol. 355, pp. 322–344, 2015.
[9] S. Cantero-Chinchilla, J. Chiach´ıo, M. Chiach´ıo, D. Chronopoulos, and
A. Jones, “A robust bayesian methodology for damage localization in
plate-like structures using ultrasonic guided-waves,” Mechanical Systems
and Signal Processing, vol. 122, pp. 192–205, 2019.
[10] R. Apalowo and D. Chronopoulos, “A wave-based numerical scheme
for damage detection and identification in two-dimensional composite
structures,” Composite Structures, vol. 214, pp. 164–182, 2019.
[11] D. Chronopoulos, “Wave steering effects in anisotropic composite
structures: Direct calculation of the energy skew angle through a finite
element scheme,” Ultrasonics, vol. 73, pp. 43–48, 2017.
[12] R. Apalowo, D. Chronopoulos, and G. Tanner, “Wave interaction with
defects in pressurised composite structures,” Journal of Nondestructive
Evaluation, vol. 37, no. 3, p. 48, 2018.
[13] R. Apalowo, D. Chronopoulos, M. Ichchou, Y. Essa, and F. Martin
De La Escalera, “The impact of temperature on wave interaction with
damage in composite structures,” Proceedings of the Institution of
Mechanical Engineers, Part C: Journal of Mechanical Engineering
Science, vol. 231, no. 16, pp. 3042–3056, 2017.
[14] R. K. Apalowo, D. Chronopoulos, and M. Malik, “The influence of
temperature on wave scattering of damaged segments within composite
structures,” in MATEC Web of Conferences, vol. 211. EDP Sciences,
2018, p. 19005.
[15] D. Chronopoulos, C. Droz, R. Apalowo, M. Ichchou, and W. Yan,
“Accurate structural identification for layered composite structures,
through a wave and finite element scheme,” Composite Structures, vol.
182, pp. 566–578, 2017.
[16] I. ANSYS, ANSYS 14.0 User’s Help, 2014.
[17] J. M. Renno and B. R. Mace, “Calculation of reflection and transmission
coefficients of joints using a hybrid element/wave and finite element
approach,” Journal of Sound and Vibration, vol. 332, pp. 2149–2164,
2013.
[18] J. Nienwenhui, J. Neumann, D. Greve, and I. Oppenheim, “Generation
and detection of guided waves using pzt wafer transducers,” IEEE
transactions on ultrasonics, ferroelectrics, and frequency control,
vol. 52, no. 11, pp. 2103–2111, 2005.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:79826", author = "R. K. Apalowo and D. Chronopoulos", title = "A FE-Based Scheme for Computing Wave Interaction with Nonlinear Damage and Generation of Harmonics in Layered Composite Structures", abstract = "A Finite Element (FE) based scheme is presented
for quantifying guided wave interaction with Localised Nonlinear
Structural Damage (LNSD) within structures of arbitrary layering
and geometric complexity. The through-thickness mode-shape of the
structure is obtained through a wave and finite element method. This
is applied in a time domain FE simulation in order to generate
time harmonic excitation for a specific wave mode. Interaction of
the wave with LNSD within the system is computed through an
element activation and deactivation iteration. The scheme is validated
against experimental measurements and a WFE-FE methodology for
calculating wave interaction with damage. Case studies for guided
wave interaction with crack and delamination are presented to verify
the robustness of the proposed method in classifying and identifying
damage.", keywords = "Layered Structures, nonlinear ultrasound, wave
interaction with nonlinear damage, wave finite element, finite
element.", volume = "14", number = "9", pages = "403-7", }
