journal article·2026-07-19

Depth estimation of an arbitrary shape delamination in composite laminate using modified LDR frequency based on acoustic measurement

Manish Sharma, Tanmoy Bose

Publisher page

Abstract

Accurate depth determination for arbitrary shaped delamination remains a challenge in local defect resonance (LDR) testing methodology due to unavailability of simple LDR frequency expression for arbitrary delamination. In this paper, a modified LDR expression for arbitrarily shaped delamination has been proposed for accurate delamination depth determination based on area equivalence. Further, selection of best LDR‑based non-destructive testing techniques among laser Doppler vibrometry (LDV), vibro‑thermography (VT) and acoustic testing has been carried out for depth determination. Two CFRP specimens were fabricated using the Vacuum Assisted Resin Transfer Moulding (VARTM) process. A flat bottom hole (FBH) was introduced in the first specimen, while barely visible impact damage (BVID) was generated in the second specimen using a portable impact testing setup. The internal damage was characterised using phased array ultrasonic testing (PAUT) and X-ray computed tomography (CT), revealing multi-layer delamination. Subsequently, LDV, VT and acoustic testing were applied to the impacted specimen. All three techniques successfully identified the two-layer delamination along with the protrusion. Among these, acoustic testing proved to be the fastest and most accurate NDT method. Furthermore, the defect depth estimated using the modified LDR frequency‑based acoustic testing showed good agreement with the results obtained from PAUT.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Mechanical Behavior of Composites · Ultrasonics and Acoustic Wave Propagation · Optical measurement and interference techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

National Institute of Technology

Funding

Aeronautics Research and Development Board

References (36)

Show source-provided references
1. 10.1177/00219983850190010410.1177/002199838501900104 ↗
2. 10.1017/CBO978051157450410.1017/CBO9780511574504 ↗
3. Rajic N. Non-destructive evaluation (NDE) of aerospace composites: flaw characterisation. In: Karbhari VM, editor. Non-destructive evaluation (NDE) of polymer matrix composites. Cambridge, UK: Woodhead Publishing; 2013. p. 335–366.10.1533/9780857093554.3.335 ↗
4. 10.2478/fas-2018-000810.2478/fas-2018-0008 ↗
5. 10.1007/s10921-017-0449-x10.1007/s10921-017-0449-x ↗
6. 10.1016/j.ndteint.2018.01.00510.1016/j.ndteint.2018.01.005 ↗
7. 10.1016/j.ndteint.2018.05.00710.1016/j.ndteint.2018.05.007 ↗
8. 10.1016/j.ndteint.2018.12.00510.1016/j.ndteint.2018.12.005 ↗
9. 10.1016/j.ndteint.2019.10217910.1016/j.ndteint.2019.102179 ↗
10. 10.1080/09349847.2023.226912210.1080/09349847.2023.2269122 ↗
11. 10.1016/j.compstruct.2018.12.05010.1016/j.compstruct.2018.12.050 ↗
12. Solodov I, Döring D, Busse G. Air-coupled laser vibrometry: analysis and applications. Appl Opt. 2008;48(7):C33–7.10.1364/AO.48.000C33 ↗
13. 10.1063/1.498528610.1063/1.4985286 ↗
14. 10.1063/1.366387210.1063/1.3663872 ↗
15. 10.1063/1.481092610.1063/1.4810926 ↗
16. Hettler J, Tabatabaeipour M, Delrue S, et al. Detection and characterization of local defect resonances arising from delamination’s and flat bottom holes. J Nondes Eval. 2017;36(2):1–10.
17. Rahammer M, Solodov I, Bisle W, et al. Thermosonic testing with phase matched guided wave excitation. J Nondes Eval. 2016;35(47):1–7.
18. Solodov I, Rahammer M, Gulnizkij N, et al. Noncontact sonic NDE and defect imaging via local defect resonance. J Nondes Eval. 2016;35(48):1–8.
19. 10.1016/j.ultras.2015.02.00710.1016/j.ultras.2015.02.007 ↗
20. 10.1016/j.ndteint.2016.11.01210.1016/j.ndteint.2016.11.012 ↗
21. 10.1016/j.jsv.2017.05.04110.1016/j.jsv.2017.05.041 ↗
22. 10.1016/j.ndteint.2018.12.00810.1016/j.ndteint.2018.12.008 ↗
23. 10.1016/j.ultras.2021.10656510.1016/j.ultras.2021.106565 ↗
24. 10.1016/j.ultras.2022.10675910.1016/j.ultras.2022.106759 ↗
25. 10.1177/1077546321105493310.1177/10775463211054933 ↗
26. 10.1016/j.ymssp.2025.11357310.1016/j.ymssp.2025.113573 ↗
27. 10.1016/j.ndteint.2019.10214610.1016/j.ndteint.2019.102146 ↗
28. 10.1007/s11223-024-00613-z10.1007/s11223-024-00613-z ↗
29. Torbali ME, Zolotas A, Avdelidis NP, et al. Multi-modal analysis of barely visible impact damage in carbon fibre composites through the fusion of pulsed thermography and phased array ultrasonic testing. Quant Infrared Thermogr J. [2026 Mar 15];23(2):119–147.10.1080/17686733.2025.2535166 ↗
30. 10.1016/j.ndteint.2026.10371910.1016/j.ndteint.2026.103719 ↗
31. 10.1115/1.342371210.1115/1.3423712 ↗
32. Polya G, Szego G. Isoperimetric inequalities in mathematical physics. B. Am. Math. Soc. 1951;59(6):588–603.
33. 10.1533/9780857096258.3.31010.1533/9780857096258.3.310 ↗
34. 10.1063/5.027903510.1063/5.0279035 ↗
35. ASTM D7136/D7136M–12. Standard test method for measuring the damage resistance of a fibre-reinforced polymer matrix composite to a drop-weight impact event. West Conshohocken (PA USA): ASTM International; 2012.
36. ACP Composites Inc. Mechanical properties of carbon fiber composite materials fiber/epoxy resin (120°C cure) [technical data sheet]. ACP Composites; n.d. Available from: https://acpcomposites.com/wp-content/uploads/2023/12/Mechanical-Properties-of-Carbon-Fiber-Composite-Materials.pdf