Article Article
Effect of Crack Orientation on Laminated CFRP Composites Using Vibration and Numerical Analysis

Crack orientation, a critical parameter, significantly affects the dynamic properties of composite structures. Experimental free vibration tests were conducted on carbon fiber–reinforced polymer (CFRP) composite plates at room temperature with different crack orientations. Dynamic properties such as damping ratio, natural frequency, and storage modulus were measured using a four-channel dynamic pulse analyzer. Multi-sensors were mounted on the test plate to pick up the vibration signals. Experimental modal analysis was performed to identify the first three mode shapes of the defective plates. A numerical model using ANSYS software was developed via parametric investigation to predict the correlation between crack orientation and resonant frequencies with corresponding mode shapes. The orientation of the introduced cracks had a significant effect on the dynamic properties of CFRP composites. Vertical cracks had the most significant influence on the eigenvalues of the mode shape frequencies. Furthermore, the damping ratio was an effective method to detect the cracks in CFRP composites.



Abushanab, W.S., and E.B. Moustafa, 2018, “Detection of Friction Stir Welding Defects of AA1060 Aluminum Alloy Using Specific Damping Capacity,” Materials, Vol. 11, No. 12, /ma11122437

Abushanab, W.S., and E.B. Moustafa, 2020, Process for forming and quality proofing a friction stir welded plate, US Patent 10,837,945 B1, filed 5 August 2020, and issued 17 November 2020

ASTM, 2015, ASTM E1876: Standard Test Method for Dynamic Young’s Modulus, Shear Modulus, and Poisson’s Ratio by Impulse Excitation of Vibration, ASTM International, West Conshohocken, PA

ASTM, 2017a, ASTM D3039/D3039M: Standard Test Method for Tensile Properties of Polymer Matrix Composite Materials, ASTM International, West Conshohocken, PA

ASTM, 2017b, ASTM E756-05: Standard Test Method for Measuring Vibration-Damping Properties of Materials, ASTM International, West Conshohocken, PA

Aydın, M.R., Ö. Gündoğdu, B. Kaya, G. Bayraktar, O.K. Aksuoğlu, and O. Hotunlu, 2018, “Effect of Orientation Angles on Vibration Properties at Carbon Fiber Reinforced Polymeric Composites,” Engineering Sciences (NWSAENS), Vol. 13, No. 3, pp. 180–189,

Berthelot, J.-M., M. Assarar, Y. Sefrani, and A. El Mahi, 2008, “Damping analysis of composite materials and structures,” Composite Structures, Vol. 85, No. 3, pp. 189–204,

Burrows, S.E., A. Rashed, D.P. Almond, and S. Dixon, 2007, “Combined Laser Spot Imaging Thermography and Ultrasonic Measurements for Crack Detection,” Nondestructive Testing and Evaluation, Vol. 22, Nos. 2–3, pp. 217–227,

Cawley, P., and R.D. Adams, 1979a, “A Vibration Technique for Non-Destructive Testing of Fibre Composite Structures,” Journal of Composite Materials, Vol. 13, No. 2, pp. 161–175,

Cawley, P., and R.D. Adams, 1979b, “The Location of Defects in Structures from Measurements of Natural Frequencies,” The Journal of Strain Analysis for Engineering Design, Vol. 14, No. 2, pp. 49–57,

Chaubey, A.K., A. Kumar, and A. Chakrabarti, 2020, “Effect of Multiple Cutouts on Shear Buckling of Laminated Composite Spherical Shells,” Materials Today: Proceedings, Vol. 21, pt. 2, pp. 1155–1163,

Ding, G., C. Xie, J. Zhang, G. Zhang, C. Song, and Z. Zhou, 2015, “Modal Analysis based on Finite Element Method and Experimental Validation on Carbon Fibre Composite Drive Shaft Considering Steel Joints,” Materials Research Innovations, Vol. 19, No. sup5, pp. S5-748–S5-753,

El-Hafidi, A., P.B. Gning, B. Piezel, M. Belaïd, and S. Fontaine, 2017, “Determination of Dynamic Properties of Flax Fibres Reinforced Laminate Using Vibration Measurements,” Polymer Testing, Vol. 57, pp. 219–225,

Erkliğ, A., M. Bulut, and E. Yeter, 2013, “Effects of Cutouts on Natural Frequency of Laminated Composite Plates,” Science and Engineering of Composite Materials, Vol. 20, No. 2, pp. 179–185,

Gargallo, L., and D. Radic, 2009, Physicochemical Behavior and Supramolecular Organization of Polymers, Springer,

Hammad, A.H., and E.B. Moustafa, 2020, “Study Some of the Structural, Optical, and Damping Properties of Phosphate Glasses Containing Borate,” Journal of Non-Crystalline Solids, Vol. 544,

He, Y., F. Luo, X. Hu, B. Liu, and J. Gao, 2009, “Defect Identification and Evaluation based on Three-Dimensional Magnetic Field Measurement of Pulsed Eddy Current,” Insight, Vol. 51, No. 6, pp. 310–314(5),

Iezzi, F., C. Valente, and F. Brancaleoni, 2020, “Experimental Validation of Damage Indices based on Complex Modes for Damage Detection in Vibrating Structures,” Proceedings of the 13th International Conference on Damage Assessment of Structures,

Iliopoulos, S., D.G. Aggelis, L. Pyl, J. Vantomme, P. Van Marcke, E. Coppens, and L. Areias, 2015, “Detection and Evaluation of Cracks in the Concrete Buffer of the Belgian Nuclear Waste Container Using Combined NDT Techniques,” Construction and Building Materials, Vol. 78, pp. 369–378,

Kyriazoglou, C., B.H. Le Page, and F.J. Guild, 2004, “Vibration Damping for Crack Detection in Composite Laminates,” Composites Part A: Applied Science and Manufacturing, Vol. 35, Nos. 7–8, pp. 945–953,

Maia, N.M.M., J.M.M. Silva, E.A.M. Almas, and R.P.C. Sampaio, 2003, “Damage Detection in Structures: From Mode Shape to Frequency Response Function Methods,” Mechanical Systems and Signal Processing, Vol. 17, No. 3, pp. 489–498,

Mandal, A., C. Ray, and S. Haldar, 2019, “Experimental and Numerical Studies on Vibration Characteristics of Laminated Composite Skewed Shells with Cutout,” Composites Part B: Engineering, Vol. 161, pp. 228–240,

Manoach, E., J. Warminski, L. Kloda, and A. Teter, 2016, “Vibration Based Methods for Damage Detection in Structures,” MATEC Web of Conferences,

Manoach, E., S. Samborski, A. Mitura, and J. Warminski, 2012, “Vibration Based Damage Detection in Composite Beams under Temperature Variations Using Poincaré Maps,” International Journal of Mechanical Sciences, Vol. 62, No. 1, pp. 120–132,

Mohan, A., and S. Poobal, 2018, “Crack Detection Using Image Processing: A Critical Review and Analysis,” Alexandria Engineering Journal, Vol. 57, No. 2, pp. 787–798, .01.020

Moustafa, E.B., 2018, “Dynamic Characteristics Study for Surface Composite of AMMNCs Matrix Fabricated by Friction Stir Process,” Materials, Vol. 11, No. 7,

Moustafa, E.B., and K.H. Almitani, 2021, “Detecting Damage in Carbon Fibre Composites Using Numerical Analysis and Vibration Measurements,” Latin American Journal of Solids and Structures, Vol. 18, No. 3,

Murčinková, Z., I. Vojtko, M. Halapi, and M. Šebestová, 2019, “Damping Properties of Fibre Composite and Conventional Materials Measured by Free Damped Vibration Response,” Advances in Mechanical Engineering, Vol. 11, No. 5,

Mustapha, S., L. Ye, D. Wang, and Y. Lu, 2011, “Assessment of Debonding in Sandwich CF/EP Composite Beams Using A0 Lamb Wave at Low Frequency,” Composite Structures, Vol. 93, No. 2, pp. 483–491,

Mustapha, S., L. Ye, X. Dong, and M. Makki Alamdari, 2016, “Evaluation of Barely Visible Indentation Damage (BVID) in CF/EP Sandwich Composites Using Guided Wave Signals,” Mechanical Systems and Signal Processing, Vols. 76–77, pp. 497–517,

Nagasankar, P., S. Balasivanandha Prabu, and R. Velmurugan, 2012, “The Influence of the Different Fiber lay-ups on the Damping Characteristics of Polymer Matrix Composite,” Journal of Applied Sciences, Vol. 12, No. 10, pp. 1071–1074,

Ngo-Cong, D., N. Mai-Duy, W. Karunasena, and T. Tran-Cong, 2011, “Free Vibration Analysis of Laminated Composite Plates based on FSDT Using One-Dimensional IRBFN Method,” Computers & Structures, Vol. 89, Nos. 1–2, pp. 1–13,

Ostachowicz, W.M., and M. Krawczuk, 1990, “Vibration Analysis of a Cracked Beam,” Computers & Structures, Vol. 36, No. 2, pp. 245–250,

Pei, X.Y., and J.L. Li, 2011, “The Effects of Fiber Orientation on the Vibration Modal Behavior of Carbon Fiber Plain Woven Fabric/Epoxy Resin Composites,” Advanced Materials Research, Vol. 391–392, pp. 345–348,

Pereira, G.F., L.P. Mikkelsen, and M. McGugan, 2015, “Crack Detection in Fibre Reinforced Plastic Structures Using Embedded Fibre Bragg Grating Sensors: Theory, Model Development and Experimental Validation,” PloS ONE, Vol. 10, No. 10,

Razvan, A., C.E. Bakis, and K.L. Reifsnider, 1990, “SEM Investigation of Fiber Fracture in Composite Laminates,” Materials Characterization, Vol. 24, No. 2, pp. 179–190,

Romhány, G., T. Czigány, and J. Karger-Kocsis, 2017, “Failure Assessment and Evaluation of Damage Development and Crack Growth in Polymer Composites via Localization of Acoustic Emission Events: A Review,” Polymer Reviews, Vol. 57, No. 3, pp. 397–439,

Roy, S., 2014, “Structural Damage Detection Using Ultrasonic Guided Waves Under Varying Ambient Temperature and Loading Environments,” PhD thesis, Stanford University

Rueppel, M., J. Rion, C. Dransfeld, C. Fischer, and K. Masania, 2017, “Damping of Carbon Fibre and Flax Fibre Angle-Ply Composite Laminates,” Composites Science and Technology, Vol. 146, pp. 1–9,

Sengupta, S., A.K. Datta, and P. Topdar, 2015, “Structural Damage Localisation by Acoustic Emission Technique: A State of the Art Review,” Latin American Journal of Solids and Structures, Vol. 12, No. 8,

Shateri, M., M. Ghaib, D. Svecova, and D. Thomson, 2017, “On Acoustic Emission for Damage Detection and Failure Prediction in Fiber Reinforced Polymer Rods Using Pattern Recognition Analysis,” Smart Materials and Structures, Vol. 26, No. 6,

Sun, Z., J. Xiao, X. Yu, R. Tusiime, H. Gao, W. Min, L. Tao, L. Qi, H. Zhang, and M. Yu, 2020, “Vibration Characteristics of Carbon-Fiber Reinforced Composite Drive Shafts Fabricated Using Filament Winding Technology,” Composite Structures, Vol. 241,

Tsai, J.-L., and Y.-K. Chi, 2008, “Effect of Fiber Array on Damping Behaviors of Fiber Composites,” Composites Part B: Engineering, Vol. 39, Nos. 7–8, pp. 1196–1204,

Utomo, J.T., D.D. Susilo, and W.W. Raharja, 2017, “The Influence of the Number and Position of the Carbon Fiber Lamina on the Natural Frequency and Damping Ratio of the Carbon-Glass Hybrid Composite,” AIP Conference Proceedings, Vol. 1788, No. 1,

Wang, Q., B. Qin, D. Shi, and Q. Liang, 2017, “A Semi-Analytical Method for Vibration Analysis of Functionally Graded Carbon Nanotube Reinforced Composite Doubly-Curved Panels and Shells of Revolution,” Composite Structures, Vol. 174, pp. 87–109,

Wen, J., Z. Xia, and F. Choy, 2011, “Damage Detection of Carbon Fiber Reinforced Polymer Composites via Electrical Resistance Measurement,” Composites Part B: Engineering, Vol. 42, No. 1, pp. 77–86,

Wright, G.C., 1972, “The Dynamic Properties of Glass and Carbon Fibre Reinforced Plastic Beams,” Journal of Sound and Vibration, Vol. 21, No. 2, pp. 205–212,

Wu, J., D. Zhou, and J. Wang, 2014a, “Surface Crack Detection for Carbon Fiber Reinforced Plastic Materials Using Pulsed Eddy Current Based on Rectangular Differential Probe,” Journal of Sensors, Vol. 2014,

Wu, J., D. Zhou, J. Wang, X. Guo, L. You, W. An, and H. Zhang, 2014b, “Surface Crack Detection for Carbon Fiber Reinforced Plastic (CFRP) Materials Using Pulsed Eddy Current Testing,” 2014 IEEE Far East Forum on Nondestructive Evaluation/Testing,

Yan, Y.J., and L.H. Yam, 2002, “Online Detection of Crack Damage in Composite Plates Using Embedded Piezoelectric Actuators/Sensors and Wavelet Analysis,” Composite Structures, Vol. 58, No. 1, pp. 29–38,

Yu, J., Y.Z. Liu, and R.R. Shi, 2009, “Studies on Crack Propagation of Carbon Fiber Reinforced Epoxy Resin Composite,” Advanced Materials Research, Vols. 79–82, pp. 1029–1033,


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