Effect of Delamination on Natural Frequencies of E-glass and S-glass Epoxy Composite Plates

Authors

  • P. K. Karsh Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India and Department of Mechanical Engineering, National Institute of Technology Silchar, India https://orcid.org/0000-0003-3522-3207
  • Bindi Thakkar Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India
  • R. R. Kumar Department of Mechanical Engineering, National Institute of Technology Silchar, India and School of Engineering, Jawaharlal Nehru University, New Delhi, India https://orcid.org/0000-0002-9725-727X
  • Abhijeet Kumar Department of Mechanical Engineering, National Institute of Technology Silchar, India
  • Sudip Dey Department of Mechanical Engineering, National Institute of Technology Silchar, India

DOI:

https://doi.org/10.13052/ejcm1779-7179.29466

Keywords:

Natural frequency, S-glass epoxy, E-glass epoxy, delamination, finite element method

Abstract

The delamination is one of the major modes of failure occurring in the laminated composite due to insufficient bonding between the layers. In this paper, the natural frequencies of delaminated S-glass and E-glass epoxy cantilever composite plates are presented by employing the finite element method (FEM) approach. The rotary inertia and transverse shear deformation are considered in the present study. The effect of parameters such as the location of delamination along the length, across the thickness, the percentage of delamination, and ply-orientation angle on first three natural frequencies of the cantilever plates are presented for S-glass and E-glass epoxy composites. The standard eigenvalue problem is solved to obtain the natural frequencies and corresponding mode shapes. First three mode shape of S-Glass and E-Glass epoxy laminated composites are portrayed corresponding to different ply angle of lamina.

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Author Biographies

P. K. Karsh, Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India and Department of Mechanical Engineering, National Institute of Technology Silchar, India

P. K. Karsh received the bachelor’s degree in Industrial and Production Engineering from Guru Ghasdas Central University, Bilaspur, India in 2012, the master’s degree in Industrial and Production Engineering from National Institute of Technology, Kurukshetra, India in 2016, and the philosophy of doctorate degree in Mechanical Engineering from National Institute of Technology Silchar, India in 2019, respectively. He is currently working as an Assistant Professor at the Department of Mechanical Engineering, Faculty of Engineering & Technology, Parul University, India. His research areas include, stochastic free vibration analysis, impact analysis and failure analysis of composite and functionally graded materials. He has been serving as a reviewer for many highly-respected journals.

Bindi Thakkar, Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India

Bindi Thakkar received the bachelor’s degree in Industrial and Mechanical Engineering from D. Y. Patil College of Engineering Pune, India in 2006, the master’s degree in CAD/CAM from Bharti Vidhyapeeth University, Pine India in 2009, and pursuing PhD in Design and Manufacturing from Parul University in 2020 respectively. She is currently working as an Head Of the Department and Assistant Professor at the Department of Mechanical Engineering, Faculty of Engineering & Technology, Diploma Studies, Parul University, India. She has 14 years of teaching experience at Parul University, since 2008. Her research areas include, Composites, stochastic free vibration analysis, impact analysis and failure analysis of composite and functionally graded materials.

R. R. Kumar, Department of Mechanical Engineering, National Institute of Technology Silchar, India and School of Engineering, Jawaharlal Nehru University, New Delhi, India

R. R. Kumar received the bachelor’s degree in Mechanical Engineering from Rajasthan Technical University, Kota, India in 2014, the master’s degree in Mechanical Engineering from Natioal Institute of Technology, Silchar, India in 2016, and the doctor of Philosophy degree in Mehcnaical Engineering from Natioal Institute of Technology Silchar, India in 2019, respectively. His research area includes: composite structure, stochastic analysis, surrogate modelling, impact analysis, vibration analysis and computational mechanics. He has been serving as a reviewer for several international journals.

Abhijeet Kumar, Department of Mechanical Engineering, National Institute of Technology Silchar, India

Abhijeet kumar has obtained his Bachelor’s degree in Mechanical Engineering from Hindustan College of science and technology, Uttar pradesh, India in 2014, The master’s degree in CAD/CAM & Automation from National Institute of technology, silchar, India in 2018. He has also worked as project intern in Industrial Engineering Department at IIT, Kharagpur, India. He is currently working as a junior manager, Automation & Robotics at Tatametaliks Ltd, India. His research interests include Automation, Robotics, digitalization, impact and failure analysis of composite and functionally graded materials.

Sudip Dey, Department of Mechanical Engineering, National Institute of Technology Silchar, India

Sudip Dey is a faculty in the Mechanical Engineering Department of National Institute of Technology Silchar, India. Previously, He was a Post-doctoral Researcher at Leibniz-Institut für Polymerforschung Dresden e. V., Germany, worked with Prof. Gert Heinrich (TU Dresden, Germany). Prior to that he was a Post-doctoral Researcher at College of Engineering, Swansea University, United Kingdom, worked with Prof. Sondipon Adhikari. He obtained Bachelor in Mechanical Engineering Degree from Jadavpur University, India. He received Ph.D. (Engg.) degree from Jadavpur University, India. His field of specialization is Applied Mechanics and Design. He has more than fifteen years of experience in research, teaching, industrial and professional activities. He is actively engaged in academics, teaching, research and industrial projects. His research interests include molecular dynamics, multi-scale and computational investigation of fibre-matrix interaction, uncertainty quantification, mechanics of composite and functionally graded structures, finite element analyses, digital twin with an emphasis on computational modelling.

References

Della C.N. and D. Shu “Vibration of delaminated composite laminates: A review” Applied Mechanics Reviews, 60/1 1–20, 2017

Nanda N. and S.K. Sahu “Free vibration analysis of delaminated composite shells using different shell theories” International Journal of Pressure Vessels and Piping, 98, 111–118, 2012.

Campanelli R.W. and J.J. Engblom “The effect of aminations in graphite/PEEK composite plates on modal dynamic characteristics” Composite structures, 31/3, 195–202. Composites Letters, 25/2, 43–48, 1995.

Fu, F., “3D finite element analysis of the whole-building behavior of tall building in fire”. Advances in Computational Design, 1(4), pp. 329–344, 2016.

Hu, N., H. Fukunaga, M. Kameyama, Y. Aramaki and F.K. Chang “Vibration analysis of delaminated composite beams and plates using a higher-order finite element” International Journal of Mechanical Sciences, 44/7, 1479–1503, 2002.

Polatov, A.M., Khaldjigitov, A.A. and Ikramov, A.M., “Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM”. Advances in Computational Design, 5(3), pp. 305–321, 2020.

Krawczuk M. and W.M. Ostachowicz, “Modelling and vibration analysis of a cantilever composite beam with a transverse open crack” Journal of Sound and Vibration, 183/1, 69–89, 1995.

Kaya A.I., M. Kisa, M. Ozen, “Influence of natural weathering conditions on the natural frequency change of woven carbonfibre reinforced composites” Advanced Composites Letters, 27/ 2, 49–54, 2018.

Dey S., T. Mukhopadhyay, A. Spickenheuer, U. Gohs and S. Adhikari, “Uncertainty quantification in natural frequency of composite plates-An Artificial neural network based approach” Advanced Composites Letters, 25/2, 43–48, 2016.

Birman V. and L.W. Byrd, “Effect of matrix cracking in cross-ply ceramic matrix composite beams on their mechanical properties and natural frequencies” International journal of non-linear mechanics, 38/2, 201–212, 2003.

Ramkumar R.L., S.V. Kulkarni, R.B. Pipes, “Free vibration frequencies of a delaminated beam” Reinforcing the future, 1979.

Wang J.T.S., Y.Y. Liu, J.A. Gibby, “Vibrations of split beams” Journal of Sound and Vibration, 84/4, 491–502, 1982.

Kalita K., M. Ramachandran, P. Raichurkar, S.D. Mokal and S. Haldar, “Free vibration analysis of laminated composites by a nine node iso-parametric plate bending element” Advanced Composites Letters, 25/5, 108–116, 2016.

Ercopur T. and B.G. Kiral, “Investigation of free vibration response of E-glass/epoxy delaminated composite plates” Advanced Composites Letters, 21/1, 5–15, 2012.

Saravanos D.A. and D.A. Hopkins, “Effects of delaminations on the damped dynamic characteristics of composite laminates: analysis and experiments” Journal of Sound and Vibration, 192/5, 977–993, 1996.

Kisa M., “Free vibration analysis of a cantilever composite beam with multiple cracks” Composites Science and Technology, 64/9, 1391–1402, 2004.

Perel V.Y., “Finite element analysis of vibration of delaminated composite beam with an account of contact of the delamination crack faces, based on the first-order shear deformation theory” J. of compo. material, 39/20, 1843–1876, 2005.

Viola E., M. Dilena and F. Tornabene, “Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches” J. of So. And Vibra., 299/1–2, 143–163, 2007.

Qatu M. S., A.W. Leissa, “Vibration studies for laminated composite twisted cantilever plates” International Journal of Mechanical Sciences, 33/11, 927–940, 1991.

Karsh, P. K., R. R. Kumar, and S. Dey. “Radial basis function-based stochastic natural frequencies analysis of functionally graded plates.” International Journal of Computational Methods 17, 09, 2020: 1950061.

Karsh, P. K., T. Mukhopadhyay, and S. Dey. “Stochastic investigation of natural frequency for functionally graded plates.” In IOP conference series: materials science and engineering, 326, 1, p. 012003. IOP Publishing, 2018.

Karsh, P. K., H. P. Raturi, R. R. Kumar, and S. Dey. “Parametric uncertainty quantification in natural frequency of sandwich plates using polynomial neural network.” In IOP Conference Series: Materials Science and Engineering, 798, 1, p. 012036. IOP Publishing, 2020.

Karsh P.K., T. Mukhopadhyay and S. Dey, “Stochastic dynamic analysis of twisted functionally graded plates” Composites Part B: Engineering, 147, 259–278, 2018.

Shen M.H. and J.E. Grady, Free vibrations of delaminated beams. AIAA Journal, 30/5, 1361–1370, 1992.

Dey S. and A. Karmakar, “Effect of Multiple Delamination on Free Vibration Behaviour of Quasi-Isotropic Composite Conical Shells” Journal of The Inst. of Engineers: Series C, 94/1, 53–63, 2013.

Dey S. and A. Karmakar, “Effect of location of delamination on free vibration of cross-ply conical shells”. Shock and Vibration, 19/4, 679–692, 2012.

R.M. Jones, “Mechanics of Composite Materials” (Hemisphere, New York), 147–156, 1975

Ercopur, Turan, and Binnur Goren Kiral. “Investigation of free vibration response of E-glass/epoxy delaminated composite plates.” Advanced Composites Letters 21 (1), 2012: 096369351202100101.

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Published

2021-05-22

How to Cite

Karsh, P. K., Thakkar, B., Kumar, R. R., Kumar, A., & Dey, S. (2021). Effect of Delamination on Natural Frequencies of E-glass and S-glass Epoxy Composite Plates. European Journal of Computational Mechanics, 29(4-6), 437–458. https://doi.org/10.13052/ejcm1779-7179.29466

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