Coupled systems mechanics

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Multilayered frame structure subjected to non-linear creep: A delamination analysis

  • Rizov, Victor I. (Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy) ;
  • Altenbach, Holm (Lehrstuhl fur Technische Mechanik, Fakultat fur Maschinenbau, Otto-von-Guericke-Universitat Magdeburg)
  • Received : 2021.11.12
  • Accepted : 2022.01.05
  • Published : 2022.06.25
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Abstract

The present paper is concerned with a delamination analysis of a multilayered frame structure that exhibits non-linear creep behavior. A solution to the strain energy release rate is obtained by considering the time-dependent complementary strain energy in the frame. The mechanical behavior of the frame is treated by using a non-linear stress-strain-time relationship. The time-dependent solution to the strain energy release rate obtained in the present paper holds for a multilayered frame made of arbitrary number of adhesively bonded layers of different thicknesses and material properties. Besides, the dealamination is located arbitrary along the thickness. The solution to the strain energy release rate is verifiedby applying the J-integral approach. A parametric study of the strain energy release rate is carried-out. Two three-layered frame configurations are analyzed in order to evaluate the influence of the delamination crack location along the thickness on the strain energy release rate. The strain energy release is analyzed also for the case when a notch is cut-out in the inner delamination crack arm. The results obtained are compared with these for a frame without a notch.

Keywords

Acknowledgement

This study was performed during the German Academic Exchange Organization (DAAD) supported research stay of the first author (V.I.R.) in Department of Engineering Mechanics, Institute of Mechanics, Otto-von-Guericke-University, Magdeburg, Germany.

References

  1. Amenzadeh, R.Y. and Kiyasbeyli, E.T. (2007), "Critical time of a long multilayer viscoelastic shell", Mech. Compos. Mater., 43(5), 419-426. https://doi.org/10.1007/s11029-007-0039-6.
  2. Amenzadeh, R.Y., Kiyasbeyli, E.T. and Fatullaeva, L.F. (2006), "The limiting state of a rigidly fixed nonlinearly elastic multilayer rod", Mech. Compos. Mater., 42(3), 243-252. https://doi.org/10.1007/s11029-006-0034-3.
  3. Amenzadeh, R.Y., Kiyasbeyli, E.T. and Fatullayeva, L.F. (2011), "Flattening of a long multilayered viscoelastic cylindrical shell with a varying wall thickness", Mech. Compos. Mater., 47(2), 239-250. https://doi.org/10.1007/s11029-011-9201-2.
  4. Araki, N., Makino, A., Ishiguro, T. and Mihara, J. (1992), "An analytical solution of temperature response in multilayered materials for transient methods", Int. J. Thermophys., 13(3), 515-538. https://doi.org/10.1007/BF00503887.
  5. Ariga, K., Ji, Q., Hill, J.P., Bando, Y. and Aono, M. (2012), "Forming nanomaterials as layered functional structures toward materials nanoarchitectonics", NPG Asia Mater., 4(5), 1-11. https://doi.org/10.1038/am.2012.30.
  6. Broek, D. (1982), Elementary Engineering Fracture Mechanics, Springer, Netherlands.
  7. Cilli, A. and Ozturk, A. (2010), "Dispersion of torsional waves in initially stressed multilayered circular cylinders", Mech. Compos. Mater., 46, 227-236. https://doi.org/10.1007/s11029-010-9141-2.
  8. Dowling, N.E. (2013), Mechanical Behavior of Materials, Pearson.
  9. Kaul, A.B. (2014), "Two-dimensional layered materials: Structure, properties, and prospects for device applications", J. Mater. Res., 29(3), 348-361. https://doi.org/10.1557/jmr.2014.6.
  10. Lloyd, S.J. and Molina-Aldareguia, J.M. (2003), "Multilayered materials: a palette for the materials artist", Phil. Trans. R. Soc. Lond. A, 361(1813), 2931-294. https://doi.org/10.1098/rsta.2003.1276.
  11. Maras, S., Yaman, M. and Sansveren, M.F. (2019), "Dynamic analysis of laminated syntactic foam beams", 3rd International Conference on Advanced Engineering Technologies (ICADET), September.
  12. Maras, S., Yaman, M., Sansveren, M.F. and Reyhan, S.K. (2018), "Free vibration analysis of fiber metal laminated straight beam", Open Chem., 16, 944-948. https://doi.org/10.1515/chem-2018-0101.
  13. Ozturk, A. (2017), "Propagation of torsional waves in pre-stretched composite cylinder with an imperfect interface", AIP Conf. Proc., 1815(1), 140004. https://doi.org/10.1063/1.4976492.
  14. Ozturk, A. and Akbarov, S.D. (2009), "Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder", ZAMM J. Appl. Math. Mech./Zeitschrift fur Angewandte Mathematik und Mechanik, 89(9), 754-766. https://doi.org/10.1002/zamm.200800201.
  15. Rizov, V. and Altenbach, H. (2020), "Longitudinal fracture analysis of inhomogeneous beams with continuously varying sizes of the cross-section along the beam length", Frattura ed Integrita Strutturale, 53, 38-50. https://doi.org/10.3221/IGF-ESIS.53.04.
  16. Rizov, V.I. (2017), "Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity", Frattura ed Integrita Strutturale, 41, 498-510. https://doi.org/10.3221/IGFESIS.41.61.
  17. Rizov, V.I. (2018), "Analysis of cylindrical delamination cracks in multilayered functionally graded nonlinear elastic circular shafts under combined loads", Frattura ed Integrita Strutturale, 46, 158-177. https://doi.org/10.3221/IGF-ESIS.46.16.
  18. Rizov, V.I. (2019), "Influence of material inhomogeneity and non-linear mechanical behavior of the material on delamination in multilayered beams", Frattura ed Integrita Strutturale, 47, 468-481. https://doi.org/10.3221/IGF-ESIS.47.37.
  19. Rizov, V.I. (2020), "Inhomogeneous multilayered beams of linearly changing width: a delamination analysis", IOP Conf. Ser.: Mater. Sci. Eng., 739(1), 012004. https://doi.org/10.1088/1757-899X/739/1/012004.
  20. Rizov, V.I. (2020a), "Investigation of two parallel lengthwise cracks in an inhomogeneous beam of varying thickness", Couple. Syst. Mech., 9(4), 381-396. https://doi.org/10.12989/csm.2020.9.4.381.
  21. Rizov, V.I. (2021), "Delamination analysis of multilayered beams exhibiting creep under torsion", Couple. Syst. Mech., 10(4), 317-331. https://doi.org/10.12989/csm.2021.10.4.317.
  22. Sansveren, M.F. and Yaman, M. (2019), "The effect of carbon nanofiber on the dynamic and mechanical properties of Epoxy/Glass microballoon syntactic foam", Adv. Compos. Mater., 28(6), 561-575. https://doi.org/10.1080/09243046.2019.1610929.
  23. Shestov, V.V., Antipov, V.V. and Ryabov, D.K. (2017), "Corrosion resistance and mechanical properties of layered structural material based on aluminum alloy and fiberglass thin sheets", Metallurgist., 60, 1191-1196. https://doi.org/10.1007/s11015-017-0428-6.
  24. Tekalur, S.A., Shukla, A. and Shivakumar, K. (2008), "Blast resistance of polyurea based layered composite materials", Compos. Struct., 84, 271-281. https://doi.org/10.1016/j.compstruct.2007.08.008.
  25. Tench, D.M. and White, J.T. (1991), "Tensile properties of nanostructured Ni-Cu multilayered materials prepared by electrodeposition", J. Electrochem. Soc., 138, 3757-3758. https://doi.org/10.1149/1.2085495
  26. Wang, X., Sun, Y. and Liu, K. (2019), "Chemical and structural stability of 2D layered materials", 2D Mater., 6, 042001. https://doi.org/10.1088/2053-1583/ab20d6.