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Stress and failure analysis of composite plates with a circular hole subjected to shear loading. Part 2, Results and discussions

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper, the second part of two parts of a complete paper, presents the analytical and numerical results of stresses around circular cutouts in anisotropic and isotropic plates under shear loading. The main aim of this study is to understand the effect of the presence of cutouts on the stress concentration and failure mechanisms in composite laminates. The numerical investigations are performed by means of the quadrilateral finite element of four nodes with thirty-two degrees of freedom. The present finite element is a combination of two finite elements. The first one is a simple linear isoparametric membrane element and the second one is a high-precision rectangular Hermitian element. The analytical and finite element formulations were presented in the first part of the paper. Several new examples are considered to demonstrate and affirm the accuracy and the performance of the present element and to highlight the effect of some parameters on the stress distributions. The numerically obtained results are found to be in good agreement with the analytical findings. On the other hand, first ply failure (FPF) strengths in laminates with and without holes are calculated by adapting the Hashin-Rotem, Tsai-Hill, and Tsai-Wu failure theories. Finally, the numbers of the figures are obtained, using various E1/E2 ratio values, for the maximum positive and negative stresses values located in the vicinity of the cutout versus the angular location of points, and for various fiber orientation angles.
Rocznik
Strony
225--232
Opis fizyczny
Bibliogr. 44 poz., rys., tab.
Twórcy
  • Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria
  • Laboratoire de Génie Energétique et Matériaux, LGEM, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria
  • Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria
  • Research Center in Industrial Technologies CRTI, P.O. Box 64, Cheraga 16014, Algeria
Bibliografia
  • [1] Topal U., Uzman Ü., Frequency optimization of laminated composite angle-ply plates with circular hole. Materials & Design 2008, 29(8), 1512-1517.
  • [2] Bouzgou A.A., Khechai A., Tati A., Stress concentration and deflection in isotropic and orthotropic plates with opening. Finite element study, Revue des Composites et des Matériaux Avancés 2015, 25.
  • [3] Khechai A. et al., Finite element analysis of stress concentrations in insotropic and composite plates with elliptical holes, In: Design and Modeling of Mechanical Systems-II, Springer, 2015, 427-436.
  • [4] Bouzgou A.A., Tati A., Khechai A., Analysis of deflection in isotropic and orthotropic rectangular plates with central opening under transverse static loading, In: Applied Mechanics, Behavior of Materials, and Engineering Systems, Springer 2017, 399-409.
  • [5] Khechai A. et al., Strength improvement and stress analysis of e-glass laminated plates with circular notches using digital image correlation, In: Composite and Nanocomposite Materials – From Knowledge to Industrial Applications, IntechOpen 2019.
  • [6] Khechai A., Mohite P., Optimum design of perforated symmetric laminates using evolutionary algorithm, Journal of Composite Materials 2019, 53(23), 3281-3305.
  • [7] Khechai A., et al., A general solution for stress resultants around a circular cutout in laminate plates under different in-plane loadings: analytical and experimental investigations, Archive of Applied Mechanics 2018, 88(7), 1187-1208.
  • [8] Khechai A., Tati A., Guettala A., Numerical study of the effect of presence of geometric singularities on the mechanical behavior of laminated plates, Journal of the Institution of Engineers (India), Series C 2018, 99(6), 717-728.
  • [9] Ukadgaonker V., Rao D., A general solution for stress resultants and moments around holes in unsymmetric laminates, Composite Structures 2000, 49(1), 27-39.
  • [10] Ukadgaonker V., Kakhandki V., Stress analysis for an orthotropic plate with an irregular shaped hole for different in-plane loading conditions, Part 1, Composite Structures 2005, 70(3), 255-274.
  • [11] Sharma D.S., Stress concentration around circular/elliptical/ triangular cutouts in infinite composite plate, Proceedings of the World Congress on Engineering, 2011.
  • [12] Pilkey W.D., Pilkey D.F., Bi Z., Peterson's Stress Concentration Factors, Jonh Wiley and Sons 2020.
  • [13] Kaltakci M.Y., Stress concentrations and failure criteria in anisotropic plates with circular holes subjected to tension or compression, Computers & Structures 1996, 61(1), 67-78.
  • [14] Lekhnitskii S.G., Anisotropic plates, Gordon and Breach, 1968.
  • [15] Savin G.N., Stress Concentration Around Holes, Pergamon Press, 1961.
  • [16] Muskhelishvili N.I., Some basic problems of the mathematical theory of elasticity, Noordhoff Groningen 1953, 15.
  • [17] Xu X., Sun L., Fan X., Stress concentration of finite composite aminates with elliptical hole, Computers & Structures 1995, 57(1), 29-34.
  • [18] Tsukrov I., Novak J., Effective elastic properties of solids with defects of iregular shapes, International Journal of Solids and Structures 2002, 39(6), 1539-1555.
  • [19] Vigdergauz S., Optimal stiffening of holes under equibiaxial tension. International Journal of Solids and Structures 1993, 30(4), 569-577.
  • [20] Exadaktylos G., Liolios P., Stavropoulou M., A semi-analytical elastic stress-diplacement solution for or notched circular openings in rocks, International Journal of Solids and Structures 2003, 40(5), 1165-1187.
  • [21] Cherkaev A. et al., The cavity of the optimal shape undervthe shear stresses, International Journal of Solids and Structures 1998, 35(33), 4391-4410.
  • [22] Dharmin P., Khushbu P., Chetan J., A review on stressvanalysis of an infinite plate with cut-outs, International Journal of Scientific and Research Publications 2012, 2(11), 1-7.
  • [23] Nagpal S., Jain N., Sanyal S., Stress concentration and its mitigation techniques in flat plate with singularities – A critical review, Engineering Journal 2012, 16(1), 1-16.
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  • [25] Arslan H.M., Stress concentrations in fiber reinforced composite plates containing circular holes subjected to shear stress, Kuwait Journal of Science and Engineering 2007, 34(1B), 1.
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  • [27] Kalita K., Halder S., Static analysis of transversely loaded isotropic and orthotropic plates with central cutout, Journal of the Institution of Engineers (India), Series C 2014, 95(4), 347-358.
  • [28] Nagpal S., Jain N.K., Sanyal S., Three dimensional parametric analyses of stress concentration factor and its mitigation in isotropic and orthotropic plate with central circular hole under axial in-plane loading, Journal of the Institution of Engineers (India), Series C 2016, 97(1), 85-92.
  • [29] Joshi S. et al., SCF in isotopic & orthotropic plates, Part II: Biaxial Load, Materials Today: Proceedings 2017, 4(2), 2639-2644.
  • [30] Jadvani N. et al., SCF in Isotopic & Orthotropic Plates, Part I: Uniaxial load, Materials Today: Proceedings, 2017, 4(2), 2632-2638.
  • [31] Jadvani N. et al., Non-dimensional stress analysis of orthotropic laminates, Materials Focus 2017, 6(1), 63-71.
  • [32] Kumar A. et al., Analysis of stress concentration in orthotropic laminates, Procedia Technology 2016, 23, 156-162.
  • [33] Kalita K., Shinde D., Thomas T.T., Non-dimensional stress analysis of an orthotropic plate, Materials Today: Proceedings 2015, 2(4-5), 3527-3533.
  • [34] Khechai A. et al., Strength degradation and stress analysis of composite plates with circular, square and rectangular notches using digital image correlation, Composite Structures 2018, 185, 699-715.
  • [35] Barski M., Static and fatigue strength of composite plates with holes, Composites Theory and Practice 2014, 1, 3-7.
  • [36] Kwiatkowski D., Nabialek J., The study of crack resistance of the pp composites with talc on the basis of the stress intensity factor, Composites Theory and Practice 2009, 9(4), 369-372.
  • [37] Hufenbach W. et al., Multistable fibre-reinforced composites with cutouts, Kompozyty (Composites) 2003, 3, 7.
  • [38] Hufenbach W. et al., Enhanced strength models for notched laminates with finite outer boundaries, Kompozyty (Composites) 2003, 3, 7.
  • [39] Hufenbach W. et al., Analiza koncentracji naprężeń dla drewna wzmocnionego materiałem tekstylnym, Kompozyty (Composites) 2002, 2, 5.
  • [40] Chwał M. et al., Residual stresses in multilayered composites – General overview, Composites Theory and Practice 2016, 16(3), 132-138.
  • [41] Bondyra A., Miarka S., Pastuszak P.D., Static compression of GFRP plate with hole-3D scanning comparative evaluation, Composites Theory and Practice 2016, 16(4), 218-222.
  • [42] Barski M., Kędziora P., Chwał M., Design of rectangular composite plates with circular holes, Composites Theory and Practice 2016, 1(16), 52-57.
  • [43] Tsai S.W., Hahn H.T., Introduction to Composite Materials, Routledge 2018.
  • [44] Hashin’s failure criteria for unidirectional fiber composites, India Institute of Technology, Kanpur, 1980.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-edf41ff7-ecf1-4163-9327-00ea8bce1e37
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