Nondeterministic multi-scale failure analysis in a woven composite fabric with a circular hole

Document Type : Research Article

Authors

Department of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran

Abstract

Uncertainties during the manufacturing process of composite parts cause the stress field to be uncertain, and there is a range of stress concentration coefficients instead of an exact number for the stress concentration. In this study, the stress field and failure of woven composite fabric with an open hole were investigated using multiscale statistical analysis. Using analytical relations and numerical methods, the mechanical properties of a woven composite fabric were homogenized by multiscale analysis. The results of the finite element analysis of the macroscale structure were localized at the mesoscale. The various failure criteria of the composite materials around the hole were investigated using finite element analysis. Thus, the stress concentration coefficient of the composite woven fabric was obtained using these two failure criteria. A comparison of the experimental tests and multi-scale simulation results shows that the multi-scale analysis method is reliable, and confirms that the geometric uncertainties of a hole in a woven composite plate lead to different stress values around the hole in different situations. The values of the stress coefficients in the fibers vary between 1.97 and 3.09. This parameter is between 2.44 and 2.80 in the matrix. It has also been shown that from a nondeterministic point of view, the stress concentration coefficient can be estimated using a multi-scale method.

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References

[1] S.A. Kumar, R. Rajesh, S. Pugazhendhi, A review of stress concentration studies on fibre composite panels with holes/cutouts, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 234(11) (2020) 1461–1472.
[2] J.M. Whitney, R.J. Nuismer, Stress Fracture Criteria for Laminated Composites Containing Stress Concentrations, Journal of Composite Materials, 8(3) (1974) 253–265.
[3] J.-K. Kim, D.-S. Kim, N. Takeda, Notched Strength and Fracture Criterion in Fabric Composite Plates Containing a Circular Hole, Journal of Composite Materials, 29(7) (1995) 982–998.
[4] K.N. Surya D. Pandita, Ignaas Verpoest, Strain concentrations in woven fabric composites with holes, Composite Structures, 59 (2003) 361–368.
[5] L. Toubal, M. Karama, B. Lorrain, Stress concentration in a circular hole in composite plate, Composite Structures, 68(1) (2005) 31–36.
[6] J. Li, X.B. Zhang, A criterion study for non-singular stress concentrations in brittle or quasi-brittle materials, Engineering Fracture Mechanics, 73(4) (2006) 505–523.
[7] P.P. Camanho, P. Maimí, C.G. Dávila, Prediction of size effects in notched laminates using continuum damage mechanics, Composites Science and Technology, 67(13) (2007) 2715–2727.
[8] E. Martin, D. Leguillon, N. Carrère, A coupled strength and toughness criterion for the prediction of the open hole tensile strength of a composite plate, International Journal of Solids and Structures, 49(26) (2012) 3915–3922.
[9] B.G. Green, M.R. Wisnom, S.R. Hallett, An experimental investigation into the tensile strength scaling of notched composites, Composites Part A: Applied Science and Manufacturing, 38(3) (2007) 867–878.
[10] P.P. Camanho, G.H. Erçin, G. Catalanotti, S. Mahdi, P. Linde, A finite fracture mechanics model for the prediction of the open-hole strength of composite laminates, Composites Part A: Applied Science and Manufacturing, 43(8) (2012) 1219–1225.
[11] G. Catalanotti, P.P. Camanho, A semi-analytical method to predict net-tension failure of mechanically fastened joints in composite laminates, Composites Science and Technology, 76(4) (2013) 69–76.
[12] A. Arteiro, G. Catalanotti, J. Xavier, P.P. Camanho, Notched response of non-crimp fabric thin-ply laminates: Analysis methods, Composites Science and Technology, 88(2) (2013) 165–171.
[13] J. Modniks, E. Spārniņš, J. Andersons, W. Becker, Analysis of the effect of a stress raiser on the strength of a UD flax/epoxy composite in off-axis tension, Journal of Composite Materials, 49(9) (2015) 1071–1080.
[14] P. Weißgraeber, J. Felger, D. Geipel, W. Becker, Cracks at elliptical holes: Stress intensity factor and Finite Fracture Mechanics solution, European Journal of Mechanics - A/Solids, 55(1) (2016) 192–198.
[15] F.T. Ibáñez-Gutiérrez, S. Cicero, Fracture assessment of notched short glass fibre reinforced polyamide 6: An approach from failure assessment diagrams and the theory of critical distances, Composites Part B: Engineering, 111(10) (2017) 124–133.
[16] D. Taylor, The Theory of Critical Distances: A link to micromechanisms, Theoretical and Applied Fracture Mechanics, 90 (2017) 228–233.
[17] M.M. Moure, J. Herrero-Cuenca, S.K. García-Castillo, E. Barbero, Design tool to predict the open-hole failure strength of composite laminates subjected to in-plane loads, Composite Structures, 238 (2020) 111970.
[18] A. Dixit, H.S. Mali, MODELING TECHNIQUES FOR PREDICTING THE MECHANICAL PROPERTIES OF WOVEN-FABRIC TEXTILE COMPOSITES A REVIEW, Mechanics of Composite Materials, 49 (2013) 1–20.
[19] J.J. Crookston, A.C. Long, I.A. Jones, A summary review of mechanical properties prediction methods for textile reinforced polymer composites, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 219(2) (2005) 91–109.
[20] P. Tan, L. Tong, G.P. Steven, Modelling for predicting the mechanical properties of textile composites—A review, Composites Part A: Applied Science and Manufacturing, 28(11) (1997) 903–922.
[21] A. Tabiei, Y. Jiang, Woven fabric composite material model with material nonlinearity for nonlinear finite element simulation, International Journal of Solids and Structures, 36 (1999) 2757-2751.
[22] P. Rupnowski, M. Kumosa, Meso- and micro-stress analyses in an 8HS graphite/polyimide woven composite subjected to biaxial in-plane loads at room temperature, Composites Science and Technology, 63(6) (2003) 785–799.
[23] S. Kim, C. Lee, H. Shin, L. Tong, Virtual experimental characterization of 3D orthogonal woven composite materials, in:  19th AIAA Applied Aerodynamics Conference, 2013, pp. 1570.
[24] H. Lin, M.J. Clifford, A.C. Long, K. Lee, N. Guo, A finite element approach to the modelling of fabric mechanics and its application to virtual fabric design and testing, Journal of the Textile Institute, 103(10) (2012) 1063–1076.
[25] Woven Composites, Imperial College Press, 2015.
[26] S.A. Tabatabaei, S.V. Lomov, I. Verpoest, Assessment of embedded element technique in meso-FE modelling of fibre reinforced composites, Composite Structures, 107 (2014) 436–446.
[27] C. Fagiano, E. Baranger, P. Ladeveze, M. Genet, Computational strategy for the mesoscale modeling of thermostructural woven composites, ECCM 2012 - Composites at Venice, Proceedings of the 15th European Conference on Composite Materials,  (2012).
[28] N.-Z. Chen, C. Guedes Soares, Spectral stochastic finite element analysis for laminated composite plates, Computer Methods in Applied Mechanics and Engineering, 197(51-52) (2008) 4830–4839.
[29] J.R.M. Fazilat H. Dar, Richard M. Aspden, Statistical methods in finite element analysis, Journal of Biomechanics, 35 (2002) 1155–1161.
[30] G. Stefanou, D. Savvas, M. Papadrakakis, Stochastic finite element analysis of composite structures based on material microstructure, Composite Structures, 132(9) (2015) 384–392.
[31] M. Ibrahim, effect of notch size on reliability of composit laminates based on SFEM and experimental investigation, Concordia University, 2005.
[32] L. S.G., Anisotropic Plates, Gordon and Breach Science Publishers, 1984.
[33] S.D. Pandita, K. Nishiyabu, I. Verpoest, Strain concentrations in woven fabric composites with holes, Composite Structures, 59(3) (2003) 361–368.
[34] C.C. Chamis, Simplified composite micromechanics equations for strength, fracture toughness and environmental effects, SAMPE Quarterly, 15 (1984).
[35] J. Aboudi, S.M. Arnold, B.A. Bednarcyk, Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach, in, Elsevier, 2013.
[36] R. Hill, Elastic properties of reinforced solids: some theoretical principles, J. Mech. Phys. Solids, 11 (1963) 357–372.
[37] R. Younes, A. Hallal, F. Fardoun, F. Hajj, Comparative Review Study on Elastic Properties Modeling for Unidirectional Composite Materials, in: N. Hu (Ed.) Composites and Their Properties, InTech, 2012.
[38] C. C.C., Mechanics of Composite Materials Past, Present and Future, Journal of Composites Technology and Research, (11) (1989) 3–14.
[39] C.T. Herakovich, Mechanics of fibrous composites, John Wiley and Sons, Inc, 1998.
[40] A. Kemp, An Extension of Peirce's Cloth Geometry to the Treatment of Non-circular Threads, Journal of the Textile Institute Transactions, 49(1) (1958) T44-T48.
AUT Journal of Mechanical Engineering
Volume 8, Issue 4
December 2024
Pages 351-372

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