Journal of Applied and Computational Mechanics
Size Effect on Inclined Cracking in Unidirectional Composites
Document Type : Research Paper
Author
Department of Civil Engineering, Istanbul Technical University, Maslak, Istanbul, 34469, Turkey
Abstract
The fracture and size effect properties of the unidirectional (UD) laminae were investigated based on the fracture energy analysis. The crack propagations on inclined fiber orientation may result in different energy release mechanisms. Therefore, the size effect behavior of these types of failures may vary according to the fracture parameters of the UD composites. This study aims to develop a fracture analysis of UD plies with inclined fibers relative to the loading axis. A numerical work with a developed material model was conducted to predict the size effect trends. The size effect law was used to fit the strength reduction with increasing size. The fundamentals of the quasibrittle fracture mechanics are shown to be applicable to analyze these types of structures. It is shown that the composite structures as quasibrittle materials, can exhibit a significant size effect.
Keywords
Main Subjects
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[1] Arridge, R.G.C., Fracture of Fibre Reinforced Materials, Nature, 223, 1969, 941–943.
[2] Wang, Y., Chen, D., Li, N., Yuan, H., Zhu, Z., Li, Y., Huang, Z., A Micromechanics Based Elasto-Plastic Damage Model for Unidirectional Composites under off-Axis Tensile Loads, Nature Research, Scientific Reports, 10, 2020, 847.
[3] Anguita, J. V., Smith, C.T.G., Stute, T., Funke, M., Delkowski, M., Silva, S.R.P., Dimensionally and Environmentally Ultra-Stable Polymer Composites Reinforced with Carbon Fibres, Nature Materials, 19, 2020, 317–322.
[4] Bažant, Z.P., Planas, J., Fracture and size effect in concrete and other quasibrittle materials, Boca Raton, Boston, London: CRC press, 1997.
[5] Dönmez, A., Bažant, Z.P., Size Effect on Branched Sideways Cracks in Orthotropic Fiber Composites, International Journal of Fracture, 222, 2020, 155–169.
[6] Salviato, M., Kirane, K., Ashari, S., Bažant, Z.P., Cusatis, G., Experimental and Numerical Investigation of Intra-Laminar Energy Dissipation and Size Effect in Two-Dimensional Textile Composites, Composites Science and Technology, 135, 2016, 67–75.
[7] Salviato, M., Kirane, K., Bažant, Z.P., Cusatis, G., Mode I and II Interlaminar Fracture in Laminated Composites: A Size Effect Study, Journal of Applied Mechanics, 86, 2019, 9.
[8] Bažant, Z.P., Daniel, I.M., Li, Z., Size Effect and Fracture Characteristics of Composite Laminates, Journal of Engineering Materials and Technology, Transactions of the ASME, 118(3), 1996, 317–324.
[9] Griffith, A.A., VI. The Phenomena of Rupture and Flow in Solids, Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, 221(582–593), 1921, 163–198.
[10] Irwin, G.R., Onset of Fast Crack Propagation in High Strenght Steel and Aluminum Alloys, Naval Research Laboratory, 4763, 1956, 1–15.
[11] Dönmez, A., Bažant, Z.P., Critique of Critical Shear Crack Theory for Fib Model Code Articles on Shear Strength and Size Effect of Reinforced Concrete Beams, Structural Concrete, 2019, 20(4), 1451–1463.
[12] Bažant, Z.P., Oh, B.H., Crack Band Theory for Fracture of Concrete, Matériaux et Construction, 16(3), 1983, 155–177.
[13] Bažant, Z.P., Lin, F.B., Nonlocal Smeared Cracking Model for Concrete Fracture, Journal of Structural Engineering, 114(11), 1988, 2493–2510.
[14] Barenblatt, G.I., The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Advances in Applied Mechanics, 7(1), 1962, 55–129.
[15] Hillerborg, A., Modéer, M., Petersson, P., Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements, Cement and Concrete Research, 6(6), 1976, 773–781.
[16] Noselli, G., Deshpande, V.S., Fleck, N.A., An Analysis of Competing Toughening Mechanisms in Layered and Particulate Solids, International Journal of Fracture, 183(2), 2013, 241–258.
[17] Tankasala, H.C., Deshpande, V.S., Fleck, N.A., Notch Sensitivity of Orthotropic Solids: Interaction of Tensile and Shear Damage Zones, International Journal of Fracture, 212(2), 2018, 123–142.
[18] Pineda, E.J., Waas, A.M., Numerical Implementation of a Multiple-ISV Thermodynamically-Based Work Potential Theory for Modeling Progressive Damage and Failure in Fiber-Reinforced Laminates, International Journal of Fracture, 182(1), 2013, 93–122.
[19] Rudraraju, S., Salvi, A., Garikipati, K., Waas, A., In-Plane Fracture of Laminated Fiber Reinforced Composites with Varying Fracture Resistance: Experimental Observations and Numerical Crack Propagation, International Journal of Solids and Structures, 47(7–8), 2010, 901–911.
[20] Xu, W., Thorsson, S.I., Waas, A.M., Experimental and Numerical Study on Cross-Ply Woven Textile Composite with Notches and Cracks, Composite Structures, 132, 2015, 816–824.
[21] Pathan, M.V., Ponnusami, S.A., Pathan, J., Pitisongsawat, R., Erice, B., Petrinic, N., Tagarielli, V.L., Predictions of the Mechanical Properties of Unidirectional Fibre Composites by Supervised Machine Learning, Scientific Reports, 9, 2019, 13964.
[22] Abdulaliyev, Z., Ataoglu, S., Dönmez, A., Stress State of Pretensioned Structures, Journal of Testing and Evaluation, 48(5), 2020, 3768-3778.
[23] Donmez, A., Ataoglu, S., Abdulaliyev, Z., An Experimental Study on Pre-Tensioned Concrete Members, in 6th International Conference on Advances in Structural Engineering and Construction Management, 2015, 41–46.
[24] Hill, R., Theory of Mechanical Properties of Fibre-Strengthened Materials—III. Self-Consistent Model, Journal of the Mechanics and Physics of Solids, 13(4), 1965, 189–198.
[25] Hashin, Z., On Elastic Behaviour of Fibre Reinforced Materials of Arbitrary Transverse Phase Geometry, Journal of the Mechanics and Physics of Solids, 13(3), 1965, 119–134.
[26] Christensen, R.M., Lo, K.H., Solutions for Effective Shear Properties in Three Phase Sphere and Cylinder Models, Journal of the Mechanics and Physics of Solids, 27(4), 1979, 315–330.
[27] Huang, Z., Zhou, Y., Strength of Fibrous Composites, Hangzhou: Zhejiang University Press, Springer, 2011.
[28] Matzenmiller, A., Lubliner, J., Taylor, R.L., A Constitutive Model for Anisotropic Damage in Fiber-Composites, Mechanics of Materials, 20(2), 1995, 125–152.
[29] Hashin, Z., Failure Criteria for Unidirectional Fiber Composites 1, Journal of Applied Mechanics, 47(2), 1980, 329–334.
[30] Zhao, Y.Q., Zhou, Y., Huang, Z.M., Batra, R.C., Experimental and Micromechanical Investigation of T300/7901 Unidirectional Composite Strength, Polymer Composites, 40(7), 2019, 2639–2652.
[31] Catalanotti, G., Arteiro, A., Hayati, M., Camanho, P.P., Determination of the Mode I Crack Resistance Curve of Polymer Composites Using the Size-Effect Law, Engineering Fracture Mechanics, 118, 2014, 49–65.
[32] Woo, S.C., Choi, N.S., Analysis of Fracture Process in Single-Edge-Notched Laminated Composites Based on the High Amplitude Acoustic Emission Events, Composites Science and Technology, 67(7–8), 2007, 1451–1458.
[33] Kaman, M.O., Effect of Fiber Orientation on Fracture Toughness of Laminated Composite Plates [0°/θ°]S, Engineering Fracture Mechanics, 78(13), 2011, 2521–2534.
[34] Beuth Jr., J.L., Gregory, M.A., Herakovich, C.T., Crack Growth in Unidirectional Graphite-Epoxy under Biaxial Loading, Experimental Mechanics, 26, 1986, 245–253.
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