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**Mechanics of hybrid polymer composites: analytical and computational study.**
*(English)*
Zbl 1382.74035

Summary: Three different models with increased complexity to study the effects of hybridization on the tensile failure of hybrid composites are proposed. The first model is a model for dry bundles of fibres based on the statistics of fibre strength. The second is a model for composite materials based on the multiple fragmentation phenomenon. Lastly, a micromechanical numerical model is developed that considers a random distribution of fibres and takes into account the stochastic nature of fibre strength. This study aims to understand the controlling factors that lead to pseudo-ductility, as well as establish the sequence of failure mechanisms in hybrid composites under tensile loadings.

### MSC:

74E30 | Composite and mixture properties |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

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\textit{R. P. Tavares} et al., Comput. Mech. 57, No. 3, 405--421 (2016; Zbl 1382.74035)

### References:

[1] | Arteiro, A; Catalanotti, G; Melro, A; Linde, P; Camanho, P, Micro-mechanical analysis of the in situ effect in polymer composite laminates, Compos Struct, 116, 827-840, (2014) |

[2] | Bažant, Z; Oh, B, Crack band theory for fracture of concrete, Matériaux et Construction, 16, 155-177, (1983) |

[3] | Benzeggagh, M; Kenane, M, Measurement of mixed-mode delamination fracture toughness of unidirectional Glass/epoxy composites with mixed-mode bending apparatus, Compos Sci Technol, 56, 439-449, (1996) |

[4] | Curtin, W, Exact theory of fibre fragmentation in a single-filament composite, J Mater Sci, 26, 5239-5253, (1991) |

[5] | Curtin, WA; Takeda, N, Tensile strength of fiber-reinforced composites: II. application to polymer matrix composites, J Compos Mater, 32, 2060-2081, (1998) |

[6] | Fiedler, B; Hojo, M; Ochiai, S; Schulte, K; Ando, M, Failure behavior of an epoxy matrix under different kinds of static loading, Compos Sci Technol, 61, 1615-1624, (2001) |

[7] | Foray, G; Descamps-Mandine, A; R’Mili, M; Lamon, J, Statistical flaw strength distributions for Glass fibres: correlation between bundle test and afm-derived flaw size density functions, Acta Mater, 60, 3711-3718, (2012) |

[8] | Fukuda, H, An advanced theory of the strength of hybrid composites, J Mater Sci, 19, 974-982, (1984) |

[9] | Ibnabdeljalil, M; Curtin, W, Strength and reliability of fiber-reinforced composites: localized load-sharing and associated size effects, Int J Solids Struct, 34, 2649-2668, (1997) · Zbl 0942.74513 |

[10] | Jr, LM; Dai, G, Hybrid carbon/Glass fiber composites: micromechanical analysis of structure-damage resistance relationships, Comput Mater Sci, 81, 630-640, (2014) |

[11] | Kelly, A; Tyson, W, Tensile properties of fibre-reinforced metals: copper/tungsten and copper/molybdenum, J Mech Phys Solids, 13, 329-350, (1965) |

[12] | Martínez X (2008) Micro-mechanical simulation of composite materials using the serial/parallel mixing theory. PhD thesis, Departament de Resistència de Materials i Estructures a l’Enginyeria (RMEE)-UPC. Director: Sergio Oller |

[13] | Melro, A; Camanho, P; Pinho, S, Generation of random distribution of fibres in long-fibre reinforced composites, Compos Sci Technol, 68, 2092-2102, (2008) |

[14] | Melro, A; Camanho, P; Pires, FA; Pinho, S, Micromechanical analysis of polymer composites reinforced by unidirectional fibres: part I—constitutive modelling, Int J Solids Struct, 50, 1897-1905, (2013) |

[15] | Melro, A; Camanho, P; Pires, FA; Pinho, S, Micromechanical analysis of polymer composites reinforced by unidirectional fibres: part II—micromechanical analyses, Int J Solids Struct, 50, 1906-1915, (2013) |

[16] | Rajan, VP; Curtin, WA, Rational design of fiber-reinforced hybrid composites: a global load sharing analysis, Compos Sci Technol, 117, 199-207, (2015) |

[17] | Scott, A; Sinclair, I; Spearing, S; Thionnet, A; Bunsell, A, Damage accumulation in a carbon/epoxy composite: comparison between a multiscale model and computed tomography experimental results, Compos A, 43, 1514-1522, (2012) |

[18] | Scott A, Sinclair I, Spearing S, Thionnet A, Bunsell A (2012) Damage accumulation in a carbon/epoxy composite: comparison between a multiscale model and computed tomography experimental results. Compos A 43(9):1514-1522. doi:10.1016/j.compositesa.2012.03.011 |

[19] | Simulia DS (2012) Abaqus 6.12 documentation. Providence, Rhode Island, US |

[20] | Soden, P; Hinton, M; Kaddour, A, Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates, Compos Sci Technol, 58, 1011-1022, (1998) |

[21] | Swolfs, Y; Gorbatikh, L; Verpoest, I, Fibre hybridisation in polymer composites: a review, Compos A, 67, 181-200, (2014) |

[22] | Swolfs, Y; McMeeking, R; Rajan, V; Zok, F; Verpoest, I; Gorbatikh, L, Global load-sharing model for unidirectional hybrid fibre-reinforced composites, J Mech Phys Solids, 84, 380-394, (2015) |

[23] | Swolfs, Y; McMeeking, RM; Verpoest, I; Gorbatikh, L, The effect of fibre dispersion on initial failure strain and cluster development in unidirectional carbon/Glass hybrid composites, Compos A, 69, 279-287, (2015) |

[24] | Swolfs, Y; Morton, H; Scott, A; Gorbatikh, L; Reed, P; Sinclair, I; Spearing, S; Verpoest, I, Synchrotron radiation computed tomography for experimental validation of a tensile strength model for unidirectional fibre-reinforced composites, Compos A, 77, 106-113, (2015) |

[25] | Tanaka, F; Okabe, T; Okuda, H; Kinloch, IA; Young, RJ, Factors controlling the strength of carbon fibres in tension, Compos A, 57, 88-94, (2014) |

[26] | Turon, A; Costa, J; Maimí, P; Trias, D; Mayugo, J, A progressive damage model for unidirectional fibre-reinforced composites based on fibre fragmentation. part I: formulation, Compos Sci Technol, 65, 2039-2048, (2005) |

[27] | Varna, J; Berglund, L; Ericson, M, Transverse single-fibre test for interfacial debonding in composites: 2. modelling, Compos A, 28, 317-326, (1997) |

[28] | Weibull, W, A statistical distribution function of wide applicability, J Appl Mech Trans ASME, 58, 1001-1010, (1951) |

[29] | Zweben, C, Tensile strength of hybrid composites, J Mater Sci, 12, 1325-1337, (1977) |

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