Failure kinetic and scaling behavior of the composite materials: Fiber Bundle Model with the local load-sharing rule (LLS)

Hader, A.; Boughaleb, Y.; Achik, I.; Sbiaai, K.

doi:10.1016/j.optmat.2013.07.035

Cited by 15 publications

(14 citation statements)

References 23 publications

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“…true(0<f/fc<0.65true) can't totally break the system, and we have found that despite the increase in load, the saturated broken fraction increases, but doesn't reach the value 1 , which confirms that the inclined fibers resist the external load. In contrary, for the classical FBM model with parallel fibers, the broken fraction tends to the value 1 and the system cracks totally (Sbiaai et al , 2017; Hader et al , 2014a; Sbiaai et al , 2019).…”

Section: Resultsmentioning

confidence: 90%

“…The failure process in the heterogeneous materials is characterized by an avalanche breaking (Hader et al , 2014a; Tanasehte et al , 2020); these investigations are done for a classical model with parallel fibers. In order to study the kinetic avalanche breaking for the bundle of fibers randomly oriented, we have calculated the time evolution of the fraction of broken fibers ρb=Nb/N0 where Nb represents the number of broken fibers (Sbiaai et al , 2017).…”

Section: Resultsmentioning

confidence: 99%

“…In this context several experiment researches were performed (Liebowitz, 1984; Anifrani et al , 1995; Guarino et al , 2002). The acoustic emission is one of the most used experimental nondestructive techniques to detect failure during creep experiment; creep is the progressive deformation of a material under external load (Hader et al , 2014a). An interesting study of the viscoelastic FBM was performed by Nechad and al (Nechad et al , 2005a, b), where the model was further improved considering a more realistic time-dependent response of single fibers instead of Kelvin–Voigt elements (Nechad et al , 2005a).…”

Section: Introductionmentioning

confidence: 99%

“…The above described procedure is repeated until the system completely fails. We take into account that the difference between the two models disappears with increasing dimensions and always keeping the characteristics of a power law (Sbiaai et al , 2017; Hader et al , 2014a).…”

Section: Introductionmentioning

confidence: 99%

“…In addition, comparing to other model, in this model, many parameters should be calculated. For example, some quantities may be calculated analytically, but others may not (Sbiaai et al , 2017; Hader et al , 2014a).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Scaling law in avalanche breaking of composite materials

Hader¹,

Sbiaai²,

Tanasehte³

et al. 2020

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PurposeThe fibers are loaded by the cosine component of the external load, when a fiber fails, and due to the local load-sharing nature, its force is shared by surviving neighboring fibers. The results show that the system presents a greater resistance and toughness toward the applied load compared to the classical one.Design/methodology/approachIn this paper, the authors adopt the dynamics of a local load-sharing fiber bundle model in two dimensions under an external load to study scaling law in failure process of composite materials with randomly oriented fibers. The model is based on the fiber bundle model where the fibers are randomly oriented. The system is different to the classical one where the fibers are arranged in parallel with the applied load direction.FindingsThe evolution time of the fraction of broken fiber is described by an exponential law with two characteristic times. The latter decrease linearly and exponentially respectively with both applied load and temperature.Originality/valueScaling behavior of the broken fiber numbers with the size system shows that the system exhibits a scaling law of Family–Vicsek model with universal exponents.

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