The study of elastic energy in composite materials with fiber bundle model

Tanasehte, M.; Hader, A.; Elkhal, M.; Hariti, Yassine; Sbiaai, H.; Boughaleb, Y.

doi:10.1016/j.matpr.2020.04.351

Cited by 7 publications

(3 citation statements)

References 18 publications

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“…0≺t1≺te and te≺t2≺tf where tf is the lifetime of materials and te is the cross-over time when the avalanche breaking changes its acceleration during the failure process (Sbiaai et al , 2019; Hader et al , 2014b; Tanasehte et al , 2020a, b). Eqn (6) remains valid for each value in the used range of applied load and temperature.…”

Section: Resultsmentioning

confidence: 99%

“…For the first regime TrTc≈0.06 and for the second regime TrTc≈0.05 These results prove the same behavior as the applied load of the two interval time regimes because the quasi-static effect of the temperature completes the dynamic effect of the external applied load to the system. Moreover, to check the effect of the system size on the failure process, simulation has been performed by varying the material size L under boundary cyclic conditions (Sbiaai et al , 2017; Hader et al , 2016; Sbiaai et al , 2019; Hader et al , 2014b; Tanasehte et al , 2020a, b) . The corresponding results are plotted in Figure 5.…”

Section: Resultsmentioning

confidence: 99%

“…With increasing the temperature, the lifetime of the system changes (Sbiaai et al , 2017; Sbiaai et al , 2019; Hader et al , 2014b; Tanasehte et al , 2020a, b) and the actual total length x of each fiber is written as:…”

Section: Fiber Bundle Model With Randomly Oriented Fibersmentioning

confidence: 99%

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Scaling law in avalanche breaking of composite materials

Hader¹,

Sbiaai²,

Tanasehte³

et al. 2020

MMMS

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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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