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

2013 ◽  
Vol 36 (1) ◽  
pp. 3-7 ◽  
Author(s):  
A. Hader ◽  
Y. Boughaleb ◽  
I. Achik ◽  
K. Sbiaai
Keyword(s):  
Composite Materials ◽  
Fiber Bundle ◽  
Load Sharing ◽  
Scaling Behavior ◽  
Local Load ◽  
Sharing Rule ◽  
Fiber Bundle Model ◽  
Failure Kinetic

Scaling law in avalanche breaking of composite materials

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ahmed Hader ◽  
Hicham Sbiaai ◽  
Mohammed Tanasehte ◽  
Layla Amallah ◽  
Yahia Boughaleb
Keyword(s):  
Composite Materials ◽  
External Load ◽  
Fiber Bundle ◽  
Applied Load ◽  
Scaling Law ◽  
Load Sharing ◽  
Local Load ◽  
Vicsek Model ◽  
Content Type ◽  
Fiber Bundle Model

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.

scholarly journals Local load-sharing fiber bundle model in higher dimensions

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Santanu Sinha ◽  
Jonas T. Kjellstadli ◽  
Alex Hansen
Keyword(s):  
Fiber Bundle ◽  
Load Sharing ◽  
Higher Dimensions ◽  
Local Load ◽  
Fiber Bundle Model

scholarly journals Size Distribution of Emitted Energies in Local Load Sharing Fiber Bundles

2021 ◽  
Vol 9 ◽  
Author(s):  
Subhadeep Roy ◽  
Soumyajyoti Biswas
Keyword(s):  
Size Distribution ◽  
Power Law ◽  
Linear Relation ◽  
Fiber Bundle ◽  
Average Energy ◽  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles ◽  
Avalanche Size ◽  
Fiber Bundle Model

We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size (s) and the corresponding average energy burst (〈E〉) in this version of the model have a non-linear relation (〈E〉 ~ sγ). Numerical results indicate that γ ≈ 2.5 universally for different failure threshold distributions. With this numerical observation, it is then possible to show that the energy burst distribution is a power law, with a universal exponent value of −(γ + 1).

Characterization of the failure process in composite materials by the Fiber Bundle Model

2014 ◽  
Vol 71 ◽  
pp. 30-37 ◽  
Author(s):  
A. Hader ◽  
I. Achik ◽  
A. Lahyani ◽  
K. Sbiaai ◽  
Y. Boughaleb
Keyword(s):  
Composite Materials ◽  
Fiber Bundle ◽  
Failure Process ◽  
Fiber Bundle Model

scholarly journals FIBERS ON A GRAPH WITH LOCAL LOAD SHARING

2007 ◽  
Vol 18 (06) ◽  
pp. 919-926 ◽  
Author(s):  
UMA DIVAKARAN ◽  
AMIT DUTTA
Keyword(s):  
Critical Behavior ◽  
Mean Field ◽  
Finite Size ◽  
Load Sharing ◽  
Local Load ◽  
Finite Size Scaling ◽  
Scaling Method ◽  
Avalanche Size ◽  
Fiber Bundle Model ◽  
The Mean

We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical behavior of the model numerically using a finite size scaling method and the mean field critical behavior is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.

scholarly journals Criterion for Imminent Failure During Loading—Discrete Element Method Analysis

2021 ◽  
Vol 9 ◽  
Author(s):  
Wojciech Dȩbski ◽  
Srutarshi Pradhan ◽  
Alex Hansen
Keyword(s):  
Discrete Element Method ◽  
Elastic Energy ◽  
Fiber Bundle ◽  
Load Sharing ◽  
Discrete Element ◽  
Rate Of Change ◽  
Change Rate ◽  
Fiber Bundle Model ◽  
Method Analysis ◽  
Element Method

It has recently been reported that the equal load sharing fiber bundle model predicts the rate of change of the elastic energy stored in the bundle reaches its maximum before catastrophic failure occurs, making it a possible predictor for imminent collapse. The equal load sharing fiber bundle model does not contain central mechanisms that often play an important role in failure processes, such as localization. Thus, there is an obvious question whether a similar phenomenon is observed in more realistic systems. We address this question using the discrete element method to simulate breaking of a thin tissue subjected to a stretching load. Our simulations confirm that for a class of virtual materials which respond to stretching with a well-pronounced peak in force, its derivative and elastic energy we always observe an existence of the maximum of the elastic energy change rate prior to maximum loading force. Moreover, we find that the amount of energy released at failure is related to the maximum of the elastic energy absorption rate.

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