Failure processes in elastic fiber bundles

S Pradhan, A Hansen, BK Chakrabarti - Reviews of modern physics, 2010 - APS
The fiber bundle model describes a collection of elastic fibers under load. The fibers fail
successively and, for each failure, the load distribution among the surviving fibers changes …

Fiber bundle model for multiscale modeling of hydromechanical triggering of shallow landslides

D Cohen, P Lehmann, D Or - Water resources research, 2009 - Wiley Online Library
Sudden and rapid mass movements associated with landslides and snow avalanches
present a hazard to life and infrastructure, yet their predictions and triggering mechanisms …

Time-dependent fiber bundles with local load sharing. II. General Weibull fibers

SL Phoenix, WI Newman - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Fiber bundle models (FBMs) are useful tools in understanding failure processes in a variety
of material systems. While the fibers and load sharing assumptions are easily described …

Avalanche dynamics of fiber bundle models

RC Hidalgo, F Kun, K Kovács, I Pagonabarraga - Physical Review E …, 2009 - APS
We present a detailed analytical and numerical study of the avalanche distributions of the
continuous damage fiber bundle model (CDFBM). Linearly elastic fibers undergo a series of …

Universality class of fiber bundles with strong heterogeneities

RC Hidalgo, K Kovács, I Pagonabarraga… - Europhysics …, 2008 - iopscience.iop.org
We study the effect of strong heterogeneities on the fracture of disordered materials using a
fiber bundle model. The bundle is composed of two subsets of fibers, ie a fraction 0⩽ α⩽ 1 of …

Continuous damage fiber bundle model for strongly disordered materials

F Raischel, F Kun, HJ Herrmann - … Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
We present an extension of the continuous damage fiber bundle model to describe the
gradual degradation of highly heterogeneous materials under an increasing external load …

Avalanche scaling law for heterogeneous interfacial fracture

J Fu, W Du, H Hou, X Zhao - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
A new approach is proposed to study the statistical law of avalanches due to the fracture of a
heterogeneous interface. Firstly, a discrete interface is considered as a bundle of fibers …

Random fiber bundle with many discontinuities in the threshold distribution

U Divakaran, A Dutta - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
We study the breakdown of a random fiber bundle model (RFBM) with n discontinuities in
the threshold distribution using the global load sharing scheme. In other words, n+ 1 …

The avalanche process of the fiber bundle model with defect in local loading sharing

DP Hao, G Tang, ZP Xun, H Xia, K Han - Physica A: Statistical Mechanics …, 2018 - Elsevier
The fiber bundle model with defect is an extended model based on the classical fiber bundle
model to describe the impact of the defect size and the defect density on the failure process …

Simulation of finite size effects of the fiber bundle model

DP Hao, G Tang, ZP Xun, H Xia, K Han - Physica A: Statistical Mechanics …, 2018 - Elsevier
In theory, the macroscopic fracture of materials should correspond with the thermodynamic
limit of the fiber bundle model. However, the simulation of a fiber bundle model with an …