Hierarchical composites: Analysis of damage evolution based on fiber bundle model

2011 ◽  
Vol 71 (4) ◽  
pp. 450-460 ◽  
Author(s):  
Leon Mishnaevsky Jr.
Keyword(s):  
Fiber Bundle ◽  
Damage Evolution ◽  
Fiber Bundle Model ◽  
Hierarchical Composites

Representing stochastic damage evolution in disordered media as a jump Markov process using the fiber bundle model

2016 ◽  
Vol 26 (1) ◽  
pp. 147-161 ◽  
Author(s):  
Sohan Kale ◽  
Martin Ostoja–Starzewski
Keyword(s):  
Markov Process ◽  
Fiber Bundle ◽  
Damage Evolution ◽  
Probability Distributions ◽  
Failure Process ◽  
Lattice Models ◽  
Disordered Media ◽  
Jump Markov Process ◽  
Fiber Bundle Model ◽  
Stochastic Damage

The damage evolution in quasi-brittle materials is inherently stochastic due to the presence of strong disorder in the form of heterogeneities, voids, and microcracks. The final macroscopic failure is foreshadowed by accumulation of a significant amount of distributed damage that results in precursory events observed as avalanches in experiments and simulations. Simulations on spring lattice models of disordered media have been widely used to understand the collective nature of the quasi-brittle material failure process. In this study, we use the jump Markov process to model stochastic damage evolution, which is informed by the avalanche size distributions for a given material. The jump Markov process is defined based on the probability distributions of the jump sizes, the wait-time between consecutive jumps, and the failure strength. The fiber bundle model is used as an example to obtain the required inputs and test the viability of the proposed approach. The stochasticity and size-dependence of the damage evolution process is inherently captured through the inputs provided for the jump Markov process. The avalanche and strength distributions are used to describe the effect of microscopic information present in the form of disorder, on the macroscopic damage evolution behavior.

scholarly journals Modeling active fault systems and seismic events by using a fiber bundle model – example case: the Northridge aftershock sequence

Solid Earth ◽  
2019 ◽  
Vol 10 (5) ◽  
pp. 1519-1540
Author(s):  
Marisol Monterrubio-Velasco ◽  
F. Ramón Zúñiga ◽  
José Carlos Carrasco-Jiménez ◽  
Víctor Márquez-Ramírez ◽  
Josep de la Puente
Keyword(s):  
Fiber Bundle ◽  
Active Faults ◽  
Aftershock Sequence ◽  
Statistical Characteristics ◽  
Real Sequence ◽  
Random Load ◽  
Fault Systems ◽  
Aftershock Sequences ◽  
Fiber Bundle Model ◽  
Initial Load

Abstract. Earthquake aftershocks display spatiotemporal correlations arising from their self-organized critical behavior. Dynamic deterministic modeling of aftershock series is challenging to carry out due to both the physical complexity and uncertainties related to the different parameters which govern the system. Nevertheless, numerical simulations with the help of stochastic models such as the fiber bundle model (FBM) allow the use of an analog of the physical model that produces a statistical behavior with many similarities to real series. FBMs are simple discrete element models that can be characterized by using few parameters. In this work, the aim is to present a new model based on FBM that includes geometrical characteristics of fault systems. In our model, the faults are not described with typical geometric measures such as dip, strike, and slip, but they are incorporated as weak regions in the model domain that could increase the likelihood to generate earthquakes. In order to analyze the sensitivity of the model to input parameters, a parametric study is carried out. Our analysis focuses on aftershock statistics in space, time, and magnitude domains. Moreover, we analyzed the synthetic aftershock sequences properties assuming initial load configurations and suitable conditions to propagate the rupture. As an example case, we have modeled a set of real active faults related to the Northridge, California, earthquake sequence. We compare the simulation results to statistical characteristics from the Northridge sequence determining which range of parameters in our FBM version reproduces the main features observed in real aftershock series. From the results obtained, we observe that two parameters related to the initial load configuration are determinant in obtaining realistic seismicity characteristics: (1) parameter P, which represents the initial probability order, and (2) parameter π, which is the percentage of load distributed to the neighboring cells. The results show that in order to reproduce statistical characteristics of the real sequence, larger πfrac values (0.85<πfrac<0.95) and very low values of P (0.0<P≤0.08) are needed. This implies the important corollary that a very small departure from an initial random load configuration (computed by P), and also a large difference between the load transfer from on-fault segments than by off-faults (computed by πfrac), is required to initiate a rupture sequence which conforms to observed statistical properties such as the Gutenberg–Richter law, Omori law, and fractal dimension.

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

The Fiber Bundle Model

2014 ◽  
Author(s):  
Alex Hansen ◽  
Per C. Hemmer ◽  
Strutarshi Pradhan
Keyword(s):  
Fiber Bundle ◽  
Fiber Bundle Model

Influence of material heterogeneities on crack propagation statistics using a Fiber Bundle Model

2019 ◽  
Vol 221 (1) ◽  
pp. 87-100
Author(s):  
François Villette ◽  
Julien Baroth ◽  
Frédéric Dufour ◽  
Jean-Francis Bloch ◽  
Sabine Rolland Du Roscoat
Keyword(s):  
Crack Propagation ◽  
Fiber Bundle ◽  
Fiber Bundle Model

scholarly journals Fractal frontiers of bursts and cracks in a fiber bundle model of creep rupture

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
Zsuzsa Danku ◽  
Ferenc Kun ◽  
Hans J. Herrmann
Keyword(s):  
Fiber Bundle ◽  
Creep Rupture ◽  
Fiber Bundle Model

scholarly journals Slip avalanches in a fiber bundle model

2010 ◽  
Vol 89 (2) ◽  
pp. 26008 ◽  
Author(s):  
Z. Halász ◽  
F. Kun
Keyword(s):  
Fiber Bundle ◽  
Fiber Bundle Model
Sign in / Sign up

Export Citation Format

Share Document