Modes of failure in disordered solids

Roy, Subhadeep; Biswas, Soumyajyoti; Ray, Purusattam

doi:10.1103/physreve.96.063003

Cited by 39 publications

(59 citation statements)

References 62 publications

(82 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…5. This is reminiscent of some failure modes investigated using fiber bundle models [45], where however the range of stress redistribution is an imposed parameter instead of an emerging structure property.…”

mentioning

confidence: 91%

Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness

2020

View full text Add to dashboard Cite

By performing extensive simulations with unprecedentedly large system sizes, we unveil how rigidity influences the fracture of disordered materials. The largest damage is observed close to rigidity points when the rupture thresholds are small. Fewer bonds are broken when the thresholds are increased. Irrespectively of network and spring properties, a more brittle fracture is observed upon increasing system size, even in sub-isostatic networks where the underlying force chains govern the mechanical response. Most of the fracture descriptors show power-law size-scaling dependent on rigidity properties. Strikingly, the maximum stress drop, a proxy for brittleness, displays a universal doubly-non-monotonic dependence on system size and can be used as a novel parameter to identify different failure regimes. Our results indicate how to tune these regimes. Finally, we speculate how the size-induced brittleness is influenced by thermal fluctuations. arXiv:1907.11466v1 [cond-mat.soft]

show abstract

mentioning

confidence: 91%

Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness

2020

View full text Add to dashboard Cite

show abstract

“…A recent study [49] has already described the effect of disorder with local stress concentration. In this paper we will mainly focus on the role of heterogeneity in stress increment, while the disorder width is kept constant by chosing δ = 0.5 (the threshold strength values are chosen randomly in between 0 and 1).…”

Section: System Size Effect Of Critical Stressmentioning

confidence: 99%

Fiber Bundle Model Under Heterogeneous Loading

Roy

Goswami

2018

J Stat Phys

Self Cite

View full text Add to dashboard Cite

The present work deals with the behavior of fiber bundle model under heterogeneous loading condition. The model is explored both in the mean-field limit as well as with local stress concentration. In the mean field limit, the failure abruptness decreases with increasing order k of heterogeneous loading. In this limit, a brittle to quasi-brittle transition is observed at a particular strength of disorder which changes with k. On the other hand, the model is hardly affected by such heterogeneity in the limit where local stress concentration plays a crucial role. The continuous limit of the heterogeneous loading is also studied and discussed in this paper. Some of the important results related to fiber bundle model are reviewed and their responses to our new scheme of heterogeneous loading are studied in details. Our findings are universal with respect to the nature of the threshold distribution adopted to assign strength to an individual fiber.

show abstract

“…Motivated by these recent findings, here our goal is to investigate the statistics of crackling noise in the limiting case of extremely high disorder. The fiber bundle model (FBM) provides an adequate framework [26][27][28][29][30][31][32] * Corresponding author: ferenc.kun@science.unideb.hu to study the statistics of breaking avalanches allowing for a simple way to control the degree of disorder [31,[33][34][35][36][37]. In FBMs the sample is discretized in terms of parallel fibers where controlling the mechanical response, strength and interaction of fibers various types of materials' behaviours can be captured.…”

Section: Introductionmentioning

confidence: 99%

System-size-dependent avalanche statistics in the limit of high disorder

Kádár

Kun

2019

Phys. Rev. E

View full text Add to dashboard Cite

We investigate the effect of the amount of disorder on the statistics of breaking bursts during the quasi-static fracture of heterogeneous materials. We consider a fiber bundle model where the strength of single fibers is sampled from a power law distribution over a finite range, so that the amount of materials' disorder can be controlled by varying the power law exponent and the upper cutoff of fibers' strength. Analytical calculations and computer simulations, performed in the limit of equal load sharing, revealed that depending on the disorder parameters the mechanical response of the bundle is either perfectly brittle where the first fiber breaking triggers a catastrophic avalanche, or it is quasi-brittle where macroscopic failure is preceded by a sequence of bursts. In the quasibrittle phase, the statistics of avalanche sizes is found to show a high degree of complexity. In particular, we demonstrate that the functional form of the size distribution of bursts depends on the system size: for large upper cutoffs of fibers' strength, in small systems the sequence of bursts has a high degree of stationarity characterized by a power law size distribution with a universal exponent. However, for sufficiently large bundles the breaking process accelerates towards the critical point of failure which gives rise to a crossover between two power laws. The transition between the two regimes occurs at a characteristic system size which depends on the disorder parameters.

show abstract

Modes of failure in disordered solids

Cited by 39 publications

References 62 publications

Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness

Athermal Fracture of Elastic Networks: How Rigidity Challenges the Unavoidable Size-Induced Brittleness

Fiber Bundle Model Under Heterogeneous Loading

System-size-dependent avalanche statistics in the limit of high disorder

Contact Info

Product

Resources

About