Fiber Bundle Model Under Heterogeneous Loading

Roy, Subhadeep; Goswami, Sanchari

doi:10.1007/s10955-018-1966-4

Cited by 4 publications

(3 citation statements)

References 57 publications

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“…Then, the loads from the destroyed pillars are redistributed to the ones that remain intact. The ultimate strength of the system is dependent not only on the distribution of pillar-strength--thresholds [8,9], but also on the type of load transfer [10,11], loading conditions [12,13] and method of loading. Generally, the loading process can be divided into two methods: sudden loading and quasi-static loading.…”

Section: Introductionmentioning

confidence: 99%

Critical loading of pillar arrays having previously eliminated elements

Derda

2023

J. Appl. Math. Comput. Mech.

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The paper analyzes critical loads of pillar arrays with fraction of elements removed prior to actual critical loading. Two different methods of elimination are considered. In the first case, a fraction p of weakest pillars is physically removed from the array. The second method relies on conducting a subcritical preloading. When the sudden loading is applied to the system, the destruction follows in a cascade-like manner. Subsequent cascades take place due to the redistribution of load. We explore different types of load redistribution. It turns out that the type of load transfer as well as the distribution of pillar-strength-thresholds are of crucial importance regarding the strength enhancement of critically loaded pillar arrays.

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Section: Introductionmentioning

confidence: 99%

Critical loading of pillar arrays having previously eliminated elements

Derda

2023

J. Appl. Math. Comput. Mech.

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“…The local loads from these failing pillars are transferred to ones that remain intact. It turns out that the ultimate strength of the system crucially depends on how such a transfer happens [ 15 , 16 , 17 ], what the topology of interconnections among components is [ 18 ], what the loading conditions are [ 19 , 20 ], and whether the loading is applied step-wise, suddenly [ 21 ] or cyclically [ 22 , 23 ]. This means that a given ensemble of interconnected components, working together along with an established rule of load transfer between failed and intact components, may either sustain an externally applied load or become entirely destroyed if an unsuitable rule governs the load transfer or interconnections switch to unfavourable topology [ 18 , 24 ].…”

Section: Introductionmentioning

confidence: 99%

Survivability of Suddenly Loaded Arrays of Micropillars

Derda

Domański

2021

Materials

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When a multicomponent system is suddenly loaded, its capability of bearing the load depends not only on the strength of components but also on how a load released by a failed component is distributed among the remaining intact ones. Specifically, we consider an array of pillars which are located on a flat substrate and subjected to an impulsive and compressive load. Immediately after the loading, the pillars whose strengths are below the load magnitude crash. Then, loads released by these crashed pillars are transferred to and assimilated by the intact ones according to a load-sharing rule which reflects the mechanical properties of the pillars and the substrate. A sequence of bursts involving crashes and load transfers either destroys all the pillars or drives the array to a stable configuration when a smaller number of pillars sustain the applied load. By employing a fibre bundle model framework, we numerically study how the array integrity depends on sudden loading amplitudes, randomly distributed pillar strength thresholds and varying ranges of load transfer. Based on the simulation, we estimate the survivability of arrays of pillars defined as the probability of sustaining the applied load despite numerous damaged pillars. It is found that the resulting survival functions are accurately fitted by the family of complementary cumulative skew-normal distributions.

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“…However, much less attention was paid to the systems where the loading may not be uniform at the outset (see e.g. [21]). This is, however, a very common situation that can arise in all the examples mentioned above.…”

Section: Introductionmentioning

confidence: 99%

Effect of localized loading on failure threshold of fiber bundles

Biswas

Sen

2018

Physica A: Statistical Mechanics and its Applications

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We investigate the global failure threshold of an interconnected set of elements, when a finite fraction of the elements initially share an externally applied load. The study is done under the framework of random fiber bundle model, where the fibers are linear elastic objects attached between two plates. The failure threshold of the system varies non-monotonically with the fraction of the system on which the load is applied initially, provided the load sharing mechanism following a local failure is sufficiently wide. In this case, there exists a finite value for the initial loading fraction, for which the damage on the system will be maximum, or in other words the global failure threshold will be minimum for a finite value of the initial loading fraction. This particular value of initial loading fraction, however, goes to zero when the load sharing is sufficiently local. Such crossover behavior, seen for both one and two dimensional versions of the model, can give very useful information about stability of interconnected systems with random failure thresholds.

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Fiber Bundle Model Under Heterogeneous Loading

Cited by 4 publications

References 57 publications

Critical loading of pillar arrays having previously eliminated elements

Critical loading of pillar arrays having previously eliminated elements

Survivability of Suddenly Loaded Arrays of Micropillars

Effect of localized loading on failure threshold of fiber bundles

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