Crushing of square honeycombs using disordered spring network model

Kumar, Deepak; Banerjee, Anuradha; Rajesh, R.

doi:10.1016/j.mechmat.2021.103947

Cited by 5 publications

(6 citation statements)

References 45 publications

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“…To validate the predictions of simulation in relation to macroscopic response and failure paths with experimental data, we use the elastic–plastic behaviour (E=3.50 GPa, ϵy=0.0045 and n=0.638) from Kumar et al [33] for a quasi-brittle epoxy-based polymer. We estimate the failure strain threshold to be 0.03 and take the 5% disorder in it for consistency with Kumar et al [33].…”

Section: Resultsmentioning

confidence: 99%

“…To incorporate the nonlinear material behaviour, we determine the spring constants in the nonlinear regime as in Kumar et al [33]. For each spring, the onset of nonlinearity was taken to occur when the strain in the spring exceeded the yield strain, εy.…”

Section: Random Spring Network Modelmentioning

confidence: 99%

“…By contrast, for higher disorder there are multiple bond breaking events prior to final failure such that plastic events and bond breaking events interact. ) n = 0.638) from Kumar et al [33] for a quasi-brittle epoxy-based polymer. We estimate the failure strain threshold to be 0.03 and take the 5% disorder in it for consistency with Kumar et al [33].…”

Section: (B) Failure Mechanismmentioning

confidence: 99%

“…n = 0.638) from Kumar et al [33] for a quasi-brittle epoxy-based polymer. We estimate the failure strain threshold to be 0.03 and take the 5% disorder in it for consistency with Kumar et al [33].…”

Section: (B) Failure Mechanismmentioning

confidence: 99%

“…In recent years, the linear RSNM has been successfully employed in reproducing experimental data from fracture testing of composite laminates [25], compressive failure of bone [26,–28], formation of desiccation crack patterns [29], crack propagation in patterned material [30,–32] and concrete [4]. In a more recent study, nonlinear, power-law hardening spring characteristics were used to model crushing behaviour of an epoxy-based cellular solid [33]. While the study illustrated the suitability of the model in reproducing experimental data of the crushing response and observed failure mechanisms, the interplay between the hardening behaviour and the disorder on the physics of fracture of the bulk solid was left as a future task.…”

Section: Introductionmentioning

confidence: 99%

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Interplay between disorder and hardening during tensile fracture of a quasi-brittle solid

2022

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We examine the specific role of the interplay between hardening and disorder characteristics of a representative quasi-brittle material on its failure mechanisms using a random spring network model. The model incorporates quasi-brittleness in its spring constants and disorder in the failure strain threshold and is shown to be effective in simulating the experimentally observed tensile and fracture behaviour of a quasi-brittle epoxy resin-based polymer. It is shown that rapid localization of deformation and associated damage growth occurs for a weakly hardening solid while for a linear elastic material, damage nucleates at multiple independent sites, and there is significant growth of damage, independent of other nucleating sites, prior to maximum load. The failure mechanism is shown to crossover from an avalanche-dominated fracture for a linear elastic material to nucleation-dominated fracture for a weakly hardening material.

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