Peridynamic modelling of the dynamic crack initiation

Ignat'ev, M. P.; Kazarinov, N. A.; Petrov, Yu. V.

doi:10.1016/j.prostr.2020.10.138

Cited by 6 publications

(5 citation statements)

References 11 publications

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“…0, otherwise or if bond is broken (10). Then, deformation gradient tensor F can be obtained by reduction of the deformation vector state:…”

Section: Peridynamicsmentioning

confidence: 99%

“…It is worth noticing that for the extreme scenario when, for example, 𝜎 𝑦 𝐴 = 𝜎 𝑐 and𝜎 𝑦 𝐵 = 0 the bond will still fail. Formula ( 17) can be obviously rewritten using a more conventional expression for the bond stress [34,10] 𝜎 𝑦 𝑏𝑜𝑛𝑑 = (𝜎 𝑦 𝐴 + 𝜎 𝑦 𝐵 )/2, however this requires utilization of a halved ultimate stress value since we suppose that the bond should fail in the mentioned extreme case (𝜎 𝑦 𝐴 = 𝜎 𝑐 , 𝜎 𝑦 𝐵 = 0).…”

Section: Implementation Of the Stress-based Fracture Criteria In Peri...mentioning

confidence: 99%

“…The studied regimes suppose that both models will provide similar results and thus the developed numerical scheme could be verified. Peridynamic models of ITFC already demonstrated some experimental phenomena of the dynamic fracture [9,10]. The computations were performed using peridynamic software Peridigm [11] with additional procedures implementing the ITFC.…”

Section: Introductionmentioning

confidence: 99%

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Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach

Ignatiev

Yuri

Kazarinov

et al. 2022

Continuum Mech. Thermodyn.

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Peridynamic formulations of the mean stress and incubation time fracture models are discussed in the paper. Contemporary fracture simulations using the peridynamic theory often rely on critical bond stretch fracture criterion which is known to operate similarly to energybased fracture models. The energy-based fracture criteria -both in classical Griffith's and Irwin's form -are known to be powerful tools for fracture simulations and analysis. However, a number of experimentally observed dynamic fracture effects cannot be captured by these models, e.g. rate sensitivity of the material toughness. Thus, coupling of peridynamic approach with alternative stress-based fracture models would possibly broaden the peridynamics applicability. Here implementation technique of the aforementioned fracture model is discussed and its results for the case of a dynamically propagating crack with relatively low velocity due to quasistatic load appear to be in good agreement with the classical energy release rate approach.

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“…0, otherwise or if bond is broken (10). Then, deformation gradient tensor F can be obtained by reduction of the deformation vector state:…”

Section: Peridynamicsmentioning

confidence: 99%

Section: Implementation Of the Stress-based Fracture Criteria In Peri...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach

Ignatiev

Yuri

Kazarinov

et al. 2022

Continuum Mech. Thermodyn.

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“…Traffic safety in railroad transport depends on a huge number of factors, but the technical condition of the railroad track has the decisive influence on it. Any internal and external defects of rail reduce its strength characteristics [1][2][3][4][5][6], so the use of non-destructive testing to monitor and diagnose the railroad track is a means of ensuring traffic safety. Since 2013, mobile rail defectoscopy facilities in the track (defectoscope cars) have become the main means of non-destructive testing of rails.…”

Section: Introductionmentioning

confidence: 99%

Influence of speed of rail flaw detection on the reliability of its results

2023

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The system of non-destructive testing of rails during their operation on the railroad network of the Russian Federation is based on the use of removable and mobile means of flaw detection. The increase in the volume of control by mobile means in recent years is explained by their higher productivity due to the higher speed of control. But the increase in the speed of control inevitably leads to the loss of acoustic contact and missing defects.

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“…According to the aforementioned researches, the effect of additive fillers on the mechanical properties of polymethyl methacrylate-based composites during crack propagation is less reported [16,17]. Increasing the understanding of this method is essential for the composite structures development, using polymethyl methacrylate.…”

Section: Introductionmentioning

confidence: 99%

The computational study of crack growth process in defected polymethyl methacrylate/hydroxyapatite composite beam: peridynamic simulation

Akhlaghi-Fard,

Safari,

Mashhadi

et al. 2023

Phys. Scr.

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The presence of cracks in structural materials can be attributed to a wide array of factors. Gaining a comprehensive understanding of the underlying influences on crack formation in solid structures holds significant implications for the development of efficient industrial equipment. In the present computational investigation, we employ the peridynamic method to characterize the crack growth process in polymethyl methacrylate/hydroxyapatite beams. This particle-based simulation encompasses two fundamental steps. Initially, a modeled composite is brought to equilibrium under standard conditions, followed by an in-depth analysis of the crack growth phenomenon after subjecting the target structure to impact tests at three distinct velocities. The present investigation aims to quantitatively assess a range of physical parameters, such as crack length, repulsive force, relative bond length, potential energy, and damage criterion, to provide a comprehensive characterization of the crack growth process in polymethyl methacrylate/hydroxyapatite-based samples. The computational tool utilized for conducting the peridynamic simulations is the Large Scale Atomic/Molecular Massively Parallel Simulator (LAMMPS). The findings from the peridynamic analysis demonstrate a clear association between the ratio of hydroxyapatite and the resulting crack length in the sample, which consequently leads to heightened brittleness and a decrease in mechanical strength. The crack length ratio reaches a measurement of 9.09 mm when the beam under consideration contains 15% hydroxyapatite. The observed behavior can be ascribed to a reduction in the attractive forces acting between the constituent particles present in the sample. The numerical findings derived from this investigation possess significant implications for the development of mechanically robust composites in practical contexts.

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Peridynamic modelling of the dynamic crack initiation

Cited by 6 publications

References 11 publications

Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach

Peridynamic formulation of the mean stress and incubation time fracture criteria and its correspondence to the classical Griffith’s approach

Influence of speed of rail flaw detection on the reliability of its results

The computational study of crack growth process in defected polymethyl methacrylate/hydroxyapatite composite beam: peridynamic simulation

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