2017
DOI: 10.3934/matersci.2017.1.118
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Dynamic propagation of a macrocrack interacting with parallel small cracks

Abstract: In this study, the effect of small cracks on the dynamic propagation of a macrocrack is investigated by using a new continuum mechanics formulation, peridynamics. Various combinations of small cracks with different number, location and density are considered. Depending on the location, density and number of small cracks, the propagation speed of macrocrack differs. Some combinations of small cracks slows down the propagation of a macrocrack by 34%. Presented results show that this analysis can be useful for th… Show more

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Cited by 49 publications
(13 citation statements)
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“…Brittle materials have advantages such as hardness and wear resistance, but their deficiencies in terms of toughness and brittleness significantly restrain their usage in practice. This is the main reason that the problem of crack propagation at both macro and micro levels is a problem of frequent discussion in the recent literature [1][2][3][4].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Brittle materials have advantages such as hardness and wear resistance, but their deficiencies in terms of toughness and brittleness significantly restrain their usage in practice. This is the main reason that the problem of crack propagation at both macro and micro levels is a problem of frequent discussion in the recent literature [1][2][3][4].…”
Section: Introductionmentioning
confidence: 99%
“…The solutions belong to the problem of the interaction of intricate micro-crack patterns are not widely presented in the current literature [4]. One of the most recent studies on the effect of small cracks on the propagation of a macro-crack is presented in [3]. They provide a relation between various locations, density, and numbers of cracks and macro-crack propagation speed.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, Vazic et al [41] used the bond-based (BB) PD formulation to investigate the effect of the presence of parallel micro-cracks on dynamics of a main crack and their effects on the toughness enhancement of the poly methyl methacrylate (PMMA) material. According to their results, both positive and negative influence rate of micro-cracks are observed on the velocity of main-crack propagation and material toughness.…”
Section: Introductionmentioning
confidence: 99%
“…PD formulation allows to deal with complex crack interaction problems where multiple cracks of arbitrary shapes can be introduced in the structure, and tracking of the crack tip location and crack behaviour is not necessary. For this reason, original "bond-based" PD has been successfully applied to brittle fracture problems to predict crack nucleation and propagation [31][32][33][34] as well as the main crack interacting with micro-cracks [35,36]. However, the wide application of the "bond-based" PD [37] model has limitations in the specification of material properties since Poisson's ratio is constrained to 1/3 in the 2D models and 1/4 in the 3D models.…”
Section: Introductionmentioning
confidence: 99%