Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading

Mastilović, Sreten

doi:10.1177/1056789510385294

Cited by 12 publications

(21 citation statements)

References 34 publications

(74 reference statements)

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“…(2008). A similar trend of the strength increase due to the transition from cooperative to microcrack nucleation phenomena were discussed for quasi-brittle solids by Mastilovic (2011a, 2011b, 2013). While the small-size plateau analogs are well known and extensively discussed in the nanoscale plasticity in the last decade, the occurrence of the large-size saturation, observed in the present investigation, is unexpected at such, relatively small, (pre-bulk) sample volumes.…”

Section: Observations and Discussionsupporting

confidence: 76%

“…They associated this change with the change in nanoplasticity mechanisms from the surface dislocation nucleation at the small diameters to the collective dislocation dynamics at the larger diameters in accordance with the theoretical predictions by Zhu et al (2008). A similar trend of the strength increase due to the transition from cooperative to microcrack nucleation phenomena were discussed for quasi-brittle solids by Mastilovic (2011aMastilovic ( , 2011bMastilovic ( , 2013. While the small-size plateau analogs are well known and extensively discussed in the nanoscale plasticity in the last decade, the occurrence of the large-size saturation, observed in the present investigation, is unexpected at such, relatively small, (pre-bulk) sample volumes.…”

Section: Size Effect Of the Damage-fragmentation Transition Thresholdsupporting

confidence: 76%

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Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles

Mastilović

2016

International Journal of Damage Mechanics

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The focus of the present article is on the size effect of a transition region from the damaged to the fragmented phase in impact-induced breakup of a slender projectile. Molecular dynamics simulations of the classic ballistic Taylor test are performed with a simple generic model to explore an extended low-energy range. In the simulation setup, flat-ended, monocrystalline, nanoscale projectiles, with a fixed aspect ratio but 10 different diameters, collide perpendicularly with a rough rigid wall. With gradually increasing impact energy, a non-negligible projectile disintegration eventually takes place and is identified with the damage-fragmentation phase transition. These atomistic simulations offer an indispensable tool to gain an insight into damage evolution in the neighborhood of the damage-fragmentation transition resulting in the occurrence of fragmentation at the critical point. A finite size scaling analysis of the average fragment mass is carried out to determine critical exponents and dependence of the critical striking velocity upon the slender projectile’s diameter.

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Section: Observations and Discussionsupporting

confidence: 76%

Section: Size Effect Of the Damage-fragmentation Transition Thresholdsupporting

confidence: 76%

Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles

Mastilović

2016

International Journal of Damage Mechanics

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“…The stiffness of these elements can be determined from the mechanical properties of the anisotropic solid to be represented by the DEM. Schlangen and van Mier, Rinaldi and Lai, Rinaldi and Mastilovic employ different versions of the Lattice approach. Krajcinovic and Mastilovic, employing a 2D lattice model, examined several relevant aspects of quasi‐fragile materials response to impact, including the influence of the strain rate.…”

Section: Introductionsupporting

confidence: 54%

Assessment of empirical formulas for prediction of the effects of projectile impact on concrete structures

Kosteski

Riera

Iturrioz

et al. 2015

Fatigue Fract Eng Mat Struct

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The prediction of the response of structures subjected to projectiles impact may often be accomplished by means of empirical or semi‐empirical formulas available in the technical literature, which address mainly cases of relevance in engineering practice in terms of the observed failure modes. The paper presents an evaluation of the performance of the equations most widely used in predictions of penetration, scabbing and perforation of concrete and rock structures by comparing the predicted results with experimentally observed response and with the results of detailed numerical analyses employing the truss‐like Discrete Element Method (DEM). Numerical DEM predictions were shown to be close to the experimentally determined responses of concrete plates subjected to impact throughout the range of velocities examined and were also consistent with the empirical formulas. In all cases the authors attempted to quantify the uncertainty inherent both in the predictions of empirical formulas and of the numerical analysis.

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“…The discrete element method (DEM) is another approach in which the interaction among the bars allows to represent the structural behavior of the solid continuum in analysis. Several authors have used this approach to represent quasi-brittle materials; among others, it is possible to cite the work of Schlangen and van Mier (1995), Rinaldi et al (2007), Rinaldi (2011), and the works of Mastilovic (2008Mastilovic ( , 2010aMastilovic ( , 2010b.…”

Section: Introductionmentioning

confidence: 99%

The size effect in quasi-brittle materials: Experimental and numerical analysis

Colpo

Kosteski

Iturrioz

2016

International Journal of Damage Mechanics

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The size effect in structures is responsible for the materials apparent properties variations as function of size. Different methodologies are proposed in the literature to address this phenomenon; however, there is still no consensus on how to specifically deal with this. For instance, if the material investigated were a quasi-brittle material, it would present a fissures development in different scales during the damaging process. In the present work, an experimental study applying uniaxial tension over expanded polystyrene specimens of different sizes is proposed. The acoustic emission events occurring during the tests were also recorded. A tailored version of a lattice discrete element method was used to simulate the tests. This numerical approach take into account several phenomena related with the damage process in quasi-brittle materials, such as the localization effect, the fractal dimension nature of the region over which the damage evolves; the collaborative effect between cluster of fissures and the avalanche effect during the damage process. It is important to mention that these characteristics are associated with the correct simulation of the acoustic emission registry. The obtained experimental and simulated results were in great agreement and clearly showed a size effect, despite the narrow range of dimension explored. The size effect evaluated during the simulations, in terms of the dissipated energy, is shown to be in agreement to the known fractal theory proposed by Alberto Carpinteri and coworkers. Moreover, results in terms of acoustic emission are preliminarily explored to determine the correlation between the acoustic emission events and the fracture mode that governs the source of these events. Finally, some conclusions related to the size effect captured during the tests and the possibilities for simulations of the fracturing process in quasi-brittle materials provided by the numerical method are point out.

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Further Remarks on Stochastic Damage Evolution of Brittle Solids Under Dynamic Tensile Loading

Cited by 12 publications

References 34 publications

Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles

Damage-fragmentation transition: Size effect and scaling behavior for impact fragmentation of slender projectiles

Assessment of empirical formulas for prediction of the effects of projectile impact on concrete structures

The size effect in quasi-brittle materials: Experimental and numerical analysis

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