A Note on Short-time Response of Two-dimensional Lattices during Dynamic Loading

Mastilović, Sreten

doi:10.1177/1056789508092397

Cited by 14 publications

(13 citation statements)

References 9 publications

(14 reference statements)

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“…The numerical simulation of the displacement-controlled uniaxial tension test (Figure 1) is designed to ensure uniform distribution of load within a sample and to cancel adverse effects of the lateral inertia (Mastilovic, 2008;1 The selection of order parameters for the two model sets warrants a disclaimer. The LD lattice order parameters were chosen originally (Mastilovic et al (2008), and references therein) to capture, as close as possible within the limits of the model, the micrographs of alumina.…”

Section: Lattice Simulationsmentioning

confidence: 99%

Some Observations Regarding Stochasticity of Dynamic Response of 2D Disordered Brittle Lattices

Mastilović

2010

International Journal of Damage Mechanics

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It had been long recognized that the tensile strength of brittle materials increases with increase of the loading rate. In the present article, a statistical approach to rupture of a disordered 2D triangular truss lattice consisting of fragile nonlinear springs is attempted in hope to elucidate some generic effects of structural and geometrical disorder on the tensile strength and the (stress-peak and post-peak) damage energy rates. The simulation results reveal increase of the mean and decrease of the standard deviation of the macroscopic tensile strength with increase of the structural and geometrical order till the ‘theoretical strength’ saturation. At the same time, the increase in lattice disorder results in increase of the mean and standard deviation of the stress-peak damage energy rate, followed by the decrease of the same in the softening regime.

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Section: Lattice Simulationsmentioning

confidence: 99%

Some Observations Regarding Stochasticity of Dynamic Response of 2D Disordered Brittle Lattices

Mastilović

2010

International Journal of Damage Mechanics

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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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“…It should be noted that the mechanical stress and effective stiffness, defined by interatomic forces and atomic positions (3.1), become physically ill-defined when the averaging area, in the course of severe distortion or fragmentation, becomes incompletely occupied by atoms. Finally, two-dimensional triangular lattice is equivalent to three-dimensional continuum under plane-strain conditions [16]. Thus, expression for the modulus of elasticity and Poisson's ratio…”

Section: Molecular Dynamicsmentioning

confidence: 99%

Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids

Mastilović

2018

Theor appl mech (Belgr)

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The objective of the present review is twofold. First, it aims at highlighting some sigmoid and reverse-sigmoid response patterns observed recently in the course of simulations of the high-strain-rate loading of (mostly, quasibrittle) solids. Second, it aims at reviewing various properties of two models used frequently as curve fitting tools for nonlinear and saturable phenomena. These two models-inspired by the Hill and the Weibull cumulative distribution functions-are bounded by two horizontal asymptotes with a smooth transition between the baseline and the final saturation state, characterized by a non-negative (a non-positive) derivative at each point for the sigmoid (the reverse-sigmoid) shape. Although they were used primarily for data fitting because of their flexibility and effectiveness, these nonlinear models possess other properties useful for the analysis of the irreversible, nonlinear and far-from-equilibrium phenomena. The main features of these two models are systematically examined in this review. In spite of the fact that satisfactory curve-fitting of data could not be considered a proof of causality it could underline a pattern of behavior and, perhaps, provide an investigation guidance.

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A Note on Short-time Response of Two-dimensional Lattices during Dynamic Loading

Cited by 14 publications

References 9 publications

Some Observations Regarding Stochasticity of Dynamic Response of 2D Disordered Brittle Lattices

Some Observations Regarding Stochasticity of Dynamic Response of 2D Disordered Brittle Lattices

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

Some sigmoid and reverse-sigmoid response patterns emerging from high-power loading of solids

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