Application of the Discrete Element Method to crack propagation and crack branching in a vitreous dense biopolymer material

Hedjazi, Lotfi; Martín, Christophe; Guessasma, Sofiane; Valle, Guy Della; Dendievel, Rémy

doi:10.1016/j.ijsolstr.2012.03.030

Cited by 31 publications

(16 citation statements)

References 14 publications

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“…Because of the serious segregation of the materials at these two preparation temperatures, the crack propagation is hindered less, the expansion is faster, which leads to more serious wear and larger debris shedding. When the crack extends to a certain length, the material between the crack and the surface will peel off in the form of flake wear debris [30][31][32][33][34][35][36][37], so the wear mechanism at this time is peeling wear.…”

Section: Friction and Wear Properties Of In-situ Formed Aluminum Matrmentioning

confidence: 99%

Microstructure and tribological properties of in-situ formed Al₃Zr/A356 composite

Pinyi

et al. 2020

Mater. Res. Express

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A1 3 Zr/A356 Composite was prepared by in-situ reaction of K 2 ZrF 6 powder and cast aluminum A356 melt at different temperatures (710°C, 750°C, 770°C, 790°C). The effect of different melting temperature on the morphology of Al 3 Zr particles was studied, and the sliding friction and wear properties of the composites were studied by wear test. It can be seen from the x-ray diffractometer (XRD) that the prepared composite material consists of A1 3 Zr and ɑ-Al, and also has a small part of the aluminum-silicon eutectic phase; SEM analysis shows that the particles of in-situ reinforced phase are fine, With the increase of temperature, the morphology of A1 3 Zr reinforced phase changed from block to needle and strip, and the particle distribution of the reinforced phase was uniform and well dispersed in the matrix at 750°C. TEM experiments show that the reinforced phase exists at 750°C and has a good combination with the matrix, which plays a very good role in particle reinforcement Friction and wear experiments show that the different preparation temperature results in different phase morphology. The reinforced phase particles existing on the surface of composites at 710°C and 750°C bear most of the friction, so the friction coefficient of the composites is larger at these preparation temperature, and the main wear modes are oxidation wear and abrasive wear. The friction coefficient of the composites prepared at 770°C and 790°C is small, and the wear modes are mainly delamination wear and oxidation wear. When the preparation temperature is 750°C, the wear resistance of the composites is the best.

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Section: Friction and Wear Properties Of In-situ Formed Aluminum Matrmentioning

confidence: 99%

Microstructure and tribological properties of in-situ formed Al₃Zr/A356 composite

Pinyi

et al. 2020

Mater. Res. Express

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“…1 , x 2 ), defined according to t = N(φ) + N(ψ) ∧ e 3 , μ = Vψ, (3.4) where I 2 is the two-dimensional identity tensor in the 12-plane, N(φ) := (∇ 2 φ)I 2 − V ⊗ Vφ, and a similar relation holds for N(ψ). Because of the plane-strain assumption the only non-zero components of the couple-stress tensor are μ ρ3 and μ 3ρ (ρ = 1, 2), and in (3.4), we have tacitly assumed that μ ≡ μ 13 e 1 + μ 23 e 2 as μ 31 and μ 32 do not feature in the equilibrium equations and can in fact be obtained directly from μ 13 and μ 23 , respectively (e.g. [12]).…”

Section: The Equations Of Micropolar Theorymentioning

confidence: 99%

Couple stresses and the fracture of rock

Atkinson

Coman

Aldazábal

2015

Phil. Trans. R. Soc. A.

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An assessment is made here of the role played by the micropolar continuum theory on the cracked Brazilian disc test used for determining rock fracture toughness. By analytically solving the corresponding mixed boundary-value problems and employing singular-perturbation arguments, we provide closedform expressions for the energy release rate and the corresponding stress-intensity factors for both mode I and mode II loading. These theoretical results are augmented by a set of fracture toughness experiments on both sandstone and marble rocks. It is further shown that the morphology of the fracturing process in our centrally pre-cracked circular samples correlates very well with discrete element simulations.

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“…DEM modeling has been successful for modeling a wide range of phenomena in both loose and bound granular materials (Zhu et al, 2007(Zhu et al, , 2008, including deformation (Evans and Frost, 2010;Johnson and Hopkin, 2005), microstructure evolution (Evans and Valdes, 2011;Jacobson et al, 2007), fracture (Fakhimi et al, 2002;Lobo-Guerrero and Vallejo, 2005;Potyondy and Cundall, 2004), creep (Wang et al, 2008), and sintering (Martin et al, 2009). Building on the successes for granular materials, more recently there have been efforts in applying DEM to modeling mechanical properties of isotropic solids, such as glasses and polymers, that have been traditionally modeled as continua (Andre et al, 2013;Hedjazi et al, 2012;Jebahi et al, 2013;Kosteski et al, 2012). Modelling solids using DEM involves bonding the discrete elements together at their contact points and the main motivation is to exploit several attractive features of DEM.…”

Section: Introductionmentioning

confidence: 99%

A discrete element method representation of an anisotropic elastic continuum

Truszkowska¹,

Yu²,

Greaney³

et al. 2018

Journal of the Mechanics and Physics of Solids

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A method for modeling cubically anisotropic elasticity within the discrete element method is presented. The discrete element method (DEM) is an approach originally intended for modeling granular materials (sand, soil, and powders); however, recent developments have usefully extended it to model stochastic mechanical processes in monolithic solids which, to date, have been assumed to be elastically isotropic. The method presented here for efficiently capturing cubic elasticity in DEM is an important prerequisite for further extending DEM to capture the influence of elastic anisotropy on the mechanical response of polycrystals, composites, etc. The system demonstrated here uses a directionally assigned stiffness in the bonds between adjacent elements and includes separate schemes for achieving anisotropy with Zener ratios greater and smaller than one. The model framework is presented along with an analysis of the accessible space of elastic properties that can be modeled and an artificial neural network interpolation scheme for mapping input parameters to model elastic behavior.

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Application of the Discrete Element Method to crack propagation and crack branching in a vitreous dense biopolymer material

Cited by 31 publications

References 14 publications

Microstructure and tribological properties of in-situ formed Al₃Zr/A356 composite

Microstructure and tribological properties of in-situ formed Al₃Zr/A356 composite

Couple stresses and the fracture of rock

A discrete element method representation of an anisotropic elastic continuum

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Application of the Discrete Element Method to crack propagation and crack branching in a vitreous dense biopolymer material

Cited by 31 publications

References 14 publications

Microstructure and tribological properties of in-situ formed Al3Zr/A356 composite

Microstructure and tribological properties of in-situ formed Al3Zr/A356 composite

Couple stresses and the fracture of rock

A discrete element method representation of an anisotropic elastic continuum

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Product

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Microstructure and tribological properties of in-situ formed Al₃Zr/A356 composite

Microstructure and tribological properties of in-situ formed Al₃Zr/A356 composite