Dynamic fragmentation of brittle solids: a multi-scale model

Denoual, Christophe; Hild, François

doi:10.1016/s0997-7538(01)01187-1

Cited by 78 publications

(58 citation statements)

References 21 publications

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“…The intensity of the Poisson process is directly related to the Weibull parameters (Denoual and Hild 2002) that may be identified under quasi-static loading conditions as shown previously. Under impact, multiple fragmentation is observed (Figures 7 and 8) in many brittle materials.…”

Section: Fragmentation Modelmentioning

confidence: 77%

“…It may be noted that alternative (discrete) approaches may be followed (Camacho and Ortiz 1996;Mastilovic and Krajcinovic 1999;Ibrahimbegovic and Delaplace 2003). To account for confined damage, the KST model (Krieg 1978;Swenson and Taylor 1983) is coupled with a damage model based upon a fragmentation analysis (Denoual and Hild 2000;2002;Forquin et al 2003).…”

Section: Numerical Analysis Of Damage Induced By Impact In Concretementioning

confidence: 99%

“…The ceramic tile is mainly damaged before any wave reflection. An anisotropic damage model was proposed to predict the orientation and crack density (Denoual and Hild 2000;2002).…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Fragmentation of an Ultrahigh-Strength Concrete during Edge-On Impact Tests

Forquin

Hild

2008

J. Eng. Mech.

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Abstract:To understand and model damage generated during impact by a penetrator of ultra-high strength concrete targets, edge-on impact tests are performed with the so-called Ductal ® concrete, which is unreinforced or reinforced with short fibers. Two edge-on impact configurations are designed with a dynamic confinement system. The first configuration uses aluminum projectiles and allows us to study the dynamic fragmentation that spreads out within the tile without any confined damage close to the impact point. The fragmentation process is composed of numerous oriented millimetric cracks. In the second configuration, steel projectiles are used with a higher impact velocity. Damaged zones are visualized by using an ultra-high speed camera and a sarcophagus configuration designed to prevent the fragments from moving. The post-mortem studies of impacted tiles enable us to observe an intense fragmentation of the targets and confined damage close to the impact point if steel projectiles are used. Simulations are performed with an anisotropic damage model coupled with a concrete plasticity model. Orientation and crack density are compared with postmortem observations.

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Section: Fragmentation Modelmentioning

confidence: 77%

Section: Numerical Analysis Of Damage Induced By Impact In Concretementioning

confidence: 99%

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Dynamic Fragmentation of an Ultrahigh-Strength Concrete during Edge-On Impact Tests

Forquin

Hild

2008

J. Eng. Mech.

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“…When one of these points breaks, two unloading waves are emitted on both sides. They are supposed to propagate at a constant celerity c. They cover a so-called "obscuration cone" in the (X, t) plane in which failure is inhibited [6]. It can be easily seen that the obscuration cone of a point contains the 04009-p.2 obscuration cones of all the points it obscures.…”

Section: Fragmentation Of a Discrete Set Of Failure Pointsmentioning

confidence: 99%

Statistics of dynamic fragmentation for a necking instability

Dequiedt

2015

EPJ Web of Conferences

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Abstract. In the aim of predicting the fragmentation of expanding structures, a Mott type approach is applied to the potential failure points driven from an instability analysis. Substantially, fragmentation is preceded by the localization of plastic deformation in multiple necks forming potential sites for failure. This pattern is predicted by a combination of periodic instable eigenmodes of the structure, the necks being the maxima with varying spacing and amplitudes of the instable perurbation. Obscuration conditions, linked to the propagation of unloading waves, are next written for this set of potential failure points and yield a distribution of fragments. The approach is developed for an expanding ring experiment justifying the scatter in fragment sizes. It shows incidentally that the unloading waves must propagate at a celerity much lower than the elastic wave speed.

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“…To describe the inelastic behavior of ceramic, the model takes into account the progressive fragmentation of a monolithic intact cera mic material by means of a scalar damage ceramics under dynamic loading also propose r 1 as the variable driving fragmentation [37,38]. The maximum principal stress r 1 can be determined by the closed form expression…”

Section: Fdx: ð1þmentioning

confidence: 99%

A constitutive equation for ceramic materials used in lightweight armors

Fernández-Fdz

Zaera

Fernández-Sáez

2011

Computers & Structures

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a b s t r a c tA constitutive model to simulate the behavior of ceramic materials under impact loading is proposed in order to achieve a better representation of the damage process due to the material fragmentation. To integrate the proposed constitutive equations, a semi implicit algorithm (implicit for the stresses and explicit for the damage variable) has been developed, leading to the generalized expressions of the clas sical return mapping algorithm. The model was implemented in a commercial finite element code and its performance was demonstrated by comparing its predictions with experimental results obtained by other authors.

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Dynamic fragmentation of brittle solids: a multi-scale model

Cited by 78 publications

References 21 publications

Dynamic Fragmentation of an Ultrahigh-Strength Concrete during Edge-On Impact Tests

Dynamic Fragmentation of an Ultrahigh-Strength Concrete during Edge-On Impact Tests

Statistics of dynamic fragmentation for a necking instability

A constitutive equation for ceramic materials used in lightweight armors

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