The structure of steady shock waves in porous metals

Czarnota, Christophe; Molinari, A.; Mercier, Sébastien

doi:10.1016/j.jmps.2017.06.005

Cited by 45 publications

(51 citation statements)

References 28 publications

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“…The sign of the dynamic stress is related to the evolution of the micro-kinetic energy density, see Eq. (14). The negative values of     observed in Fig.…”

Section: Hugoniot and Shock Behaviour Of Viscoplastic Foamsmentioning

confidence: 77%

“…From Eq. (14), this implies that the work of the dynamic stress during the shock compaction is equal to zero:…”

Section: Analytical Expression Of the Hugoniot Curve For Elastic-plasmentioning

confidence: 99%

“…However, in this case, the determination of the strain-rate history during the shock compression is needed to evaluate the Hugoniot stress. It is expected that both viscoplastic and micro-inertia effects influence the shock structure [13][14]. The selection of a specific micro-inertia model is therefore necessary.…”

Section: Computation Of the Hugoniot Of Viscoplastic Closed-cell Foamsmentioning

confidence: 99%

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Modelling of the behaviour of metal foams under shock compression

Jacques

Barthélémy²

2018

EPJ Web Conf.

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A theoretical modelling is proposed to describe the shock response of foam materials. This model is based on micromechanical and energetic arguments, and takes into account the contribution of microscale inertia. Within this framework, an analytical expression of the Hugoniot stress-strain curve is proposed for elastic-plastic cellular materials. The predictions derived from the proposed model are in excellent agreement with experimental data for open-cell aluminium foams. The case of viscoplastic foams is also considered.

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“…The sign of the dynamic stress is related to the evolution of the micro-kinetic energy density, see Eq. (14). The negative values of     observed in Fig.…”

Section: Hugoniot and Shock Behaviour Of Viscoplastic Foamsmentioning

confidence: 77%

“…From Eq. (14), this implies that the work of the dynamic stress during the shock compaction is equal to zero:…”

Section: Analytical Expression Of the Hugoniot Curve For Elastic-plasmentioning

confidence: 99%

Section: Computation Of the Hugoniot Of Viscoplastic Closed-cell Foamsmentioning

confidence: 99%

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Modelling of the behaviour of metal foams under shock compression

Jacques

Barthélémy²

2018

EPJ Web Conf.

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“…where Φ and Θ are given by Equations (57) and (58), and superposed prime denotes differentiation with respect to ξ. Equations (59) and (60) are the governing equations for the stress components (Σ and Σ r ) in the elastic-plastic region. The boundary conditions for this system are: continuity of the radial stress and plastic yield at the elastic/plastic interface (ξ = ξ i ) and a continuous velocity on the cavity wall (V(ξ = ξ i ) = 1).…”

Section: Compressible-dynamical Solutionmentioning

confidence: 99%

“…Cohen and Durban [59] investigated the shock waves in porous materials based on the dynamic cavity expansion theory. This work was continued by Czarnota et al [60] for ductile metallic materials and by Rodriguez-Martinez et al [61] for strain-hardening materials.…”

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confidence: 91%

Spherical Cavity Expansion Approach for the Study of Rigid-Penetrator’s Impact Problems

Buchely

Maranon

2020

Applied Mechanics

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In recent years, Spherical Cavity Expansion (SCE) theory has been extensively utilized to model dynamic deformation processes related to indentation and penetration problems in many fields. In this review, the SCE theory is introduced by explaining the different mathematical features of this theory, its solution, and a potential application to model the penetration of a rigid penetrator into a deformable target. First, a chronologically literature review of the most common models used to study this kind of penetration problems is introduced, focusing on the SCE theory. Then, the engineering model of penetration is presented using the SCE approach. The model is then compared and validated with some FE numerical simulations and with previous penetration results. It is concluded that this engineering model based on the SCE theory can be utilized to predict the projectile deceleration and penetration depth into the semi-infinite and finite targets impacted by rigid penetrators.

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Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

et al. 2020

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In this paper, we extend the dynamic spherical cavity expansion model for rate-independent materials developed in refs. [1,2,3] to viscoplastic media. For that purpose, we describe the material behavior with an isotropic Perzynatype overstress formulation [4,5] in which the material rate-dependence is controlled by the viscosity parameter η. The theoretical predictions of the cavity expansion model, which assumes that the cavity expands at constant velocity, are compared with finite element simulations performed in ABAQUS/Explicit [6]. The agreement between theory and numerical simulations is excellent for the whole range of cavitation velocities investigated, and for different values of the parameter η. We show that, as opposed to the steady-state self-similar solutions obtained for rate-independent materials [1, 2, 3], the material viscosity leads to time-dependent cavitation fields and stress relaxation as the cavity enlarges. In addition, we also show that the material viscosity facilitates to model the shock waves that emerge at the highest cavitation velocities investigated, controlling the amplitude and the width of the shock front.

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The structure of steady shock waves in porous metals

Cited by 45 publications

References 28 publications

Modelling of the behaviour of metal foams under shock compression

Modelling of the behaviour of metal foams under shock compression

Spherical Cavity Expansion Approach for the Study of Rigid-Penetrator’s Impact Problems

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

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