Dynamic spherical cavity expansion in Gurson materials with uniform and non-uniform distributions of porosity

Santos, Tiago dos; N'souglo, Komi Espoir; Rodríguez-Martínez, J.A.

doi:10.1016/j.mechmat.2019.04.017

Cited by 9 publications

(23 citation statements)

References 42 publications

(96 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thermo-mechanical coupling is not accounted for, nor is strain rate dependence. Incorporating the later effect can potentially be achieved by applying the methodology used in (Santos et al, 2019), for the spherical field. Thermal effects can be accounted for by extending the work in Masri (2014) to include inertia.…”

Section: Discussionmentioning

confidence: 99%

Dynamic enlargement of a hole in a sheet: Crater formation and propagation of cylindrical shock waves

Cohen

2019

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

Predicting the shape of a crater formed by high velocity impact is of interest in several fields. It can aid in design of more efficient protective structures, in forensic analysis of bullet holes, and in understanding the effects of meteorite impact in both space systems and in extreme geological events. In this paper we present, for the first time, a complete theoretical solution of the dynamic plane-stress problem. We consider the steady-state expansion of a cylindrical hole in a strain hardening elastoplastic sheet and find that a self-similar field emerges if the 'specific cavitation energy' is constant. It is shown that at the quasistatic limit this solution reduces to available classical solutions, while at high expansion velocities shock waves can appear. Investigation of the constitutive sensitivities of the expansion field is conducted and compared with available results for the spherical field which is commonly applied to predict resistance to high velocity penetration. It is shown that shock waves appear at significantly lower expansion velocities, in the plane-stress deformation pattern, for which material compressibility is found to have a negligible effect. This insensitivity can be taken advantage of in the future for design of light weight protective layers by incorporating porosity.

show abstract

Section: Discussionmentioning

confidence: 99%

Dynamic enlargement of a hole in a sheet: Crater formation and propagation of cylindrical shock waves

Cohen

2019

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

show abstract

“…We also incorporate into the model the artificial viscosity approach used in refs. [31,18] to capture the formation of plastic shock waves at high cavitation velocities in rate-independent materials. The goal is to study whether this artificial viscosity is required to model shocks in viscoplastic media or if, on the contrary, the material viscosity is sufficient to regularize the problem and describe the emergence of shocks.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Note that the artificial viscosity approach is only used in the definition of the stresses that enters into the balance of linear momentum (see refs. [31,18]).…”

Section: Materials Behaviormentioning

confidence: 99%

“…Following the development presented in refs. [33,32,31,18], the dimensionless viscous Kirchhoff stresses,…”

Section: Materials Behaviormentioning

confidence: 99%

“…Recall that in refs. [31,18] the artificial viscosity was essential to model plastic shocks in rate-independent materials. In this paper, as mentioned before, the idea is to investigate if the artificial viscosity is necessary to model shock waves in viscoplastic media.…”

Section: Materials Behaviormentioning

confidence: 99%

See 2 more Smart Citations

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

et al. 2020

Self Cite

View full text Add to dashboard Cite

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.

show abstract

The effect of voids shape on hypervelocity cylindrical cavity expansion and shock waves formation in transversely isotropic porous materials

et al. 2022

Self Cite

View full text Add to dashboard Cite

This paper investigates the steady-state dynamic radial expansion of a pressurized circular cylindrical cavity in an infinite porous medium modeled with the constitutive framework developed by Monchiet et al. (2008), which considers the material to display a periodic porous microstructure with spheroidal voids and matrix described by the orthotropic yield criterion of Hill (1948). For that purpose, we have extended the formulation of dos Santos et al. (2019b) to consider oblate and prolate voids, which allows to assess the role of the initial voids shape on the elastoplastic-anisotropic fields that develop near the cavity. The theoretical development follows the cavity expansion formalism of Cohen and Durban (2013) and employs the artificial viscosity approach of Lew et al. (2001) to avoid singularities in the field variables due to the formation of plastic shock waves. The main outcome of this work is a relationship between the critical cavity expansion velocity for which plastic shocks emerge and the initial aspect ratio of the spheroidal voids. The results show that the formation of shocks is delayed for oblate voids, in comparison with spherical and prolate voids. These findings have been substantiated for different anisotropic behaviors and initial void volume fractions.

show abstract

Dynamic spherical cavity expansion in Gurson materials with uniform and non-uniform distributions of porosity

Cited by 9 publications

References 42 publications

Dynamic enlargement of a hole in a sheet: Crater formation and propagation of cylindrical shock waves

Dynamic enlargement of a hole in a sheet: Crater formation and propagation of cylindrical shock waves

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

The effect of voids shape on hypervelocity cylindrical cavity expansion and shock waves formation in transversely isotropic porous materials

Contact Info

Product

Resources

About