Study of steady cavitation assumptions in strain-rate-sensitive solids for rigid projectile penetrations

Buchely, Mario F.; Maranon, A.

doi:10.1007/s00707-016-1667-5

Cited by 8 publications

(8 citation statements)

References 22 publications

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“…A large number of analytical and numerical studies have been devoted to the analysis of quasi-static and dynamic cavitation in a wide variety of materials (Abeyaratne and Horgan, 1985, Ball, 1982, Bassani et al, 1980, Buchely and Marañon, 2016, Cohen and Durban, 2013, Durban and Baruch, 1976, Durban and Fleck, 1997, Durban and Masri, 2004, Fond, 2001, Henao, 2009, Horgan and Polignone, 1995, Hou and Abeyaratne, 1992, Huang et al, 1991, Hunter and Crozier, 1968, Ortiz and Molinari, 1992, Rodríguez-Martínez et al, 2014, Singh et al, 2013, Steenbrink et al, 1997, Wright and Ramesh, 2008, Wu et al, 2003.…”

Section: Introductionmentioning

confidence: 99%

Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia

Faye

Rodríguez-Martínez

Volokh

2017

International Journal of Non-Linear Mechanics

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Dynamic cavitation is known to be a typical failure mechanism in rubber-like solids. While the mechanical behaviour of these materials is generally ratedependent, the number of theoretical and numerical works addressing the problem of cavitation using nonlinear viscoelastic constitutive models is scarce. It has been only in recent years when some authors have suggested that cavitation in rubber-like materials is a dynamic fracture process strongly affected by the rate-dependent behaviour of the material because of the large strains and strain rates that develop near the cavity. In the present work we further investigate previous idea and perform finite element simulations to model the dynamic expansion of a spherical cavity embedded into a rubber-like ball and subjected to internal pressure. To describe the mechanical behaviour of the rubber-like material we have used an experimentally calibrated constitutive model which includes rate-dependent effects and material failure. The numerical results demonstrate that inertia and viscosity play a fundamental role in the cavitation process since they stabilize the material behaviour and thus delay failure.

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Section: Introductionmentioning

confidence: 99%

Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia

Faye

Rodríguez-Martínez

Volokh

2017

International Journal of Non-Linear Mechanics

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“…Moreover, Buchely and Marañon [22,23] compared the cavitation fields obtained with the steady-state selfsimilar model developed by Masri and Durban [2] for rate-independent Mises solids with finite element simulations performed for strain-hardening and strain-rate dependent J2 materials. The computations of Buchely and Marañon [22,23] confirmed previous theoretical considerations reported in refs. [15,19,20], and showed that the cavitation fields for rate-dependent materials are functions of time, and cannot be modeled with steady-state self-similar approaches.…”

Section: Introductionmentioning

confidence: 99%

“…[15,19,20], and showed that the cavitation fields for rate-dependent materials are functions of time, and cannot be modeled with steady-state self-similar approaches. However, Buchely and Marañon [22,23] limited their attention to relatively low cavity expansion velocities (m ≤ 0.1, see Eq. (27)) and the effect of material viscosity on shock waves formation at high cavitation velocities was not addressed.…”

Section: Introductionmentioning

confidence: 99%

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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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“…More recently, Buchely et al [51][52][53] developed an engineering model based on the spherical cavity expansion theory for the penetration of a rigid-rod into an elasto-plastic, J2Mises, compressible, Cowper-Symonds strength model. The computations of Buchely and Maranon confirmed previous theoretical considerations and showed that the cavitation fields for rate-dependent materials are functions of time and cannot be modeled with steady-state self-similar approaches.…”

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confidence: 99%

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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Study of steady cavitation assumptions in strain-rate-sensitive solids for rigid projectile penetrations

Cited by 8 publications

References 22 publications

Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia

Spherical void expansion in rubber-like materials: The stabilizing effects of viscosity and inertia

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

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

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