Dynamic Spherical Cavity Expansion of Strain-Hardening Materials

Luk, V.K.; Forrestal, M. J.; Amos, Donald E.

doi:10.1115/1.2897150

Cited by 109 publications

(65 citation statements)

References 4 publications

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“…The effective plastic strain ( pl ) can be numerically found, integrating (24) over ξ in the plastic domain [1, ξ i ] with the boundary condition pl (ξ i ) = 0.…”

Section: Strain-dependent and Strain-rate-sensitive Model (Cs)mentioning

confidence: 99%

“…Finally, the penetration model was numerically solved and compared with results of computational finite-element simulations in order to verify the results. Numerical and computational models were also validated with experimental data obtained from Forrestal et al [14,24].…”

Section: Introductionmentioning

confidence: 99%

“…This technique was pioneered by Bishop et al [3] and Hill [16], who developed a set of equations for the quasi-static expansion of cylindrical and spherical cavities in order to estimate the force generated during a conical nose punch. These studies opened new possibilities to study the dynamic expansion of spherical cavities in elastoplastic and perfectly plastic materials [14,15,18]; in strain-hardening materials [12,24]; and more recently, in pressure-sensitive elasto-plastic, compressible and arbitrary strain-hardening mediums [6,11,26], the later based on the hypo-elastic theory formulated in [9,10].…”

Section: Introductionmentioning

confidence: 99%

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An engineering model for the penetration of a rigid-rod into a Cowper–Symonds low-strength material

Buchely

Maranon

2015

Acta Mech

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The impact of a rigid-rod into a low-strength target is an ubiquitous research problem in many scientific and engineering fields. Typically, this impact has been modeled by the expansion of a pressurized spherical cavity in an unbounded elasto-plastic medium. In this paper, an engineering penetration model was developed using the dynamic spherical cavity expansion theory for an elasto-plastic, compressible, straindependent and strain-rate-sensitive material. The material plastic flow behavior was modeled using the CowperSymonds strength model. The engineering model was numerically solved, and its predictions were compared with results of computational finite-elements simulations performed in ANSYS/AUTODYN. Additionally, engineering and computational models were validated with experimental data using spherical-nosed, M300 steel projectiles impacting a semi-infinite Al 6061-T651 plate. Comparisons showed good agreement among engineering model results, computational model results and experimental data.

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“…The effective plastic strain ( pl ) can be numerically found, integrating (24) over ξ in the plastic domain [1, ξ i ] with the boundary condition pl (ξ i ) = 0.…”

Section: Strain-dependent and Strain-rate-sensitive Model (Cs)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An engineering model for the penetration of a rigid-rod into a Cowper–Symonds low-strength material

Buchely

Maranon

2015

Acta Mech

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“…For penetration of non-deformable projectiles at sub ordnance or ordnance velocity into concrete targets, it is found experimentally that the influence of both modulus of elasticity and Poisson ratio of the projectile 19 as well as of the target 20,21 on the DOP can be neglected. In addition, most DOP models 10 appear independent on ρ t .…”

Section: Similarity Analysismentioning

confidence: 99%

Similarity Analysis of Projectile Penetration into Concrete

Huang

Tong

et al. 2018

Def. Sc. Jl.

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A dimensionless model for the depth of penetration (DOP) of a projectile penetrating into a concrete target, based on the similarity theory involving intermediate asymptotics, complete similarity, and incomplete similarity is presented. The calculated numerical results are in good agreement with previous experimental data, including two sets of full-scale and twenty-four sets of sub-scale penetration of non-deformable projectiles into concrete targets. Moreover, compared with several empirical and semi-empirical DOP models, the new model is applicable within a relatively broader range, including the penetration of both sub-scale and full-scale projectiles. For the limitations of the validity, dimensionless parameters Π 3 =ϕ t /ϕ larger than 12, Π 4 = (ϕ 3 f c )/(Mv 0 2 ) smaller than 0.1, and the initial impact velocity of the projectile less than about 900 m/s to 1000 m/s are necessary for the model.

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“…(1)- (12) Hunter (1) Hopkins (2) Srinivasan Ting (8) Srinivasan (9) Milne (10) (8), (9) 28d , 28e , 28f …”

mentioning

confidence: 99%

An Analysis of Propagation of Elastic-Plastic Spherical Waves in a Thick-Walled Sphere

Tanimoto¹

2011

Trans.JSME, Ser.A

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An analysis of dynamic behavior is carried out in the case when dynamic load with central symmetry is applied on the inner surface of the cavity with central symmetry of a thick-walled elastic-work hardening plastic sphere. The static stress-strain curve for the material in simple tension is assumed to be a smooth curve, concave toward the strain axis.Formulas are derived of the propagation speeds of spherical waves in an isotropic elastic-work hardening plastic body.Ordinary differential equations are derived among physical quantities along characteristic curves. Formulas of propagation speeds of the spherical waves in approximate bodies such as the elastic-linear hardening plastic, the elastic-perfectly plastic, the rigid-work hardening plastic, the rigid-linear hardening and the rigid-perfect plastic bodies are derived from those in the elastic-work hardening plastic body. Calculated results are also presented on the basis of the propagation theory of the spherical waves in the elastic-work hardening plastic body.

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Dynamic Spherical Cavity Expansion of Strain-Hardening Materials

Cited by 109 publications

References 4 publications

An engineering model for the penetration of a rigid-rod into a Cowper–Symonds low-strength material

An engineering model for the penetration of a rigid-rod into a Cowper–Symonds low-strength material

Similarity Analysis of Projectile Penetration into Concrete

An Analysis of Propagation of Elastic-Plastic Spherical Waves in a Thick-Walled Sphere

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