Crushing analysis of rotationally symmetric plastic shells

Oliveira, J. Gomes de; Wierzbicki, Tomasz

doi:10.1243/03093247v174229

Cited by 75 publications

(25 citation statements)

References 20 publications

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“…In many engineering applications, such as in metallic structures, the effect of plasticity, which begins to play a role at small strains, is an essential ingredient to consider. There have been a number of studies on the buckling of spherical shells under indentation that include the effects of plasticity [54,66,56,52]. Similar to what is seen in elastic shells as in our study, deformation localizes and s-cones form.…”

Section: Future Work and Potential Applicationssupporting

confidence: 75%

Localization of deformation in thin shells under indentation

et al. 2013

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We perform a hybrid experimental and numerical study of the localization of deformation in thin spherical elastic shells under indentation. Past a critical indentation, the deformation of the shell ceases to be axisymmetric and sharp points of localized curvature form. In plates, these sharp points are known as d-cones. By way of analogy, regions of localization in shells are referred to as s-cones, for 'shell-cones'. We quantify how the formation and evolution of s-cones is affected by the indenter's curvature. Juxtaposing results from precision model experiments and Finite Element simulations enables the exploration of the frictional nature of the shell-indenter contact. The numerics also allow for a characterization of the relative properties of strain energy focusing, at the different loci of localization. The predictive power of the numerics is taken advantage of to further explore parameter space and perform numerical experiments that are not easily conducted physically. This combined experimental and computational approach allows us to gain invaluable physical insight towards rationalizing this geometrically nonlinear process.

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Section: Future Work and Potential Applicationssupporting

confidence: 75%

Localization of deformation in thin shells under indentation

et al. 2013

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“…Updike [8] investigated large compression deformation of a rigid-plastic spherical shell and proposed an analytical model relating the crushing force to the deformation. De Oliveira and Wierzbicki [9] derived closed form solutions for conical and spherical shells subjected to point and boss loading. The solutions were reported valid until the crush distance reached the spherical shell radius.…”

Section: Introductionmentioning

confidence: 99%

Crushing and energy absorption characteristics of combined geometry shells at quasi-static and dynamic strain rates: Experimental and numerical study

Taşdemirci

Sahin

Kara

et al. 2015

Thin-Walled Structures

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a b s t r a c tThe quasi-static and dynamic crushing response and the energy absorption characteristics of combined geometry shells composed of a hemispherical cap and a cylindrical segment were investigated both experimentally and numerically. The inelastic deformation of the shells initiated with the inversion of the hemisphere cap and followed by the axisymmetric or diamond folding of the cylindrical segment depending on the loading rate and dimensions. The fracture of the thinner specimens in dynamic tests was ascribed to the rise of the flow stress to the fracture stress with increasing strain rate. The hemisphere cap absorbed more energy at dynamic rates than at quasi-static rates, while it exhibited lower strain rate and inertia sensitivities than the cylinder segment. For both the hemisphere cap and the cylinder segment, the inertial effect was shown to be more pronounced than strain rate effect at increasing impact velocities.

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“…In order to ascertain confidence in the model development, results from the elastic-plastic (EP) finite element (FE) model are compared with a closed-form solution for the plastic collapse of a rigid-plastic ellipsoidal shell subjected to a concentrated load applied at the center [15]. Figure 6 compares the closed-form (analytical) solution with finite element results using ABAQUS for AAR M-115 tank car steel.…”

Section: Figmentioning

confidence: 99%

Engineering Analyses for Railroad Tank Car Head Puncture Resistance

Jeong

Tang

et al. 2006

Rail Transportation

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This paper describes engineering analyses to estimate the forces, deformations, and puncture resistance of railroad tank cars. Different approaches to examine puncture of the tank car head are described. One approach is semi-empirical equations to estimate the velocity at which puncture is expected to occur. Other approaches apply elastic-plastic finite element analysis. The results from these approaches are compared with experimental data from impact tests, and are shown to provide reasonable estimates of impact forces.

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Crushing analysis of rotationally symmetric plastic shells

Cited by 75 publications

References 20 publications

Localization of deformation in thin shells under indentation

Localization of deformation in thin shells under indentation

Crushing and energy absorption characteristics of combined geometry shells at quasi-static and dynamic strain rates: Experimental and numerical study

Engineering Analyses for Railroad Tank Car Head Puncture Resistance

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