Nonsymmetric buckle patterns in progressive plastic buckling

Horton, W.H.; Bailey, S. C.; Edwards, Ad

doi:10.1007/bf02326556

Cited by 29 publications

(9 citation statements)

References 7 publications

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“…An initial axisymmetric bulge is formed before peak load, but beyond peak load this mode bifurcates into a diamond pattern. Previously, this collapse mode for thin tubes has been observed experimentally by Horton et al (1966) and theoretically by Yoshimura (1955), Pugslay & Macaulay (1960) and Tvergaard (1983). -Mode D: Two-lobe diamond.…”

Section: (B) Discussion Of the Predicted Collapse Mechanismsmentioning

confidence: 62%

Collapse mechanism maps for a hollow pyramidal lattice

et al. 2010

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Cellular materials with hollow lattice truss topologies exhibit higher compressive strengths than equivalent structures with solid trusses owing to their greater resistance to plastic buckling. Consequently, hollow trusses have attracted interest as the cores for sandwich panels. Finite-element calculations are used to investigate the elastic–plastic compressive collapse of a metallic sandwich core made from vertical or inclined circular tubes, made from annealed AISI 304 stainless steel. First, the dependence of the axial compressive collapse mode upon tube geometry is determined for vertical tubes with built-in ends and is displayed in the form of a collapse mechanism map. Second, the approach is extended to inclined circular hollow tubes arranged as a pyramidal lattice core; the collapse modes are identified and the peak compressive strength is determined as a function of geometry. For a given relative density of hollow pyramidal core, the inclined tube geometry that maximizes peak strength is identified. The predicted collapse modes and loads for the pyramidal core are in excellent agreement with measurements for the limited set of experimentally investigated geometries.

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Section: (B) Discussion Of the Predicted Collapse Mechanismsmentioning

confidence: 62%

Collapse mechanism maps for a hollow pyramidal lattice

et al. 2010

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“…Therefore, the prediction of deforming behaviour is difficult. The compression process of metallic tubes of different shapes and sizes under different loading and different support conditions were investigated by many researchers in the past few decades by considering different analytical models of collapse [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] . Recently, finite element codes have also been employed to understand the compression process by few researchers [26][27][28] .…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Collapse of Metallic Tubes

Gupta

Sekhon

2008

DSJ

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Quasi-static axial and lateral compression tests were conducted on aluminium tubes of circular, rectangular, and square cross sections on a universal testing machine (Instron model 1197). During the compression process, different tubes were collapsed in different modes of collapse. These compression processes were also modelled using FORGE2 finite element code. The code has the capabilities of automatic mesh generation, modelling of die, creation of material data file, carrying out the finite element computations, and post-processing of results. The deforming tube material was modelled as rigid-visco-plastic. Development of different modes of collapse was investigated experimentally and computationally. The experimental load-compression curves and deformed shapes are compared with the computed results and found in good agreement. It is found that the proposed finite element models of the different compression processes are capable of predicting the modes of collapse.

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“…Among all the cross sections examined by Mamalis et al [2003], thick-walled circular tubes exhibited the most stable crash mode. The experimental investigations-for example, [Lee 1962;Batterman 1965;Horton et al 1966;Johnson et al 1977;Nemat-Nasser et al 2007]-have shown that relatively thick shells (radius to thickness ratio R/t < 50) buckle axisymmetrically, whereas this symmetry breaks for thinner shells and they instead buckle in a diamond pattern. Lee [1962], Batterman [1965], and Tennyson and Muggeridege [1969] have found that initial imperfections can significantly influence diamond-shaped circumferential mode buckling (when R/t < 100), according to an incremental theory.…”

Section: Introductionmentioning

confidence: 99%

Experimental and computational evaluation of compressive response of single and hex-arrayed aluminum tubes

Nemat‐Nasser

Amini

Choi

et al. 2007

JOMMS

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We report experiments and simulations of the dynamic and quasistatic compressive response of single and hex-arrayed thick aluminum tubes. The investigation aims to further characterize how tube-based sandwich structures absorb energy. First, we study by compression tests the quasistatic buckling of single tubes of 7075 aluminum, an alloy showing sufficient ductility and plasticity to make it potentially a good choice for energy absorbing devices. The experiments show geometry-dependent buckling modes. The corresponding finite element numerical simulations correlate well and will help estimate the maximum load level, and the buckling and postbuckling responses. Second, we study the dynamic buckling of sandwiched, hex-arrayed 3003 aluminum tubes. The simulations and experimental results correlate well and show a remarkable increase in energy absorbing capacity, which is caused by the postbuckling interaction of neighboring tubes. They also show that, as the tube spacing is decreased, the overall energy absorbed increases significantly. We also simulate how varying tube length and thickness affect the buckling of the array under dynamic loading.

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Nonsymmetric buckle patterns in progressive plastic buckling

Cited by 29 publications

References 7 publications

Collapse mechanism maps for a hollow pyramidal lattice

Collapse mechanism maps for a hollow pyramidal lattice

Finite Element Analysis of Collapse of Metallic Tubes

Experimental and computational evaluation of compressive response of single and hex-arrayed aluminum tubes

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