On the peak quasi-static load of axisymmetric buckling of circular tubes

Abbood, Mazin Y.; Kiter, Riyah N.

doi:10.1080/13588265.2020.1807679

Cited by 3 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The wave length of the fold -to be -was obtained by minimizing the external work consumed by one-fold formation. Later, many authors adopted a more realistic mechanism of folding wherein only outward folding is assumed [3][4][5][6][7][8]. However, experimental observations confirm that the material is capable of folding to both sides of the original radius of the cylinder.…”

Section: Introductionmentioning

confidence: 99%

Archive of Mechanical Engineering

Kiter

Abbood

Hassoon

2022

View full text Add to dashboard Cite

The axial crumpling of frusta in the axisymmetric "concertina" mode is examined. A new theoretical model is developed in which the inward folding in both cylinders and frusta is addressed. The results were compared with previous relevant models as well as experimental findings. The flexibility of the model was substantiated by its capability of describing and estimating the inward folding in frusta in general as well as in cylinders as a special case. A declining trend of the eccentricity dependence with the D/t ratio was found in contrast with a previous theory which suggests total independency. ABAQUS 14-2 finite element software was employed to simulate the thin tube as a 3-D thin shell part. Numerical simulations of the process were found to, firstly, underestimate the theoretical values of inward folding in general, secondly anticipate more underestimations as the tubes become thinner and/or have larger apex angle, and finally anticipate as low as 300 apical angle frusta to revert its mode of deformation to global inversion. Nomenclature 𝐷smaller diameter of frustum ℎ 1 , ℎ 2 plastic half-wavelengths ℎ crushed length 𝑚 1 , 𝑚 2 eccentricity factor for ℎ 1 , ℎ 2 𝑀 𝑝 fully plastic bending moment per unit length

show abstract