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Research Papers: Design and Analysis

Buckling of High-Strength Steel Cylinders Under Cyclic Bending in the Inelastic Range1

[+] Author and Article Information
George E. Varelis

Department of Mechanical Engineering,
University of Thessaly,
Volos 38334, Greece
e-mail: gevareli@mie.uth.gr

Spyros A. Karamanos

Department of Mechanical Engineering,
University of Thessaly,
Volos 38334, Greece
e-mail: skara@mie.uth.gr

Part of this work has been presented in the ASME PVP 2013 Conference (paper number PVP2013-98159).

2Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received June 29, 2013; final manuscript received November 26, 2013; published online January 30, 2014. Assoc. Editor: Haofeng Chen.

J. Pressure Vessel Technol 136(2), 021207 (Jan 30, 2014) (11 pages) Paper No: PVT-13-1104; doi: 10.1115/1.4026123 History: Received June 29, 2013; Revised November 26, 2013

The present paper examines the structural behavior of elongated steel hollow cylinders, referred to as tubes or pipes, subjected to large cyclic bending, through a rigorous finite element simulation. The bent cylinders exhibit cross-sectional distortion, in the form of ovalization, combined with excessive plastic deformations. Those deformations grow under repeated loading and may lead to structural instability in the form of local buckling (wrinkling) and, eventually, failure of the loaded member. The study focuses on relatively thick-walled seamless cylindrical members made of high-strength steel, which exhibit local buckling in the plastic range of the steel material. The analysis is conducted using advanced nonlinear finite element models capable of describing both geometrical and material nonlinearities. A cyclic plasticity model that adopts the “bounding surface” concept is employed. The material model is calibrated through special-purpose material testing, and implemented within ABAQUS, using a user-subroutine. The finite element model is validated by comparison with two experiments on high-strength steel tubular members. Special emphasis is given on the increase of ovalization and the gradual development of small-amplitude initial wrinkles with repeated loading cycles. A parametric numerical study is conducted, aimed at determining the effects of initial wrinkles on plastic buckling performance.

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References

Figures

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Fig. 1

Experimental set-up for tube bending [26]

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Fig. 2

Cyclic loading material curves for the T590 material and bounding-surface constitutive model predictions under strain-controlled conditions—Δɛ=±0.96‰. (a) model with parameter set M1 (b) model with parameter set M2.

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Fig. 3

Cyclic loading material curves for the T590 material; (a) test results and (b) bounding-surface constitutive model M2 predictions under stress-controlled conditions.

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Fig. 4

Local buckling modes: (a) specimen No. 1 (b) specimen No. 2 [26]

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Fig. 5

Numerical model: (a) general view (b) mesh detail

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Fig. 6

Wrinkling imperfections (amplified)

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Fig. 7

Schematic representation of the Tseng-Lee model and definition of “congruent” point

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Fig. 8

Experimental results and numerical predictions for the moment-rotation loops for (a) Test 1 and (b) Test 2

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Fig. 9

Monotonic bending behavior, test No.2 geometry: (a) Moment–rotation curves, (b) Ovalization–rotation curves.

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Fig. 10

Effect of the initial wrinkling amplitude on (a) on the maximum moment and (b) the critical rotation ϕb for monotonic loading

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Fig. 11

Evolution of wrinkle height, Δϕ=±2.5ϕy, D=324.75 mm, t=10.88, fy=735 MPa

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Fig. 12

Evolution of the central and the secondary wrinkles under cyclic loading; initial wrinkling imperfection 0.8%, Δϕ=±2.5ϕy, D=324.75 mm, t=10.88, fy=735 MPa

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Fig. 13

Evolution of longitudinal tensile strains at the central buckle—inner pipe side, initial wrinkling imperfection 0.8%, Δϕ=±2.5ϕy, D=324.75 mm, t=10.88, fy=735 MPa

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Fig. 14

Local buckling of cyclically bent cylinder; 1% wrinkling imperfection

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Fig. 15

Initial imperfection effects on the number of cycles to buckling, D=324.75 mm, t=10.88, fy=735 MPa

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Fig. 16

Local buckling—FE results—0.1% initial wrinkle amplitude: Distribution of plastic deformation (a) M1 set (b) M2 set

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Fig. 17

Evolution of cross-sectional ovalization for symmetric cyclic bending; initial wrinkling imperfection 1%

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Fig. 18

Wrinkling imperfection effects on the buckling life for symmetric and nonsymmetric loading.

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Fig. 19

Evolution of cross-sectional ovalization for nonsymmetric cyclic bending; initial imperfection 1%

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