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Fig 1.

Schematic diagram of the calibration process.

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Fig 1 Expand

Fig 2.

Schematic diagram of roller-shape.

Section Ⅰ: Loading section; Section Ⅱ: Ovality calibration section; Section Ⅲ: Ovality and straightness calibration section; Section Ⅳ: Ovality complement calibration section; Section Ⅴ: Unloading section.

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Fig 2 Expand

Fig 3.

Diagram of loading parameters.

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Fig 3 Expand

Fig 4.

Deformation path of particle along axial direction.

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Fig 4 Expand

Fig 5.

Deformation path of particle along circumferential direction.

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Fig 5 Expand

Fig 6.

Flow chart for formulating the calibration scheme.

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Fig 6 Expand

Fig 7.

Finite element model.

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Fig 7 Expand

Table 1.

Mechanical properties and geometric dimensions of pipes.

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Table 1 Expand

Table 2.

Geometric dimension of rollers.

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Table 2 Expand

Fig 8.

Experimental device for pipe calibration.

1. Screw 2. Lead screw drive 3. Servo motor 4. Support assembly 5. Push plate 6. Control cabinet 7. Pipe 8. Upper roller 9. Frame 10. Lower roller 11. Slider 12. Pedestal.

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Fig 8 Expand

Fig 9.

Distribution of equivalent stress along the one-third pipe.

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Fig 9 Expand

Fig 10.

Distribution of radial stress along the thickness direction.

a) Positive bending region; b) Reserve bending region.

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Fig 10 Expand

Fig 11.

Distribution of axial stress along the thickness direction.

a) Positive bending region; b) Reserve bending region.

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Fig 11 Expand

Fig 12.

Distribution of shear stress along the thickness direction.

a) Positive bending region; b) Reserve bending region.

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Fig 12 Expand

Fig 13.

Distribution of equivalent strain in the ovality calibration section.

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Fig 13 Expand

Fig 14.

Distribution of residual stress of 304 pipe after calibration.

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Fig 14 Expand

Fig 15.

Effect of the ratio of Vr to Vf on residual ovality and residual straightness.

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Fig 15 Expand

Fig 16.

Effect of radial reduction on residual ovality and residual straightness of pipes.

a) Residual ovality; b) Residual straightness; the times of reciprocating bending ψ is 50.

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Fig 16 Expand

Fig 17.

Effect of the times of reciprocating bending on residual ovality and residual straightness of pipes.

a) Residual ovality; b) Residual straightness; t = 2.0mm.

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Fig 17 Expand

Fig 18.

Forming effect of 304 stainless steel pipes.

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Fig 18 Expand