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Research Papers: Materials and Fabrication

Bauschinger Effect Prediction in Thick-Walled Autofrettaged Cylindrical Pressure Vessels

[+] Author and Article Information
V. Bastun

Department of Fracture Mechanics of Materials,
S.P. Timoshenko Institute of Mechanics,
National Academy of Sciences of Ukraine,
Nesterov Street, 3,
Kyiv 03057, Ukraine
e-mail: fract@inmech.kiev.ua

I. Podil'chuk

Department of Fracture Mechanics of Materials,
S.P. Timoshenko Institute of Mechanics,
National Academy of Sciences of Ukraine,
Nesterov Street, 3,
Kyiv 03057, Ukraine
e-mail: ipodil@voliacable.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 7, 2016; final manuscript received March 31, 2017; published online April 21, 2017. Assoc. Editor: Kunio Hasegawa.

J. Pressure Vessel Technol 139(4), 041404 (Apr 21, 2017) (6 pages) Paper No: PVT-16-1106; doi: 10.1115/1.4036426 History: Received July 07, 2016; Revised March 31, 2017

The paper addresses the Bauschinger effect under complex stress state in materials with deformation-induced anisotropy whose strain hardening is described by the isotropic–kinematic (translational) type hardening hypothesis. The Bauschinger effect is analyzed using the model based on the yield surface conception and graphical–analytical method of construction of constitutive equations under complex loading. As an example, cylindrical pressure vessels with closed and open ends subjected to autofrettage are considered. The tension–compression Bauschinger effect in the axial and hoop directions as well as the Bauschinger effect under reversed torsion with respect to the longitudinal axis is determined. The role of such factors as the level of prestraining under autofrettage, relation between isotropic and kinematic components of the strain hardening, and chemical composition of the material is analyzed. The results obtained are presented in the form of plots.

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Figures

Grahic Jump Location
Fig. 2

Tension–compression BEF values in axial (1) and hoop (2) directions and the BEF values in torsion with respect to the longitudinal axis (3) as the functions of the effective plastic strain εep (solid lines refer to kinematic strain hardening and dashed lines—to isotropic–kinematic hardening)

Grahic Jump Location
Fig. 1

Stress–strain diagrams for the cylinder material under uniaxial tension in axial and hoop directions and under torsion with respect to the longitudinal axis (denoted by 1, 2, and 3, respectively)

Grahic Jump Location
Fig. 3

Functions ΔR(εep) and a(εep) for ferritic–pearlitic steels with different carbon contents (signs Ο, ▴, Δ, ×, and • refer to a low-carbon steel and steels with the carbon content 0.2%, 0.4%, 0.6%, and 0.65%, respectively)

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