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Research Papers: Design and Analysis

Residual Stress Analysis of the Autofrettaged Thick-Walled Tube Using Nonlinear Kinematic Hardening

[+] Author and Article Information
G. H. Farrahi

School of Mechanical Engineering,
Sharif University of Technology,
Tehran 11365-8639, Iran
e-mail: farrahi@sharif.edu

George Z. Voyiadjis

Department of Civil
and Environmental Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: voyiadjis@eng.lsu.edu

S. H. Hoseini

School of Mechanical Engineering,
Sharif University of Technology,
Tehran 11365–8639, Iran
e-mail: s.hamedhoseini@mech.sharif.edu

E. Hosseinian

Aerospace Engineering Department,
Shahid Sattari Aeronautical University
of Science and Technology,
Tehran, Iran
e-mail: ehosseinian@alum.sharif.edu

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received December 16, 2011; final manuscript received June 29, 2012; published online March 18, 2013. Assoc. Editor: Osamu Watanabe.

J. Pressure Vessel Technol 135(2), 021204 (Mar 18, 2013) (8 pages) Paper No: PVT-11-1225; doi: 10.1115/1.4007472 History: Received December 16, 2011; Revised June 29, 2012

Recent research indicates that accurate material behavior modeling plays an important role in the estimation of residual stresses in the bore of autofrettaged tubes. In this paper, the material behavior under plastic deformation is considered to be a function of the first stress invariant in addition to the second and the third invariants of the deviatoric stress tensor. The yield surface is assumed to depend on the first stress invariant and the Lode angle parameter which is defined as a function of the second and the third invariants of the deviatoric stress tensor. Furthermore for estimating the unloading behavior, the Chaboche's hardening evolution equation is modified. These modifications are implemented by adding new terms that include the effect of the first stress invariant and pervious plastic deformation history. For evaluation of this unloading behavior model a series of loading-unloading tests are conducted on four types of test specimens which are made of the high-strength steel, DIN 1.6959. In addition finite element simulations are implemented and the residual stresses in the bore of a simulated thick-walled tube are estimated under the autofrettage process. In estimating the residual stresses the effect of the tube end condition is also considered.

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Figures

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Fig. 1

(a) The smooth round bar, (b) the notched round bar with medium notch radius, (c) the notched round bar with sharp notch radius, and (d) the doubly-grooved plate

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Fig. 2

The change of Young's modulus versus the accumulated plastic strain in tension

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Fig. 3

The effect of damage and kinematic hardening corrections on the numerical results

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Fig. 4

The force–displacement response of the smooth round bar in loading-unloading process for different prestrain levels

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Fig. 5

The force–displacement response of (a) the medium notch radius specimen, (b) the sharp notch radius specimen, and (c) the doubly-grooved plate in loading-unloading process for different prestrain level

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Fig. 6

The relation between the autofrettage pressure versus autofrettage percentage for different tube ends condition

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Fig. 7

The effect of the damage and kinematic hardening corrections on the hoop residual stresses distribution

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Fig. 8

The effect of the tube ends condition on the residual stresses distribution

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Fig. 9

The distribution of the residual stresses at the thick-walled tube with different autofrettage percentage

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