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Research Papers: Design and Analysis

General Variable Material Property Formulation for the Solution of Autofrettaged Thick-Walled Tubes With Constant Axial Strains

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

School of Mechanical Engineering, Sharif University of Technology, Tehran 11365-8639, Iranfarrahi@sharif.edu

E. Hosseinian

School of Mechanical Engineering, Sharif University of Technology, Tehran 11365-8639, Iranehs@mehr.sharif.edu

A. Assempour

School of Mechanical Engineering, Sharif University of Technology, Tehran 11365-8639, Iranassem@sharif.edu

J. Pressure Vessel Technol 130(4), 041209 (Sep 19, 2008) (7 pages) doi:10.1115/1.2973239 History: Received February 21, 2006; Revised May 16, 2006; Published September 19, 2008

In this paper a general variable material property (VMP) formulation for the solution of thick-walled tubes with constant axial strains was developed and compared with the alternative VMP method that is called the Hencky program. The VMP method was initially developed for the analysis of plane stress and plane strain states. However, the actual autofrettage process is under constant axial strain, i.e., open-end and closed-end conditions. Results indicate very good agreement with the Hencky program. Our method is simple, accurate, and very efficient, so that the number of iterations for convergence reduces approximately to one-tenth of Hencky program iterations. The solution algorithm for plane strain, open-end, and closed-end conditions is the same.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Cross section of tube: (a) pressurized tube and (b) an isolated strip

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Figure 2

Residual hoop stresses for the open-end condition of tubes

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Figure 3

Residual hoop stresses for the closed-end condition of tubes

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Figure 4

Residual hoop stresses for the plane strain condition of tubes

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Figure 5

Pressures at the autofrettage peak for plane strain, open-end, and closed-end conditions, b∕a=2. Results normalized using Eq. 34.

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Figure 6

Hoop residual stress profile for b∕a=2 with 60% and 90% overstrains for open-end condition.

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Figure 7

Axial residual stress profile for b∕a=2 with 60% and 90% overstrains for open-end condition

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Figure 8

OD hoop strain values at the autofrettage peak for plane strain, open-end, and closed-end conditions.

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