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Research Papers: Design and Analysis

Analytical Approach for Inverse Reconstruction of Eigenstrains and Residual Stresses in Autofrettaged Spherical Pressure Vessels

[+] Author and Article Information
S. Ali Faghidian

Department of Mechanical and
Aerospace Engineering,
Science and Research Branch,
Islamic Azad University,
Tehran 19166, Iran
e-mail: Faghidian@Gmail.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received December 29, 2015; final manuscript received January 12, 2017; published online April 21, 2017. Assoc. Editor: Albert E. Segall.

J. Pressure Vessel Technol 139(4), 041202 (Apr 21, 2017) (7 pages) Paper No: PVT-15-1286; doi: 10.1115/1.4035980 History: Received December 29, 2015; Revised January 12, 2017

The stress function approach is revisited for the inverse determination of residual stresses and eigenstrains from limited pointwise data in spherically symmetric stress state. The robust least squares technique is utilized to minimize the deviation of the measurement data from the model predictions while a full range of continuum mechanics requirements are satisfied. The application of the newly proposed spherical stress function is effectively demonstrated for two cases of analytical and numerical solutions considering different material behavior models. Also, the eigenstrains are inversely determined satisfying the equation of strain compatibility and a closed form analytical solution is presented.

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References

Figures

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Fig. 1

Reconstructed residual stresses, selected measurements, and the results of the Reuss analytical solution [20] for 45% overstrain

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Fig. 2

Reconstructed eigenstrain distribution compared to the equivalent plastic strain profile

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Fig. 3

Reconstructed residual stresses, selected measurements, and the results of the VMP numerical solution [4] for HB7 steel

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Fig. 4

Reconstructed eigenstrains distribution for the VMP results of HB7 steel

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