Analytical Universal Solution 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, Iran P.B. 1477893855

1Corresponding author.

ASME 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 point-wise data in spherically symmetric stress state. The robust least squares technique is utilized to minimize the deviation of 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 solutions considering different material models. Also the eigenstrains are inversely determined satisfying the equations of strain compatibility and a closed form analytical solution is presented.

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