Generalized equivalent temperature fields of thick walled pressure vessels

Excerpt

The determination of an equivalent temperature field which is equal to an autofrettage residual stress field is called as an inverse solution. In many practical cases, may be encountered with the external discontinuities as keyway grooves, holes and cracks, in the thick walled pressure vessels. In particularly, the approach of thermal loading analogy, in the stress analysis of the autofrettaged thick walled pressure vessels containing external discontinuities [1‐3] is frequently used. Perl [4] suggested a straightforward algorithm which can be used analytically or numerically in determining the equivalent temperature loading which is equal to any given autofrettage residual stress field, in a cylindrical pressure vessel. This study shows that, the equivalent temperature loading determined in [4], and the axisymmetric temperature field occurring due to steady-state heat conduction in the same cylinder, are equivalent. Recently, again Perl [5] developed a general procedure which can be used analytically or numerically in determining the equivalent temperature loading, for a spherical pressure vessel. In contrast to the cylindrical pressure vessel, in [5] is seen that the equivalent temperature loading of an autofrettaged thick walled sphere and the spherical symmetric temperature field occurring due to steady-state heat conduction, are not equivalent. …