Abstract
Autofrettage is a widely used process to enhance the fatigue life of holes. In the theoretical investigation presented in this article, a semi-analytic solution is derived for a polar, orthotropic, open-ended cylinder subjected to internal pressure, followed by unloading. Numerical techniques are only necessary to solve a linear differential equation and evaluate ordinary integrals. The generalized Hooke’s law connects the elastic portion of strain and stress. The flow theory of plasticity is employed. Plastic yielding is controlled by the Tsai–Hill yield criterion and its associated flow rule. It is shown that using the strain rate compatibility equation facilitates the solution. The general solution takes into account that elastic and plastic properties can be anisotropic. An illustrative example demonstrates the effect of plastic anisotropy on the distribution of stresses and strains, including residual stresses and strain, for elastically isotropic materials.
Highlights
High-pressure vessels are often autofrettaged to improve their performance under service conditions
A new theoretical solution for the distribution of residual stresses and strains in an open-ended, thick-walled cylinder subjected to internal pressure followed by unloading has been proposed
Thick-walled cylinder subjected to internal pressure followed by unloading has been proposed
Summary
High-pressure vessels are often autofrettaged to improve their performance under service conditions. The earliest attempt on a strict mathematical theory of the autofrettage process appears to have been in [1], where the plane strain condition has been considered assuming an elastic, perfectly plastic material model. This theory has been extended to closed-end tubes in [2]. The effect of plastic anisotropy on stress and strain fields in rotating discs has been studied in [34,35,36,37,38,39], using different material models and boundary conditions. A numerical technique is only necessary to solve a linear differential equation and evaluate ordinary integrals
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