Description of Residual Stresses in Autofrettaged Open-Ended Cylinders Made of High-Strength Steel.

Sergei Alexandrov,Elena Lyamina,Jong-Ning Aoh,Yeau-Ren Jeng

doi:10.3390/ma13132940

Abstract

The elastic range in loading–unloading processes is often reduced with a Bauschinger effect. This material property may have a high impact on residual stresses and, as a result, on the performance of autofrettaged cylinders under service conditions. The objective of the present paper is to demonstrate this impact using a material model that accounts for the response of typical high-strength steel. The solution is semi-analytic and, therefore, can be used for fast and accurate analysis of the process of autofrettage. A numerical example illustrates the general solution. This example shows that the Bauschinger effect has a significant impact on the residual circumferential stress in the vicinity of the inner radius of the cylinder. This stress is the most significant quantity of autofrettaged cylinders. Therefore, the main result obtained suggests that even a moderate Bauschinger effect should be taken into account in analyses of the process of autofrettage.

Highlights

The elastic range in loading–unloading processes is often reduced with a Bauschinger effect
This material property has a substantial impact on the distribution of stresses in autofrettaged cylinders
Analysis of the autofrettage of open-ended cylinders made of high-strength steel under plane stress conditions needs a more general model that predicts the perfectly plastic behavior of the material at loading and accounts for the Bauschinger effect at unloading

Summary

Introduction

The elastic range in loading–unloading processes is often reduced with a Bauschinger effect. Analysis of the autofrettage of open-ended cylinders made of high-strength steel under plane stress conditions needs a more general model that predicts the perfectly plastic behavior of the material at loading and accounts for the Bauschinger effect at unloading. Such a material model has been proposed in [9]. The of the for materials the stage that of unloading solving anhave ordinary and objective transcendental present research is rather to develop a simple theory of autofrettage of open-ended cylinders made equations numerically. The mainand result obtained suggests that even a moderate Bauschinger effect should

Statement of the Problem

Solution at Loading

Stress Solution at Unloading

A A 2 1

Distribution

Conclusions