# Life Prediction Model for High-Cycle and Very-High-Cycle Fatigue of Ti-6Al-4V Titanium Alloy Under Symmetrical Loading

## TL;DR

This paper develops a life prediction model for Ti-6Al-4V titanium alloy under high-cycle and very-high-cycle fatigue, improving accuracy for aerospace applications.

## Contribution

A novel nonlinear cumulative damage model with sensitivity analysis is proposed for predicting titanium alloy fatigue life beyond traditional limits.

## Key findings

- The nonlinear model accurately fits high-cycle and very-high-cycle fatigue test data for Ti-6Al-4V.
- Incorporating plastic strain energy and internal stress parameters improves prediction accuracy.
- Model parameter optimization reduced prediction error from 59% to 38%.

## Abstract

The Ti-6Al-4V alloy is a typical α + β type titanium alloy and is widely used in the manufacture of aero-engine fans, compressor discs and blades. The working life of modern aero-engine components is usually required to reach more than 108 cycles, which makes the infinite life design based on the traditional fatigue limit unsafe. In this study, through symmetrical loading high-cycle fatigue tests on Ti-6Al-4V titanium alloy, a nonlinear cumulative damage life prediction model was established. Further very-high-cycle fatigue tests of titanium alloys were carried out. The variation law of plastic strain energy in the evolution process of very-high-cycle fatigue damage of titanium alloy materials was described by introducing the internal stress parameter. A prediction model for the very-high-cycle fatigue life of titanium alloys was established, and the sensitivity analysis of model parameters was carried out. The results show that the established high-cycle/very-high-cycle fatigue models can fit the test data well. Moreover, based on the optimized model parameters through sensitivity analysis, the average error of the prediction results has decreased from 59% to 38%. The research aims to provide a model or method for predicting the engineering life of titanium alloys in the high-cycle/very-high-cycle range.