Damaged Prediction Method for A Mechanical Structure on Random Load

Sakai M and Yukinao AM

Published on: 2025-05-11

Abstract

In this paper, a simplified computational model is utilized to derive a straightforward mathematical formula that allows for a rapid estimation of the stress concentration fac-tor in regions susceptible to fatigue failure. This formula serves as a valuable tool for engineers and researchers by providing a quick and efficient means of assessing stress concentration without the need for complex numerical simulations or extensive exper-imental testing. Additionally, the derived formula facilitates the development of a novel relationship that links the product of stress and strain concentration factors. This relationship provides deeper insights into the mechanical behavior of materials under cyclic loading conditions, offering a more comprehensive understanding of how stress and strain concentrations interact in fatigue-prone regions. An important finding of this study is that the magnitude of the product of stress and strain concentration fac-tors is not constant but varies depending on the amplitude of the applied stress level. This dependency highlights the need for careful consideration of stress amplitudes in fatigue analysis and component design. The insights gained from this research con-tribute to the advancement of predictive models for fatigue failure, ultimately enhanc-ing the reliability and durability of structural components subjected to repeated load-ing conditions.

Keywords

Stress concentration factor; Fatigue failure; Amplitude stress level; Brit-tle and ductile materials

Introduction

The estimation of stress concentration factors is a critical aspect of structural integrity assessments, particularly in the context of fatigue failure in engineering components subjected to cyclic loading. The accurate prediction of stress distribution in regions experiencing elastic-plastic strain is essential for designing durable and reliable mechanical systems. Traditionally, empirical methods have been utilized to estimate fatigue stress concentration factors by leveraging known relationships between fatigue stress and strain concentration factors. However, these methods often suffer from limitations, including discrepancies between calculated and actual values, as well as significant time consumption. Such inconsistencies reduce their reliability, necessitating the development of a more precise and efficient approach for stress concentration estimation.

This paper presents an improved computational model that derives a simplified formula for estimating the stress concentration factor in regions where elastic-plastic strain dominates. Additionally, a novel relationship between stress and strain concentration factors is established, considering the amplitude stress level. By refining the traditional Neuber’s rule, this approach offers enhanced accuracy in determining the local stress and strain values in notched specimens, contributing to more reliable fatigue life predictions.

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