ISO12107

Statistical analysis of experimental fatigue data to define mean and characteristic parameters of linear fatigue model based on ISO 12107

ISO 12107: Metallic materials - Fatigue testing - Statistical planning and analysis of data

This function is prepared to analyse experimental fatigue data defining a mean curve for a linear fatigue model based on linear regression:

y = Ax + B

It also computes a characteristic value of the linear fatigue model corresponding to a probaprobability of failure (p) for the population at a confidence level (conf) and for a number of degrees of freedom (v) using the equation:

y = Ax + B - k * strdd

The correction term to the estimated standard deviation is neglected.

INPUTS:

p - prabability of failure [-]

conf - confidence level [-]

cycles - experimental data: number of cycles

damage_parameter - experimental data: damage parameter (stress,strain,etc.)

OUTPUTS:

A - Slope of linear fatigue model

B - Intersection of linear fatigue model with ordinate axis

r2 - Coefficient of determination

k(p,conf,v) - One-sided tolerance limit for a normal distribution

strdd - Standard deviation

detail_cat - Detail category

REFERENCES:

- International Organization for Standardization. ISO 12107: Metallic materials — Fatigue testing — Statistical planning ans analysis of

data, 2012.

- B. Pedrosa, J. Correia, C. Rebelo and M. Veljkovic, Reliability of Fatigue Fatigue Strength Curves for Riveted Connections Using Normal and Weibull Distribution Functions, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, vol. 6, no. 3, (2020), https://doi.org/10.1061/AJRUA6.0001081

- B. Pedrosa, J. Correia, C. Rebelo, M. Veljkovic and H. Gervásio, Fatigue Experimental Characterization of Preloaded Injection Bolts in a Metallic Bridge Strengthening Scenario, Engineering Structures, vol. 234, 112005 (2021), https://doi.org/10.1016/j.engstruct.2021.112005

- Witkovsky V. ToleranceFactor https://www.mathworks.com/matlabcentral/fileexchange/24135-tolerancefactor

File Exchange. Retrieved May 12, 2023.

Developed by Bruno Pedrosa

ISISE - Institute for Sustainability and Innovation in Structural Engineering

Department of Civil Engineering

University of Coimbra

Portugal

Bruno Pedrosa ([e-mail])

Ver.: 15-May-2023