Weibull Regression Analysis of Filtered Surface Roughness Data and Strain Prediction in a Metallic Alloy

Published

July 1, 2011

Author(s)

Joseph B. Hubbard, Mark R. Stoudt, Antonio Possolo

Abstract

We fit a two-parameter Weibull regression (WR) model by maximum likelihood estimation (MLE) to filtered surface roughness data. These data were acquired by scanning confocal laser microscopy performed on aluminum alloy AA5754-O surfaces that were subjected to a range of plastic strain intensities in different three in-plane strain modes. Noting that one of the two WR parameters is, to a good approximation, invariant with strain intensity for a given strain mode, we find that the variation of the second parameter with strain intensity conforms to a simple quadratic form. These forms may then be used to create accurate, single parameter predictors of both strain mode and strain intensity up to and including the onset of critical strain localization and/or failure.

Citation

Materials Science and Technology

Volume

27

Issue

7

Pub Type

Journals

Download Paper

https://doi.org/10.1179/026708310x12701149768179

Local Download

Keywords

Strain localization modeling, Strain mode, Scanning laser confocal microscopy, 3-D characterization, Weibull statistics, Metal forming

Citation

Hubbard, J. , Stoudt, M. and Possolo, A. (2011), Weibull Regression Analysis of Filtered Surface Roughness Data and Strain Prediction in a Metallic Alloy, Materials Science and Technology, [online], https://doi.org/10.1179/026708310x12701149768179, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=901996 (Accessed October 18, 2025)