IngentaConnect An Exponential Model for Damage Accumulation

Authors: Balakrishnan, Narayanaswamy¹; Castillo, Enrique²; Fernandez-Canteli, Alfonso³; Kateri, Maria⁴

Source: Communications in Statistics: Simulation and Computation, Volume 38, Number 2, February 2009 , pp. 215-232(18)

Publisher: Taylor and Francis Ltd

Abstract:

In this article, we present a general model for predicting the fatigue behavior for any stress level and amplitude using the exponential model. Based on the Wohler field for fixed stress level, a compatibility functional equation enables us to derive the general model with eight parameters. The problem of parameter estimation is then discussed and some methods are described. Some examples are finally presented to illustrate the derived model and the proposed methods of estimation.

Keywords: Constrained maximum likelihood method; Damage accumulation; Exponential model; Interpolation of fatigue results; Maximum likelihood method; Testing strategies; Wohler field

Document Type: Research article

DOI: 10.1080/03610910802454070

Affiliations: 1: Department of Mathematics and Statistics, McMaster University, Canada 2: Department of Applied Mathematics and Computational Sciences, University of Cantabria, Spain,Department of Applied Mathematics and Computational Sciences, University of Castilla-La Mancha, Spain 3: Department of Construction and Manufacturing Engineering, University of Oviedo, Spain 4: Department of Statistics and Insurance Science, University of Piraeus, Greece

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