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
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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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