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An Exponential Model for Damage Accumulation
Authors:Narayanaswamy Balakrishnan  Enrique Castillo  Alfonso Fernández-Canteli
Affiliation:1. Department of Mathematics and Statistics , McMaster University , Canada;2. Department of Applied Mathematics and Computational Sciences , University of Cantabria , Spain;3. Department of Applied Mathematics and Computational Sciences , University of Castilla-La Mancha , Spain;4. Department of Construction and Manufacturing Engineering , University of Oviedo , Spain
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 Wöhler 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  Wöhler field
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