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      Modeling of the variability of fatigue crack growth using cohesive zone elements

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          Research highlights

          ► Cohesive zone elements allow to model fatigue crack initiation and growth. ► An algorithm reducing extensively the simulation time with little loss of accuracy was developed. ► The variability inherent in the fatigue life was assessed using a random field model. ► Both crack initiation and propagation are described by the same model.

          Abstract

          By its nature, metal fatigue has random characteristics, leading to extensive scatter in the results. Both initiation and propagation of a fatigue crack can be seen as random processes. This manuscript develops a numerical analysis using cohesive zone elements allowing the use of one single model in the finite element simulation of the complete fatigue life. The present formulation includes a damage evolution mechanism that reflects gradual degradation of the cohesive strength under cyclic loading. The uncertainties inherent to the fatigue process are assumed to be caused by the variability of the material properties, which are modeled using random fields. An extrapolation scheme is proposed to reduce the computational time. First, the accuracy of the proposed formulation is assessed considering a deterministic crack growth problem. Second, the effect of randomness in the material properties on the total fatigue life of a structure is then analyzed.

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          Most cited references 40

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          A Continuum Model for Void Nucleation by Inclusion Debonding

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            On the numerical integration of interface elements

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              The Relationship Between Stress and Strain for Homogeneous Deformation

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                Author and article information

                Journal
                Eng Fract Mech
                Eng Fract Mech
                Engineering Fracture Mechanics
                Pergamon Press
                0013-7944
                August 2011
                August 2011
                : 78
                : 12
                : 2399-2413
                Affiliations
                Institute of Engineering Mechanics, University of Innsbruck, Technikerstr. 13, 6020 Innsbruck, Austria
                Author notes
                [* ]Corresponding author. mechanik@ 123456uibk.ac.at
                Article
                EFM3539
                10.1016/j.engfracmech.2011.05.011
                3197331
                22049246
                © 2011 Elsevier Ltd.

                This document may be redistributed and reused, subject to certain conditions.

                Categories
                Article

                Mechanical engineering

                cohesive zone elements, monte carlo simulation, fatigue

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