{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T04:33:25Z","timestamp":1762144405389},"reference-count":25,"publisher":"ASME International","issue":"2","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2005,5,1]]},"abstract":"<jats:p>In this paper, a fatigue model formulated in the framework of the continuum damage mechanics (CDM) is presented. The model is based on an explicit definition of fatigue damage and introduces a kinematic damage differential equation formulated directly as a function of the number of cycles and the stress cycle parameters. The model is initially presented for uniaxial problems, which facilitates the identification of its constants. An extension of the fatigue model to multiaxial problems is also proposed. This model was implemented in a nonlinear finite element code in conjunction with a constitutive model for cyclic plasticity. The cyclic plasticity model considered is based on a J2-plasticity theory with nonlinear isotropic and kinematic hardenings. In order to enhance the description of the cyclic elastoplastic behavior, the superposition of several nonlinear kinematic hardening variables is suggested. Both fatigue and plasticity models are identified for the P355NL1 (TStE355) steel. Finally, the numerical model is used to predict the fatigue crack initiation for a welded nozzle-to-plate connection, made of P355NL1 steel, and results are compared with experimental fatigue data.<\/jats:p>","DOI":"10.1115\/1.1858927","type":"journal-article","created":{"date-parts":[[2005,6,2]],"date-time":"2005-06-02T17:08:15Z","timestamp":1117732095000},"page":"157-164","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":16,"title":["Finite Element Modeling of Fatigue Damage Using a Continuum Damage Mechanics Approach"],"prefix":"10.1115","volume":"127","author":[{"given":"Ab\u0131\u00b4lio M. P.","family":"De Jesus","sequence":"first","affiliation":[{"name":"Engineering Department\u2014Mechanical Engineering, University of Tra\u00b4s-os-Montes and Alto Douro, Quinta de Prados, 5000-911 Vila Real, Portugal"}]},{"given":"Alfredo S.","family":"Ribeiro","sequence":"additional","affiliation":[{"name":"Engineering Department\u2014Mechanical Engineering, University of Tra\u00b4s-os-Montes and Alto Douro, Quinta de Prados, 5000-911 Vila Real, Portugal"}]},{"given":"Anto\u00b4nio A.","family":"Fernandes","sequence":"additional","affiliation":[{"name":"Rua Dr. Roberto Frias, 4200-Porto, Portugal University of Porto\u2014Faculty of Engineering"}]}],"member":"33","published-online":{"date-parts":[[2005,5,27]]},"reference":[{"key":"2019100318364685400_r1","unstructured":"Suresh, S., 1998, Fatigue of Materials, 2nd ed., Cambridge University Press, Cambridge."},{"key":"2019100318364685400_r2","unstructured":"Stephens, R. I., Fatemi, A., Stephens, R. R., and Fuchs, O. 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