{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T12:48:37Z","timestamp":1753879717707,"version":"3.41.2"},"reference-count":15,"publisher":"ASME International","issue":"6","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2011,12,1]]},"abstract":"<jats:p>Although intensive research has been carried out to understand the fatigue behavior of steel notched components, under variable amplitude loading, no definite and general robust models have been derived so far. Therefore, every effort to augment the knowledge in this topic is welcomed. Within this context, existing variable amplitude data, derived by the authors for a notched low carbon pressure vessel steel (P355NL1) flat plate, is used to assess a local approach to fatigue. A linear damage summation framework, supported by elastoplastic finite element analyses, is used. Several variable amplitude loadings were selected and analyzed, using alternative configurations of kinematic hardening plasticity models (e.g., Chaboche\u2019s model with distinct constants superposition). The predictions are assessed using available experimental data and data derived with simplified empirical elastoplastic tools. This paper highlights the difficulties of performing such elastoplastic analysis and compares the obtained results with those obtained using more classical tools for elastoplastic analysis (Glinka and Seeger\u2013Heuler). It was found that fatigue predictions based on an elastoplastic finite element analysis, made using the Chaboche\u2019s model, were significantly more accurate than predictions based on simplified elastoplastic analysis. These results have important practical relevance.<\/jats:p>","DOI":"10.1115\/1.4004617","type":"journal-article","created":{"date-parts":[[2011,10,20]],"date-time":"2011-10-20T22:03:54Z","timestamp":1319148234000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":3,"title":["Fatigue Modeling of a Notched Flat Plate Under Variable Amplitude Loading Supported by Elastoplastic Finite Element Method Analyses"],"prefix":"10.1115","volume":"133","author":[{"given":"H\u00e9lder F. S. G.","family":"Pereira","sequence":"first","affiliation":[{"name":"UCVE, IDMEC \u2013 P\u00f3lo FEUP, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]},{"given":"Ab\u00edlio M. P.","family":"De Jesus","sequence":"additional","affiliation":[]},{"given":"Alfredo S.","family":"Ribeiro","sequence":"additional","affiliation":[{"name":"UCVE-IDMEC\/School of Science and Technology, University of Tr\u00e1s-os-Montes and Alto Douro, Quinta de Prados, 5001-801 Vila Real, Portugal"}]},{"given":"Ant\u00f3nio A.","family":"Fernandes","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]}],"member":"33","published-online":{"date-parts":[[2011,10,20]]},"reference":[{"key":"2019100520282004200_c1","unstructured":"European Committee for Standardization, 2002, \u201cEN 13445: Unfired Pressure Vessels,\u201d European Standard, Brussels."},{"key":"2019100520282004200_c2","first-page":"A159","article-title":"Cumulative Damage in Fatigue","volume":"67","author":"Miner","journal-title":"ASME J. Appl. Mech."},{"issue":"2","key":"2019100520282004200_c3","doi-asserted-by":"publisher","first-page":"021407","DOI":"10.1115\/1.3066774","article-title":"Fatigue Damage Behavior of a Structural Component Made of P355NL1 Steel Under Block Loading","volume":"131","author":"Pereira","journal-title":"ASME J. Pressure Vessel Technol."},{"key":"2019100520282004200_c4","doi-asserted-by":"publisher","first-page":"051402","DOI":"10.1115\/1.3147986","article-title":"Analysis of Variable Amplitude Fatigue Data of the P355NL1 Steel Using the Effective Strain Damage Model","volume":"131","author":"Pereira","journal-title":"ASME J. Pressure Vessel Technol."},{"key":"2019100520282004200_c5","unstructured":"Pereira, H. F. G. S. , 2006, \u201cFatigue Behaviour of Structural Components Under Variable Amplitude Loading,\u201d M.Sc. thesis, FEUP, Porto, Portugal (in Portuguese)."},{"key":"2019100520282004200_c6","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1520\/STP43764S","article-title":"Cyclic Plastic Strain Energy and Fatigue of Metals","volume":"378","author":"Morrow","journal-title":"Int. Friction, Damping Cyclic Plasticity, ASTM STP"},{"issue":"3","key":"2019100520282004200_c7","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1016\/0013-7944(85)90148-1","article-title":"Energy Density Approach to Calculation of Inelastic Strain-Stress Near Notches and Cracks","volume":"22","author":"Glinka","journal-title":"Eng. Fract. Mech."},{"issue":"4","key":"2019100520282004200_c8","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1520\/JTE11613J","article-title":"Generalised Application of Neuber\u2019s Rule","volume":"8","author":"Seeger","journal-title":"J. Test. Eval."},{"key":"2019100520282004200_c9","unstructured":"Swanson Analysis Systems, Inc., 2010, ansys, Houston, version 12.1."},{"key":"2019100520282004200_c10","unstructured":"Ramberg, W., and Osgood, W. R., 1943, \u201cDescription of the Stress-Strain Curves by the Three Parameters,\u201d NACA Technical Note No. 902."},{"issue":"3","key":"2019100520282004200_c11","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1115\/1.2217961","article-title":"Low Cycle Fatigue and Cyclic Elastoplastic Behaviour of the P355NL1 Steel","volume":"128","author":"De Jesus","journal-title":"ASME J. Pressure Vessel Technol."},{"key":"2019100520282004200_c12","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1111\/j.1475-1305.2007.00389.x","article-title":"Analysis of Fatigue Damage Under Block Loading in a Low Carbon Steel","volume":"44","author":"Pereira","journal-title":"Strain"},{"key":"2019100520282004200_c13","doi-asserted-by":"crossref","unstructured":"De Jesus, A. M. P. , 2004, \u201cValidation of Procedures for Fatigue Assessment of Pressure Vessels,\u201d Ph.D. thesis, UTAD, Portugal (in Portuguese).","DOI":"10.1111\/j.1460-2695.2004.00794.x"},{"key":"2019100520282004200_c14","first-page":"293","article-title":"Notch Sensitivity","volume-title":"Metal Fatigue","author":"Peterson"},{"issue":"3","key":"2019100520282004200_c15","doi-asserted-by":"publisher","first-page":"034503","DOI":"10.1115\/1.2965904","article-title":"Cyclic Elastoplastic Analysis of Structures Concerning a Fatigue Assessment According to the Local Strain Approach: An Overview","volume":"130","author":"De Jesus","journal-title":"ASME J. 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