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Fast computation of critical planes for fatigue life analysis of metals
Bastien Agard1 ; Landry Giraud2 ; Françoise Fauvin3 ; Jean-Christophe Roux4 ; Pierre Monnet5 ; Eric Feulvarch4 
1 ESI Group, Le Récamier, 70 Rue Robert, 69458 Lyon Cedex 06, France
2 TRA-C industrie, ZAC les Olmes, 69490 Vindry-sur-Turdine, France
3 Univ Lyon, Ecole Centrale de Lyon, LTDS UMR 5513 CNRS, 58 rue Jean Parot, 42023 Saint-Etienne cedex 02, France
4 Univ Lyon, Ecole Centrale de Lyon, LTDS UMR 5513 CNRS, 58 rue Jean Parot, 42023 Saint-Etienne cedex 02, France
5 Haulotte Group, Rue Emile Zola, 42420 Lorette, France
Comptes Rendus. Mécanique, Volume 350 (2022), pp. 495-506.

The main objective of this paper is to propose an efficient computational strategy for critical plane type approaches dedicated to the fatigue life analysis of metals. The formulation developed consists in determining the critical planes in the space of the strain or stress tensors describing the mechanical history. To the authors’ knowledge, such an approach has never been reported before in the literature. Thus, the new numerical method developed avoids scanning all the possible planes as standard approaches. As shown in the examples proposed, this particularity allows decreasing the CPU time: from 20 days by scanning planes to 10 min for the FEM analysis of a welded structure with the criterion of Fatemi and Socie.

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DOI : 10.5802/crmeca.139
Mots clés : Shear amplitude, Critical planes, Fatigue analysis, Tresca norm, Finite element
Bastien Agard 1 ; Landry Giraud 2 ; Françoise Fauvin 3 ; Jean-Christophe Roux 4 ; Pierre Monnet 5 ; Eric Feulvarch 4

1 ESI Group, Le Récamier, 70 Rue Robert, 69458 Lyon Cedex 06, France
2 TRA-C industrie, ZAC les Olmes, 69490 Vindry-sur-Turdine, France
3 Univ Lyon, Ecole Centrale de Lyon, LTDS UMR 5513 CNRS, 58 rue Jean Parot, 42023 Saint-Etienne cedex 02, France
4 Univ Lyon, Ecole Centrale de Lyon, LTDS UMR 5513 CNRS, 58 rue Jean Parot, 42023 Saint-Etienne cedex 02, France
5 Haulotte Group, Rue Emile Zola, 42420 Lorette, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Bastien Agard and Landry Giraud and Fran\c{c}oise Fauvin and Jean-Christophe Roux and Pierre Monnet and Eric Feulvarch},
     title = {Fast computation of critical planes for fatigue life analysis of metals},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {495--506},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {350},
     year = {2022},
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     language = {en},
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Bastien Agard; Landry Giraud; Françoise Fauvin; Jean-Christophe Roux; Pierre Monnet; Eric Feulvarch. Fast computation of critical planes for fatigue life analysis of metals. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 495-506. doi : 10.5802/crmeca.139. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.139/

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[12] L. Giraud Apports au dimensionnement en fatigue à faible nombre de cycles des assemblages soudés en S355, Ph. D. Thesis, Univ. Lyon (2020) (in French)

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