Comptes Rendus
Topology optimization in damage governed low cycle fatigue
Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 448-453.

Topology optimization is applied here to discuss an optimization problem of fatigue resistance. Fatigue lifetime is maximized by optimizing the shape of a structure in cyclic plasticity combined with Lemaitre damage law. The topology optimization algorithm is detailed. A 3D numerical example is given.

L'optimisation topologique est utilisée pour traiter un problème d'optimisation de résistance en fatigue. La durée de vie en fatigue est maximisée en optimisant la forme d'une structure en plasticité cyclique combinée à la loi d'endommagement de Lemaitre. L'algorithme d'optimisation est détaillé. Un exemple numérique 3D est présenté.

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Accepted:
Published online:
DOI: 10.1016/j.crme.2008.01.001
Keywords: Fatigue, Topology optimization, Low cycle fatigue
Mot clés : Fatigue, Optimisation topologique, Fatigue oligocyclique

Boris Desmorat 1, 2; Rodrigue Desmorat 3

1 IJLRdA, Université Paris 6 – Pierre-et-Marie-Curie – CNRS, 4, place Jussieu, case 161, 75252 Paris cedex 05, France
2 Université Paris-Sud 11, 91405 Orsay cedex, France
3 LMT, ENS Cachan – CNRS – Université Paris 6, 61, avenue du Président-Wilson, 94235 Cachan cedex, France
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Boris Desmorat; Rodrigue Desmorat. Topology optimization in damage governed low cycle fatigue. Comptes Rendus. Mécanique, Volume 336 (2008) no. 5, pp. 448-453. doi : 10.1016/j.crme.2008.01.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.01.001/

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[3] R. Desmorat Fast estimation of localized plasticity and damage by energetic methods, International Journal of Solids and Structures, Volume 39 (2002) no. 12, pp. 3289-3310

[4] J. Lemaitre; J.-L. Chaboche Mechanics of Solid Materials, Cambridge University Press, 1991

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[6] G. Allaire Shape Optimization by the Homogenization Method, Springer-Verlag, New York, 2002

[7] B. Desmorat; G. Duvaut Compliance optimization with nonlinear elastic materials: Application to constitutive laws dissymmetric in tension–compression, European Journal of Mechanics A/Solids, Volume 22 (2003) no. 2, pp. 179-192

[8] B. Desmorat Structural rigidity optimization with frictionless unilateral contact, International Journal of Solids and Structures, Volume 44 (2007) no. 3

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