Article Dans Une Revue Revue Européenne des Éléments Finis Année : 2012

Consistent tangent matrices of curved contact operators involving anisotropic friction

Pierre Alart
Andreas Heege
  • Fonction : Auteur

Résumé

Contact problems involving friction are difficult to solve because they are governed by multivalued tribological laws. Using a mixed penalty-duality formulation, a generalized Newton method has proved to be efficient. In order to introduce new non-linearities like anisotropic friction and curvature of the contact surface, appropriate tangent matrices have to be derived. The additional terms are discussed and algorithms are proposed when analytical expressions are not available. Two numerical tests are presented to show the performance of the generalized Newton method.

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Dates et versions

hal-05002058 , version 1 (22-03-2025)

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Pierre Alart, Andreas Heege. Consistent tangent matrices of curved contact operators involving anisotropic friction. Revue Européenne des Éléments Finis, 2012, 4 (2), pp.183-207. ⟨10.1080/12506559.1995.10511173⟩. ⟨hal-05002058⟩
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