Constitutive model for flake graphite cast iron automotive brake discs: induced anisotropic damage model under complex loadings

L Augustins (1, 2) , René Billardon (3) , François Hild (1)

1 LMT - Laboratoire de Mécanique et Technologie
2 PSA - PSA Peugeot - Citroën
3 SAFRAN Messier-Bugatti-Dowty

The present paper details an elasto-viscoplastic constitutive model for automotive brake discs made of flake graphite cast iron. In a companion paper, the authors proposed a one-dimensional setting appropriate for representing the complex behavior of the material (i.e. asymmetry between tensile and compres-sive loadings) under anisothermal conditions. The generalization of this 1D model to 3D cases on a volume element and the associated challenges are addressed. A direct transposition is not possible and an alternative solution without unilateral conditions is first proposed. Induced anisotropic damage and associated consti-tutive laws are then introduced. The transition from the volume element to the real structure and the numerical implementation requires a specific basis change. Brake disc simulations with this constitutive model show that unilateral conditions are needed for the friction bands. A damage deactivation procedure is therefore defined.

Domaines: Mécanique des matériaux [physics.class-ph]

L Augustins, René Billardon, François Hild. Constitutive model for flake graphite cast iron automotive brake discs: induced anisotropic damage model under complex loadings. Continuum Mechanics and Thermodynamics, 2016, 28, pp.1445 - 1460. ⟨10.1007/s00161-015-0487-5⟩. ⟨hal-01383893⟩