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

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Abstract

The present paper details an elasto-viscoplastic constitutive model for automotive brake discs made of flake graphite cast iron. In a companion paper (Augustins et al. in Contin Mech Thermodyn, 2015), the authors proposed a one-dimensional setting appropriate for representing the complex behavior of the material (i.e., asymmetry between tensile and compressive 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 constitutive laws are then introduced. The transition from the volume element to the real structure and the numerical implementation require 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.

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Authors and Affiliations

  1. PSA Peugeot Citroën, Route de Gisy, 78943, Velizy-Villacoublay Cedex, France

    L. Augustins

  2. Messier-Bugatti-Dowty, Inovel Parc Sud, 78140, Vélizy-Villacoublay, France

    R. Billardon

  3. LMT Cachan, ENS Cachan/CNRS/University Paris Saclay, 61 avenue du président Wilson, 94235, Cachan Cedex, France

    F. Hild

Authors
  1. L. Augustins
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  2. R. Billardon
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  3. F. Hild
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Correspondence to F. Hild.

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Communicated by Andreas Öchsner.

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Augustins, L., Billardon, R. & Hild, F. Constitutive model for flake graphite cast iron automotive brake discs: induced anisotropic damage model under complex loadings. Continuum Mech. Thermodyn. 28, 1445–1460 (2016). https://doi.org/10.1007/s00161-015-0487-5

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