Hybrid micromechanical-phenomenological modelling of anisotropic damage and anelasticity induced by micro-cracks in unidirectional composites

Francis Praud (1, 2) , Georges Chatzigeorgiou (1) , Yves Chemisky (1) , Fodil Meraghni (1)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 IRT Jules Verne - Institut de Recherche Technologique Jules Verne [Bouguenais]

In this paper, a new modelling approach is presented to describe the damaged mechanical response of unidirectional composites under the small strain assumption. The proposed constitutive equations inherits from the phenomenological theories of Continuum Damage Mechanics (CDM) but brings out a micromechanical description of the damaged Representative Volume Element (RVE) while being formulated in a proper thermodynamical framework. The model is provided with an implicit numerical scheme based on the so-called ”return mapping algorithm” as well as the formulation of the tangent operator. The identification and the prediction capabilities of the model are validated using experimental data including off-axis tensile tests. Finally, to provide a better understanding of the model, a multi-axial non-proportional simulation is performed and analysed.

Mots clés: Anisotropic damage; Non-linear behaviour; Micromechanics; Implicit implementation; Unidirectional composites

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

Francis Praud, Georges Chatzigeorgiou, Yves Chemisky, Fodil Meraghni. Hybrid micromechanical-phenomenological modelling of anisotropic damage and anelasticity induced by micro-cracks in unidirectional composites. Composite Structures, 2017, 182, pp.223-236. ⟨10.1016/j.compstruct.2017.09.013⟩. ⟨hal-01634479⟩