Stratégie de couplage expérimentation/modélisation dans les matériaux hétérogènes. Identification de propriétés mécaniques locales

Abstract : The development of identification methods of material constitutive equation parameters has become fundamental to completely know the mechanical behavior. Indeed, optical methods, such as Digital Image Correlation, allows to get kinematics quantities of the constitutive equation as vectors fields. But, stresses are usually not available experimentally and one has to identify constitutive equation parameters to compute them. Several methods have been developed and answer to that problematic but most of them suppose the materials as homogeneous. This memoir is about the application of some of these methods, such as the equilibrium gap method (EGM) and the finite element model updating method (FEMU), in the case of heterogeneous materials with complex structures where mechanical properties vary spatially in the volume. The objective is to identify these local mechanical properties which rule the measured kinematics of such materials considering the isotropic linear elasticity. Firstly, both methods are detailed, implemented and compared on 2D simulated cases. The FEMU method is preferred because it is more robust in the presence of noisy data. Based on an iterative process, a parallelisation of the algorithm is achieved in order to reduce the cost of the method. In-plane experiments on polyurethane samples where heterogeneities are controlled have validated the method. Finally, two 3D applications on a polyurethane foam material and a wood-based fibrous composite have demonstrated the interest of this approach to identify local mechanical properties. The highlighting of a relationship between identified local properties and microstructural properties of these materials is made.
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Louis Pétureau. Stratégie de couplage expérimentation/modélisation dans les matériaux hétérogènes. Identification de propriétés mécaniques locales. Mécanique des solides [physics.class-ph]. Université de Poitiers, 2018. Français. ⟨NNT : 2018POIT2307⟩. ⟨tel-02272072⟩

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