Thèse : A virtual testing approach for the validation of the dynamic behavior of metallic materials H/F
The aim of this thesis is to propose a computational-based methodology to select tests configurations to evaluate the relevance of a given constitutive model. The first step is to develop a high-fidelity digital twin of the dynamic tests. This digital twin has to be designed to take into account the features of the selected full-field measurement technique and to provide data as if obtained experimentally. The later can then be used to optimize the test configuration by minimizing a cost function, whose definition is an essential step of this work. Since this minimization may require the simulation of several specimen geometries, surrogate models are to be used (kringing, AI, ...).
The proposed methodology will be applied to build a test campaign on a drop tower for the characterization of metallic materials undergoing dynamic loadings. In particular, it is expected to gain knowledge on stainless steels behaviour characterization, as it is widely used in the nuclear industry.
Dynamic behaviour characterization of materials is still the cornerstone of many research programs in mechanics. It leads to the development of non-linear constitutive models (e.g., elasto-viscoplasticity) involving several parameters that need to be identified for each considered material. Usually, these models are characterized using simply the homogeneous response of uniaxial specimens submitted to different loading rates. Since the identified models are applied to predict the behavior of complex structures undergoing various stress states, this standard approach eventually leads to unsatisfactory predictions. To achieve a satisfactory level of prediction for a complex full-scale structure to in service loadings, a building block approach can be implemented.
Two options can be considered for a building block approach. The first option is to perform systematically a full characterization of the material behaviour mechanisms (e.g., anisotropy, strain-rate effects, . . . ) onto material samples submitted to a variety of loading conditions by studying their homogeneous response. With this option, the material database is necessarily large enough to expect a correct prediction of the mechanical behavior of complex components. However, this type of systematic extensive characterization is expensive and might be unnecessary for material that exhibit a rather simple mechanical behaviour.
Another option for the building block approach - perhaps more frugal - is to perform only a minimal characterization using material samples submitted to uniaxial loading with homogeneous responses and to move on to small-scale component tests based on constitutive models errors. From the observed discrepancy, it is possible to define additional tests on increasingly complex and
large components to update the database iteratively until the constitutive model can be validated. The latter approach is even more relevant for characterization under dynamic loading conditions for which experimental devices are more restricted to uniaxial loading : in this case, the validation of material models based on heterogeneous states (e.g., in terms of stress , strain-rates, . . . ) is more appropriate. In order to study heterogeneous fields, or more generally to analyze tests/structures, it is interesting to use full-field measurement techniques. Indeed, owing to recent spectacular improvements in optics, it is now possible to extract full-field kinematic maps (displacement, acceleration, strain) that are accurate enough using high-speed cameras, even at high temporal resolution (several thousands of images). Finally, for this second approach chosen for this work, the main challenge is to design informative complex components tests (including the specimen geometry as well as the metrological toolchain).
Applicant profile : MSc in Mechanical/Materials Engineering, Computer Science, Numerical Analysis or equivalent
Appreciated skills : Non-linear/Computational Mechanics, good proficiency with Python or DIC framework