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Still today, some of the phenomena which occur in structural dynamics cannot be described, even using a properly updated model: some uncertainties remain. This paper presents the basic concepts of a new theory which uses the concept of Lack of Knowledge (LOK) to model the uncertainty using two bounds of the energy in each sub-structure. The inverse problem,(More)
A temporal multiscale modelling applied to fatigue damage evolution in cortical bone is presented. Micro-damage accumulation in cortical bone, ensued from daily activities, leads to impaired mechanical properties, in particular by reducing the bone stiffness and inducing fatigue. However, bone damage is also known as a stimulus to bone remodelling, whose(More)
With the increasing interplay between experimental and computational approaches at multiple length scales, new research directions are emerging in materials science and computational mechanics. Such cooperative interactions find many applications in the development, characterization and design of complex material systems. This manuscript provides a broad(More)
Rubber bushings are extensively-used linking parts in a vehicle chassis that allow to filter noise and vibration. They influence much, however, the transient behaviour of the vehicle, such as its steering performance. Therefore building a multibody simulation with a relevant description of the rubber bushings is useful to describe the significant(More)
The quantification of the quality of a structural dynamical model remains a major issue today, and increasingly numerous methods are being devised in order to validate a model by comparison with an experimental reference. This paper presents a theory based on the concept of Lack Of Knowledge, which consists in globalizing the various sources of errors on(More)
We address here the case of electron-matter elastic interaction as it occurs in Transmission Electron Microscopy (TEM) experiments. In the forward problem, we show that it is possible to derive the scattered electron wave function as the solution of a Helmholtz equation. This equation depends on the spatial potential associated with the analyzed sample, and(More)
A literature review points out a large discrepancy in the results of the mechanical tests on dentin that can be explained by stress and strain assessment during the tests. Errors in these assessments during mechanical tests can lead to inaccurate estimation of the mechanical properties of the tested material. On top of that, using the beam theory to analyze(More)
Background Context Material fatigue is one of the key phenomena whose study is essential to design and develop modern industrial parts: many of the classical methods used in the industry, such as those described in Ref. [1], allow to estimate fatigue life through cumulative formulas. However, these latter do not take into account the history associated with(More)