Morphological characterization and elastic response of a granular material

Kaeshammer, Élodie; Borne, Lionel; Willot, François; Dokládal, Petr; Belon, Steve

doi:10.1016/j.commatsci.2020.110247

Cited by 4 publications

(2 citation statements)

References 35 publications

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“…The structural characterization of materials enables valuable connections with physicochemical properties, especially in the analysis of porous media [7,8]. Due to the complexity of some interconnected networks, named microstructures when real media are considered, their structural characterization often requires combination of various operators, named descriptors, focusing either on local -morphological-or global -topological-features [9,10,11]. Among topological measures, connectivity notion is considered in various descriptors, as connectivity number and Euler number, and concepts too, as percolation and accessibility [1,12,3].…”

Section: Introductionmentioning

confidence: 99%

Scalable morphological accessibility of complex microstructures

Chaniot

Moreaud

Sorbier

et al. 2022

Computational Materials Science

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Section: Introductionmentioning

confidence: 99%

Scalable morphological accessibility of complex microstructures

Chaniot

Moreaud

Sorbier

et al. 2022

Computational Materials Science

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“…The latter often involve inverse-design problems within a given class of microstructures or morphologies, that results from manufacturing constraints [34,35]. In energetic granular materials, for instance, particles shape and size depend on crystallography and may be controlled by surface treatment, to some extent [36]. Furthermore, the overall material response alone, characterized by an effective stiffness tensor, is insufficient for determining the full mechanical response.…”

Section: Introductionmentioning

confidence: 99%

Mechanical assessment of defects in welded joints: morphological classification and data augmentation

et al. 2021

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We develop a methodology for classifying defects based on their morphology and induced mechanical response. The proposed approach is fairly general and relies on morphological operators (Angulo and Meyer in 9th international symposium on mathematical morphology and its applications to signal and image processing, pp. 226-237, 2009) and spherical harmonic decomposition as a way to characterize the geometry of the pores, and on the Grassman distance evaluated on FFT-based computations (Willot in C. R., Méc. 343(3):232–245, 2015), for the predicted elastic response. We implement and detail our approach on a set of trapped gas pores observed in X-ray tomography of welded joints, that significantly alter the mechanical reliability of these materials (Lacourt et al. in Int. J. Numer. Methods Eng. 121(11):2581–2599, 2020). The space of morphological and mechanical responses is first partitioned into clusters using the “k-medoids” criterion and associated distance functions. Second, we use multiple-layer perceptron neural networks to associate a defect and corresponding morphological representation to its mechanical response. It is found that the method provides accurate mechanical predictions if the training data contains a sufficient number of defects representing each mechanical class. To do so, we supplement the original set of defects by data augmentation techniques. Artificially-generated pore shapes are obtained using the spherical harmonic decomposition and a singular value decomposition performed on the pores signed distance transform. We discuss possible applications of the present method, and how medoids and their associated mechanical response may be used to provide a natural basis for reduced-order models and hyper-reduction techniques, in which the mechanical effects of defects and structures are decorrelated (Ryckelynck et al. in C. R., Méc. 348(10–11):911–935, 2020).

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Effect of particle morphology on mechanical behaviour of highly particle-filled composites

Yang

Kang

et al. 2022

International Journal of Mechanical Sciences

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Morphological characterization and elastic response of a granular material

Cited by 4 publications

References 35 publications

Scalable morphological accessibility of complex microstructures

Scalable morphological accessibility of complex microstructures

Mechanical assessment of defects in welded joints: morphological classification and data augmentation

Effect of particle morphology on mechanical behaviour of highly particle-filled composites

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