A vectorized assembly-free FEM solver for image-based numerical homogenization

Lopes, Pedro Cortez Fetter; Sapucaia, Victor W.; Pereira, António; Leiderman, Ricardo

doi:10.1007/s40430-022-03640-6

Cited by 4 publications

(1 citation statement)

References 37 publications

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“…A similar implementation of the voxel-based strategy and the periodic boundary conditions applied in the context of fluid mechanics can be found in 25 . Finally, we used the Preconditioned Conjugate Gradient (PCG) in conjunction with the Element-by-Element technique (EbE), as in reference 26 , to solve the usually large resulting linear systems. In that sense, we never assemble and store the whole system of equations.…”

Section: Two-step Homogenizationmentioning

confidence: 99%

Characterization of Pultruded Glass-Fiber Reinforced Polymers with Two-Step Homogenization

et al. 2023

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The aim of this work is to determine effective elastic properties of pultruded Glass Fiber Reinforced Polymer using micro-CT in conjunction with a two-step numerical homogenization technique. The two-step homogenization involves the segmentation of the material's layers, which was made here by means of a machine learning approach. The segmentation was validated through the comparison between the phase's volume fractions of samples obtained from the segmented images and laboratory tests. Further, a standard accuracy analysis in a 10-fold cross validation was performed. The samples' effective axial Young's modulus obtained by our numerical homogenization were compared to results obtained from experimental tests. For both the experimental tests and the image-based numerical analysis we considered samples extracted from the same profile. The two-step methodology allowed the homogenization of large volumes of the composite corresponding to the whole thickness of the profile, imaged with a high resolution. In addition to the axial effective Young's modulus, our methodology was also able to successfully provide all the other elastic properties along the three orthogonal directions, even the ones that are arduous to be obtained in laboratory setups.

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Section: Two-step Homogenizationmentioning

confidence: 99%