Advanced geometry representations and tools for microstructural and multiscale modeling

Sonon, Bernard; Kamel, Karim Ehab Moustafa; Massart, Thierry

doi:10.1016/bs.aams.2020.12.001

Cited by 3 publications

(1 citation statement)

References 246 publications

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“…This intrinsic multiscale aspect of materials behavior creates the demand for the development of specialized scale-bridging techniques [1,2,3]. We focus here on an image-based homogenization technique [4] that combines the characterization of materials microstructures by high-resolution images (originating, e.g., from micro-computed tomography [5] or geometry-based models [6]) and a numerical solution of an underlying partial differential equation (PDE) with coefficient defined on a regular grid and typically involving periodic boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Optimal FFT-accelerated Finite Element Solver for Homogenization

Ladecký¹,

J.²,

Falsafi³

et al. 2022

Preprint

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We propose a specialized preconditioned FE homogenization scheme that is significantly more efficient than generic FE implementations.• Our formulation offers computational efficiency equivalent to spectral homogenization solvers.• Our formulation is devoid of ringing phenomena intrinsic to spectral methods.• All results are reproducible in an open-source project µSpectre available at https: //muspectre.gitlab.io/muspectre.

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Section: Introductionmentioning

confidence: 99%

Optimal FFT-accelerated Finite Element Solver for Homogenization

Ladecký¹,

J.²,

Falsafi³

et al. 2022

Preprint

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Dynamic bandgap responsiveness of modified re-entrant metamaterials in thermal-mechanical field

Hu,

Dong,

Cao

et al. 2024

Journal of Materials Research and Technology

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How can machine learning be used for accurate representations and predictions of fracture nucleation in zirconium alloys with hydride populations?

2023

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Zirconium alloys are critical material components of systems subjected to harsh environments such as high temperatures, irradiation, and corrosion. When exposed to water in high temperature environments, these alloys can thermo-mechanically degrade by forming hydrides that have a crystalline structure that is different from that of zirconium. Cracks can nucleate near these hydrides; hence, these hydrides are a direct link to fracture failure and overall large inelastic strain deformation modes. To fundamentally understand and predict these microstructural failure modes, we interrogated a finite-element database that was deterministically tailored and generated for large strain-dislocation-density crystalline plasticity and fracture modes. A database of 210 simulations was created to randomly sample from a group of microstructural fingerprints that encompass hydride volume fraction, hydride orientation, grain orientation, hydride length, and hydride spacing for a hydride that is physically representative of an aggregate of a hydride population. Machine learning approaches were then used to understand, identify, and characterize the dominant microstructural mechanisms and characteristics. We first used fat-tailed Cauchy distributions to determine the extreme events. A multilayer perceptron was used to learn the mechanistic characteristics of the material response to predefined strain levels and accurately determine the critical fracture stress response and the accumulated shear slips in critical regions. The predictions indicate that hydride volume fraction, a population-level parameter, had a significant effect on localized parameters, such as fracture stress distribution regions, and on the accumulated immobile dislocation densities both within the face centered cubic hydrides and the hexagonal cubic packed h.c.p. matrix.

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Advanced geometry representations and tools for microstructural and multiscale modeling

Cited by 3 publications

References 246 publications

Optimal FFT-accelerated Finite Element Solver for Homogenization

Optimal FFT-accelerated Finite Element Solver for Homogenization

Dynamic bandgap responsiveness of modified re-entrant metamaterials in thermal-mechanical field

How can machine learning be used for accurate representations and predictions of fracture nucleation in zirconium alloys with hydride populations?

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