Comparison of current methods for implementing periodic boundary conditions in multi-scale homogenisation

P Henyš, L Čapek, J Březina - European Journal of Mechanics-A/Solids, 2019 - Elsevier
Correctly representing the micro-scale model boundaries is fundamental to the performance
and accuracy of multi-scale homogenisation. Although enforcing periodic boundary …

Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media

M Vasilyeva, A Tyrylgin - Computers & Mathematics with Applications, 2021 - Elsevier
In this paper, we consider a coarse grid approximation (numerical homogenization and
multiscale finite element method) for the poroelasticity problem with stochastic properties …

Machine learning for accelerating effective property prediction for poroelasticity problem in stochastic media

M Vasilyeva, A Tyrylgin - arxiv preprint arxiv:1810.01586, 2018 - arxiv.org
In this paper, we consider a numerical homogenization of the poroelasticity problem with
stochastic properties. The proposed method based on the construction of the deep neural …

Numerical upscaling of parametric microstructures in a possibilistic uncertainty framework with tensor trains

M Eigel, R Gruhlke, D Moser, L Grasedyck - Computational Mechanics, 2023 - Springer
A fuzzy arithmetic framework for the efficient possibilistic propagation of shape uncertainties
based on a novel fuzzy edge detection method is introduced. The shape uncertainties stem …

Computation of effective behavior of isotropic transverse composite in nonlinear problems

A Benhizia, T Kanit, T Outtas, S Madani… - Mechanics Research …, 2014 - Elsevier
Computational homogenization is demonstrated as a potential analysis tool that can be
used directly to predict the property structure relationships of many existing classes of …

Global multiscale design optimization of procedural lattice structures for fatigue enhancement

E Trudel, MSA ElSayed - Multiscale and Multidisciplinary Modeling …, 2021 - Springer
This paper introduces procedural generation of lattice structures inside predefined volumes
for fatigue life enhancement of multiscale constructed structural components. Global …

[PDF][PDF] Uncertainty quantification of material imperfections: surrogates, upscaling and inference

R Gruhlke - 2023 - depositonce.tu-berlin.de
I like to thank all the people that supported me during my studies and my doctoral research.
First and foremost I wish to show my gratitude to Martin Eigel for his mentoring and support …

Numerical and Experimental Optimization for Specific Fatigue Life Maximization of Additively Manufactured Ti-6Al-4V Aerospace Components

EP Trudel - 2020 - repository.library.carleton.ca
Abstract Computer Aided Design (CAD) in combination with structural optimization has
allowed the rapid development of engineering prototypes. Topology and multi-scale design …

[PDF][PDF] Modélisation non-local et stochastique de matériaux à fort gradient de propriétés par développement asymptotique

DDELEN SUPERIEURE, ETDA DE MECANIQUE - researchgate.net
Au sein de la grande famille des matériaux, la catégorie des matériaux composites est
largement répandue et utilisée dans différents domaines industriels, comme par exemple …

Modélisation non-locale et stochastique de matériaux à fort gradient de propriétés par développement asymptotique

SBE Salah - 2019 - theses.hal.science
Le but est de proposer un modèle macroscopique, déterministe et non-local, construit par
transition d'échelle pour des matériaux hétérogènes à fort gradient de propriétés, constitués …