Proper generalized decomposition for parametric study and material distribution design of multi-directional functionally graded plates based on 3D elasticity solution

MJ Kazemzadeh-Parsi, F Chinesta, A Ammar - Materials, 2021 - mdpi.com
The use of mesh-based numerical methods for a 3D elasticity solution of thick plates
involves high computational costs. This particularly limits parametric studies and material …

A staggered high-dimensional proper generalised decomposition for coupled magneto-mechanical problems with application to MRI scanners

G Barroso, M Seoane, AJ Gil, PD Ledger… - Computer Methods in …, 2020 - Elsevier
Abstract Manufacturing new Magnetic Resonance Imaging (MRI) scanners represents a
computational challenge to industry, due to the large variability in material parameters and …

[HTML][HTML] Fast simulation of 3D elastic response for wheel–rail contact loading using Proper Generalized Decomposition

C Ansin, F Larsson, R Larsson - Computer Methods in Applied Mechanics …, 2023 - Elsevier
To increase computational efficiency, we adopt Proper Generalized Decomposition (PGD) to
solve a reduced-order problem of the displacement field for a three-dimensional rail head …

[HTML][HTML] Three-dimensional modelling of laminated glass bending on two-dimensional in-plane mesh

J Jaśkowiec, P Pluciński, A Stankiewicz… - Composites Part B …, 2017 - Elsevier
The article presents an analysis of bending of a laminated glass (LG) plate. The analysis
uses a 3D physical model in which only a 2D in-plane mesh is applied for numerical …

Arlequin based PGD domain decomposition

SM Nazeer, F Bordeu, A Leygue, F Chinesta - Computational Mechanics, 2014 - Springer
Problems defined in fully or partially separable domains can be solved by considering a
space separated representation of the unknown fields. Thus three-dimensional problems …

Space-energy separated representations for multigroup neutron diffusion using proper generalized decompositions

ZM Prince, JC Ragusa - Annals of Nuclear Energy, 2020 - Elsevier
Proper generalized decomposition (PGD) can be described as a numerical extension of
separation of variables and thus be employed as a solution technique for multi-dimensional …

A regularised-adaptive Proper Generalised Decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners

G Barroso, AJ Gil, PD Ledger, M Mallett… - Computer Methods in …, 2020 - Elsevier
Latest developments in high-strength Magnetic Resonance Imaging (MRI) scanners with in-
built high resolution, have dramatically enhanced the ability of clinicians to diagnose …

Parametric model for the simulation of the railway catenary system static equilibrium problem

S Gregori, M Tur, E Nadal, FJ Fuenmayor… - Finite Elements in …, 2016 - Elsevier
Dynamic simulations of pantograph–catenary interaction are nowadays essential for
improving the performance of railway locomotives, by achieving better current collection at …

Prediction of Evolving Plasticity in Rails Under Steady State Rolling Contact Based on Reduced-Order Modeling

C Ansin, F Larsson, R Larsson - Available at SSRN 5047054 - papers.ssrn.com
Predicting railhead damage due to multiple wheel passes in railway operations can be
computationally demanding, especially when accounting for the rail's inelastic material …

Reduced Order Modeling of Neutron Diffusion and Transport Using Proper Generalized Decomposition

ZM Prince - 2019 - search.proquest.com
This research explores the application of a reduced order modeling technique known as
proper generalized decomposition (PGD) to models commonly employed in nuclear science …