A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics
Abstract Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining
nonlocal and local modeling descriptions of a given system into a unified coupled …
nonlocal and local modeling descriptions of a given system into a unified coupled …
[HTML][HTML] Towards developing multiscale-multiphysics models and their surrogates for digital twins of metal additive manufacturing
Artificial intelligence (AI) embedded within digital models of manufacturing processes can be
used to improve process productivity and product quality significantly. The application of …
used to improve process productivity and product quality significantly. The application of …
Rational nanoparticle design: Optimization using insights from experiments and mathematical models
O Richfield, AS Piotrowski-Daspit, K Shin… - Journal of Controlled …, 2023 - Elsevier
Polymeric nanoparticles are highly tunable drug delivery systems that show promise in
targeting therapeutics to specific sites within the body. Rational nanoparticle design can …
targeting therapeutics to specific sites within the body. Rational nanoparticle design can …
Multiscale modelling and simulation: a position paper
A Hoekstra, B Chopard… - … Transactions of the …, 2014 - royalsocietypublishing.org
We argue that, despite the fact that the field of multiscale modelling and simulation has
enjoyed significant success within the past decade, it still holds many open questions that …
enjoyed significant success within the past decade, it still holds many open questions that …
Coupling of nonlocal and local continuum models by the Arlequin approach
F Han, G Lubineau - International Journal for Numerical …, 2012 - Wiley Online Library
The objective of this work is to develop and apply the Arlequin framework to couple nonlocal
and local continuum mechanical models. A mechanically‐based model of nonlocal …
and local continuum mechanical models. A mechanically‐based model of nonlocal …
A nonlocal cohesive zone model for finite thickness interfaces–Part I: mathematical formulation and validation with molecular dynamics
M Paggi, P Wriggers - Computational Materials Science, 2011 - Elsevier
A nonlocal cohesive zone model is derived taking into account the properties of finite
thickness interfaces. The functional expression of the stress–separation relationship, which …
thickness interfaces. The functional expression of the stress–separation relationship, which …
Ghost forces and spurious effects in atomic‐to‐continuum coupling methods by the Arlequin approach
L Chamoin, S Prudhomme… - … journal for numerical …, 2010 - Wiley Online Library
The main objective of this work is to identify spurious effects and propose a corrective
method when coupling a particle model involving long–range interaction potentials with a …
method when coupling a particle model involving long–range interaction potentials with a …
Goal-oriented error estimation and adaptivity in MsFEM computations
L Chamoin, F Legoll - Computational Mechanics, 2021 - Springer
We introduce a goal-oriented strategy for multiscale computations performed using the
Multiscale Finite Element Method (MsFEM). In a previous work, we have shown how to use …
Multiscale Finite Element Method (MsFEM). In a previous work, we have shown how to use …
On the use of XFEM within the Arlequin framework for the simulation of crack propagation
HB Dhia, O Jamond - Computer methods in applied mechanics and …, 2010 - Elsevier
The Arlequin method is a generic numerical method that allows, by local superposition and
coupling of models, to address multimodel and multiscale mechanical problems. In …
coupling of models, to address multimodel and multiscale mechanical problems. In …
Scale selection in nonlinear fracture mechanics of heterogeneous materials
A Akbari Rahimabadi, P Kerfriden… - Philosophical …, 2015 - Taylor & Francis
A new adaptive multiscale method for the non-linear fracture simulation of heterogeneous
materials is proposed. The two major sources of errors in the finite element simulation are …
materials is proposed. The two major sources of errors in the finite element simulation are …