A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

M D'Elia, X Li, P Seleson, X Tian, Y Yu - Journal of Peridynamics and …, 2021 - Springer
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 …

[HTML][HTML] Towards developing multiscale-multiphysics models and their surrogates for digital twins of metal additive manufacturing

DR Gunasegaram, AB Murphy, A Barnard… - Additive …, 2021 - Elsevier
Artificial intelligence (AI) embedded within digital models of manufacturing processes can be
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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …