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 …
Atomistic-to-continuum coupling
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale
schemes that combine the accuracy of atomistic models with the efficiency of continuum …
schemes that combine the accuracy of atomistic models with the efficiency of continuum …
Analysis of boundary conditions for crystal defect atomistic simulations
Numerical simulations of crystal defects are necessarily restricted to finite computational
domains, supplying artificial boundary conditions that emulate the effect of embedding the …
domains, supplying artificial boundary conditions that emulate the effect of embedding the …
The quasicontinuum method: Theory and applications
DM Kochmann, JS Amelang - Multiscale materials modeling for …, 2016 - Springer
The quasicontinuum (QC) method has become a popular technique to bridge the gap
between atomistic and continuum length scales in crystalline solids. In contrast to many …
between atomistic and continuum length scales in crystalline solids. In contrast to many …
Atomistic/continuum blending with ghost force correction
We combine the ideas of atomistic/continuum energy blending and ghost force correction to
obtain an energy-based atomistic/continuum coupling scheme which has, for a range of …
obtain an energy-based atomistic/continuum coupling scheme which has, for a range of …
Energy-based atomistic-to-continuum coupling without ghost forces
Energy-based atomistic-to-continuum coupling without ghost forces - ScienceDirect Skip to
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Geometry equilibration of crystalline defects in quantum and atomistic descriptions
We develop a rigorous framework for modeling the geometry equilibration of crystalline
defects. We formulate the equilibration of crystal defects as a variational problem on a …
defects. We formulate the equilibration of crystal defects as a variational problem on a …
Analysis of blended atomistic/continuum hybrid methods
We present a comprehensive error analysis of two prototypical atomistic-to-continuum
coupling methods of blending type: the energy-based and the force-based quasicontinuum …
coupling methods of blending type: the energy-based and the force-based quasicontinuum …
Generalized bridging domain method for coupling finite elements with discrete elements
F Tu, D Ling, L Bu, Q Yang - Computer Methods in Applied Mechanics and …, 2014 - Elsevier
The concurrent coupling of finite elements and discrete elements is an effective DOF
reduction methodology for reproducing the granular flow phenomenon as discrete element …
reduction methodology for reproducing the granular flow phenomenon as discrete element …
Adaptive Multiscale Coupling Methods of Molecular Mechanics based on a Unified Framework of a Posteriori Error Estimates
H Wang, Y Wang - arxiv preprint arxiv:2309.13255, 2023 - arxiv.org
Multiscale coupling methods are significant methodologies for the modeling and simulation
of materials with defects, intending to achieve the (quasi-) optimal balance of accuracy and …
of materials with defects, intending to achieve the (quasi-) optimal balance of accuracy and …