209 citations · 596 across the 42 of their papers we have counts for
5 papers · 1 filter
A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics
Marta D'Elia, Xingjie Li, Pablo Seleson +2
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 representation. T…
A Thermodynamically Consistent Fractional Visco-Elasto-Plastic Model with Memory-Dependent Damage for Anomalous Materials
Jorge L. Suzuki, Yongtao Zhou, Marta D'Elia +1
We develop a thermodynamically consistent, fractional visco-elasto-plastic model coupled with damage for anomalous materials. The model utilizes Scott-Blair rheological elements fo…
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Marta D'Elia, Pavel Bochev
We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states ar…
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications
M. D'Elia, C. Flores, X. Li +2
Nonlocal operators that have appeared in a variety of physical models satisfy identities and enjoy a range of properties similar to their classical counterparts. In this paper we o…
A physically-consistent, flexible and efficient strategy to convert local boundary conditions into nonlocal volume constraints
Marta D'Elia, Xiaochuan Tian, Yue Yu
Nonlocal models provide exceptional simulation fidelity for a broad spectrum of scientific and engineering applications. However, wider deployment of nonlocal models is hindered by…