[图书][B] Nonlocal Modeling, Analysis, and Computation: Nonlocal Modeling, Analysis, and Computation

Q Du - 2019 - SIAM
Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …

On the variational limit of a class of nonlocal functionals related to peridynamics

T Mengesha, Q Du - Nonlinearity, 2015 - iopscience.iop.org
In this paper we study variational problems on a bounded domain for a nonlocal elastic
energy of peridynamic-type which result in nonlinear systems of nonlocal equations. The …

Variational convergence of discrete geometrically-incompatible elastic models

R Kupferman, C Maor - Calculus of Variations and Partial Differential …, 2018 - Springer
We derive a continuum model for incompatible elasticity as a variational limit of a family of
discrete nearest-neighbor elastic models. The discrete models are based on discretizations …

Limits of distributed dislocations in geometric and constitutive paradigms

M Epstein, R Kupferman, C Maor - Geometric Continuum Mechanics, 2020 - Springer
The 1950s foundational literature on rational mechanics exhibits two somewhat distinct
paradigms to the representation of continuous distributions of defects in solids. In one …