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As a nonlocal extension of continuum mechanics, peridynamics has been widely and effectively applied in different fields where discontinuities in the field variables arise from an initially continuous body.
Reformulation of elasticity theory for discontinuities and long-range forces
S. A. Silling · 2000
Earlier work this paper cites.
Deformation of a peridynamic bar
S. A. Silling, M. Zimmermann, and R. Abeyaratne · 2003
Earlier work this paper cites.
A meshfree method based on the peridynamic model of solid mechanics
S. A. Silling and E. Askari · 2005
Earlier work this paper cites.
The effect of long-range forces on the dynamics of a bar
O. Weckner and R. Abeyaratne · 2005
Earlier work this paper cites.
Data-driven learning of robust nonlocal physics from high-fidelity synthetic data
H. You, Y. Yu, N. Trask, M. Gulian, and M. D’Elia · 2005
Earlier work this paper cites.
Peridynamic states and constitutive modeling
S. A. Silling, M. Epton, O. Weckner, J. Xu, and E. Askari · 2007
Earlier work this paper cites.
Convergence of peridynamics to classical elasticity theory
S. A. Silling and R. B. Lehoucq · 2008
Earlier work this paper cites.
On the role of the influence function in the peridynamic theory
P. Seleson and M. Parks · 2011
Earlier work this paper cites.
Determination of nonlocal constitutive equations from phonon dispersion relations
O. Weckner and S. A. Silling · 2011
Cited alongside, same era.
Analysis and approximation of nonlocal diffusion problems with volume constraints
Q. Du, M. Gunzburger, R. Lehoucq, and K. Zhou · 2012
Cited alongside, same era.
Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws
H. You, Y. Yu, S. Silling, and M. D’Elia · 2012
Cited alongside, same era.
Origin and effect of nonlocality in a composite
S. A. Silling · 2014
Cited alongside, same era.
Non-local formulation for multiscale flow in porous media
A. H. Delgoshaie, D. W. Meyer, P. Jenny, and H. A. Tchelepi · 2015
Cited alongside, same era.
An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis
A 3-d conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids
Y. Wang, X. Zhou, Y. Wang, and Y. Shou · 2018
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Discrete micromodulus functions for reducing wave dispersion in linearized peridynamics
R. A. Wildman · 2019
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On the choice of kernel function in nonlocal wave propagation
B. Aksoylu and G. A. Gazonas · 2020
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M. D’Elia, M. Gunzburger, and C. Vollman · 2020
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Bond-based peridynamics: A tale of two poisson’s ratios
J. Trageser and P. Seleson · 2020
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D. Huang, G. Lu, and P. Qiao · 2015
Cited alongside, same era.
Identification of the diffusion parameter in nonlocal steady diffusion problems
M. D’Elia and M. Gunzburger · 2016
Cited alongside, same era.
A general multiscale framework for the emergent effective elastodynamics of metamaterials
A. Sridhar, V. G. Kouznetsova, and M. G. Geers · 2018
Cited alongside, same era.
X. Xu and J. T. Foster · 2020
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A bond-based peridynamic model considering effects of particle rotation and shear influence coefficient
G. Zheng, G. Shen, Y. Xia, and P. Hu · 2020
Later among the works it cites.