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The influence function in peridynamic material models has a large effect on the dynamic behavior of elastic waves and in turn can greatly effect dynamic simulations of fracture propagation and material failure.
A mixture theory with a director for linear elastodynamics of periodically laminated media
H. Murakami, A. Maewal, and G. Hegemier · 1981
Earlier work this paper cites.
Reformulation of elasticity theory for discontinuities and long-range forces
S. A. Silling · 2000
Earlier work this paper cites.
Higher-order homogenization of initial/boundary-value problem
J. Fish and W. Chen · 2001
Earlier work this paper cites.
Peridynamic analysis of impact damage in composite laminates
J. Xu, A. Askari, O. Weckner, and S. Silling · 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.
Peridynamic states and constitutive modeling
S. A. Silling, M. Epton, O. Weckner, J. Xu, and E. Askari · 2007
Cited alongside, same era.
A non-ordinary state-based peridynamic method to model solid material deformation and fracture
T. L. Warren, S. A. Silling, A. Askari, O. Weckner, M. A. Epton, and J. Xu · 2009
Cited alongside, same era.
Viscoplasticity using peridynamics
J. T. Foster, S. A. Silling, and W. W. Chen · 2010
Cited alongside, same era.
Studies of dynamic crack propagation and crack branching with peridynamics
Y. D. Ha and F. Bobaru · 2010
Cited alongside, same era.
Peridynamic theory of solid mechanics
S. A. Silling and R. B. Lehoucq · 2010
Cited alongside, same era.
Predicting crack propagation with peridynamics: a comparative study
A. Agwai, I. Guven, and E. Madenci · 2011
Cited alongside, same era.
On the role of the influence function in the peridynamic theory
P. Seleson and M. Parks · 2011
Later among the works it cites.
Origin and effect of nonlocality in a composite
S. A. Silling · 2014
Later among the works it cites.
Why do cracks branch? a peridynamic investigation of dynamic brittle fracture
F. Bobaru and G. Zhang · 2015
Later among the works it cites.
Non-local formulation for multiscale flow in porous media
A. H. Delgoshaie, D. W. Meyer, P. Jenny, and H. A. Tchelepi · 2015
Later among the works it cites.
Peridynamics simulations of geomaterial fragmentation by impulse loads
X. Lai, B. Ren, H. Fan, S. Li, C. Wu, R. A. Regueiro, and L. Liu · 2015
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Discrete micromodulus functions for reducing wave dispersion in linearized peridynamics
R. A. Wildman · 2019
Later among the works it cites.
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