Peridynamic States and Constitutive Modeling

By Stewart A. Silling, Michael A. Epton, Olaf Weckner, Jifeng Xu, E. Askari. 2007

2,392 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fa4656e22a780a5e5e753988d2a7fc0cbf05a15e

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Peridynamic analysis of fiber-reinforced composite materials (2012, background): “As explained in [Macek and Silling 2007], the thickness of the region over which the boundary conditions are applied should be comparable to the size of the horizon.”
Peridynamics simulations of geomaterial fragmentation by impulse loads (2015, background): “Silling SA.”
A computational library for multiscale modeling of material failure (2013, methodology): “In the Peridynamics method also, fracture is modeled with breaking bonds between the particles [122].”
A coupled thermo-mechanical bond-based peridynamics for simulating thermal cracking in rocks (2018, methodology): “In order to eliminate the limitations of the fixed Poisson’s ratio, state-based peridynamics (SB-PD) including OSB-PD and NOSB-PD, was proposed by Silling and coworkers (Silling et al. 2007; Silling and Lehoucq 2010), and was employed to describe the mechanical and fracture behaviors ofmore generalm”
Analysis of the Volume-Constrained Peridynamic Navier Equation of Linear Elasticity (2013, background): “, = (|y − x|), is non-degenerate if the support of contains a small ball centered at the origin which is typically the case for a peridynamic model; for instance, see [17–19].”
An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis (2015, methodology): “To eliminate the limitations including the limited Poisson's ratio, a reformulation of the bond-based PD relation, called the statebased peridynamic model, was proposed by Silling and coworkers [29–31], and it has been employed to describe the mechanical and fracture behavior of more general materia”
Variable Horizon in a Peridynamic Medium (2015, methodology): “The peridynamic reference material model T̂1 is a bond-based model [18] with a nominal Young’s modulus of 1.”