Peridynamics with LAMMPS : a user guide.

Lehoucq, Richard B; Silling, Stewart A.; Seleson, Pablo; Plimpton, Steven J.; Parks, Michael L.

doi:10.2172/1031301

Cited by 7 publications

(1 citation statement)

References 2 publications

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“…In the proposed work,

, where

is the grid spacing, assumed to be constant in all three directions. Moreover, in order to take into account the reduction in volume of a particle that does not entirely lay within the horizon radius (as in the case of particle

in Figure 2 ), the volume reduction scheme proposed in Reference 31 is employed.…”

Section: Bond‐based Pdmentioning

confidence: 99%

Quasi‐static fracture analysis by coupled three‐dimensional peridynamics and high order one‐dimensional finite elements based on local elasticity

Pagani

Enea

Carrera

2021

Numerical Meth Engineering

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This work investigates quasi-static crack propagation in specimens made of brittle materials by combining local and non-local elasticity models. The portion of the domain where the failure initiates and then propagates is modeled via three-dimensional bond-based peridynamics (PD). On the other hand, the remaining regions of the structure are analyzed with high order one-dimensional finite elements based on the Carrera unified formulation (CUF). The coupling between the two zones is realized by using Lagrange multipliers. Static solutions of different fracture problems are provided by a sequential linear analysis. The proposed approach is demonstrated to combine the advantages of the CUF-based classical continuum mechanics models and PD by providing, in an efficient manner, both the failure load and the shape of the crack pattern, even for three-dimensional problems.

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“…In the proposed work,

, where

in Figure 2 ), the volume reduction scheme proposed in Reference 31 is employed.…”

Section: Bond‐based Pdmentioning

confidence: 99%