Abstract

A novel non-local lattice particle method for three-dimensional elasticity and fracture simulation of isotropic solids is proposed in this paper. First, the basic concept and detailed derivation of the proposed model are given. Three cubic lattice packing are investigated using the proposed model and simulation results are compared with classical finite element method solutions. The performance of these lattice structures are assessed using several benchmarks, for both deformation and brittle fracture problems. From the simulation results, good agreements with both analytical solution and experimental data are observed. Conclusions and future work are drawn based on this study.

Original languageEnglish (US)
JournalInternational Journal of Solids and Structures
DOIs
StateAccepted/In press - 2015

Fingerprint

Brittle fracture
Brittle Fracture
Elasticity
Simulation
Particle Method
Lattice Structure
simulation
cubic lattices
Finite element method
Packing
Analytical Solution
finite element method
derivation
elastic properties
Finite Element Method
Experimental Data
Benchmark
Three-dimensional
Model
Framework

Keywords

  • 3D lattice spring model
  • Brittle fracture
  • Cubic lattice structures
  • Elasticity
  • Non-local interaction

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Applied Mathematics
  • Modeling and Simulation

Cite this

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title = "A non-local 3D lattice particle framework for elastic solids",
abstract = "A novel non-local lattice particle method for three-dimensional elasticity and fracture simulation of isotropic solids is proposed in this paper. First, the basic concept and detailed derivation of the proposed model are given. Three cubic lattice packing are investigated using the proposed model and simulation results are compared with classical finite element method solutions. The performance of these lattice structures are assessed using several benchmarks, for both deformation and brittle fracture problems. From the simulation results, good agreements with both analytical solution and experimental data are observed. Conclusions and future work are drawn based on this study.",
keywords = "3D lattice spring model, Brittle fracture, Cubic lattice structures, Elasticity, Non-local interaction",
author = "Hailong Chen and Yongming Liu",
year = "2015",
doi = "10.1016/j.ijsolstr.2015.12.026",
language = "English (US)",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",

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T1 - A non-local 3D lattice particle framework for elastic solids

AU - Chen, Hailong

AU - Liu, Yongming

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N2 - A novel non-local lattice particle method for three-dimensional elasticity and fracture simulation of isotropic solids is proposed in this paper. First, the basic concept and detailed derivation of the proposed model are given. Three cubic lattice packing are investigated using the proposed model and simulation results are compared with classical finite element method solutions. The performance of these lattice structures are assessed using several benchmarks, for both deformation and brittle fracture problems. From the simulation results, good agreements with both analytical solution and experimental data are observed. Conclusions and future work are drawn based on this study.

AB - A novel non-local lattice particle method for three-dimensional elasticity and fracture simulation of isotropic solids is proposed in this paper. First, the basic concept and detailed derivation of the proposed model are given. Three cubic lattice packing are investigated using the proposed model and simulation results are compared with classical finite element method solutions. The performance of these lattice structures are assessed using several benchmarks, for both deformation and brittle fracture problems. From the simulation results, good agreements with both analytical solution and experimental data are observed. Conclusions and future work are drawn based on this study.

KW - 3D lattice spring model

KW - Brittle fracture

KW - Cubic lattice structures

KW - Elasticity

KW - Non-local interaction

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JF - International Journal of Solids and Structures

SN - 0020-7683

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