Damage-augmented nonlocal lattice particle method for fracture simulation of solids

Changyu Meng, Yongming Liu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Fracture of solids, particularly for ductile metallic materials, typically involves elastoplastic deformation and associated damaging processes. This paper proposes a general damage-augmented nonlocal lattice particle method (LPM) to model this coupled behavior. The concept of interchangeability between particle-wise and bond-wise properties in LPM is first introduced and validated. It is shown that tensors can naturally represent material state variables, which is rarely seen in most lattice methods. A tensor-based return-mapping algorithm based on implicit integration is thus implemented to simulate J2 plasticity. Next, the damage-augmented LPM is proposed to properly simulate the material deterioration by combining LPM with a nonlocal damage evolution rule. The proposed method can handle the brittle fracture and pure elastoplastic deformation and simulate ductile fracture phenomena with moderately large time steps. The particle-size/lattice dependency issues of macroscopic mechanical responses are reduced under the proposed framework. Numerical examples of predicting the elastoplastic behavior of engineering structures with/without damage and fracture are provided. Several conclusions and limitations of the proposed method are also discussed.

Original languageEnglish (US)
Article number111561
JournalInternational Journal of Solids and Structures
StatePublished - May 15 2022


  • Fracture
  • Lattice particle method
  • Nonlocal damage
  • Nonlocality
  • Plasticity

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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