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

Changyu Meng, Yongming Liu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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
Volume243
DOIs
StatePublished - May 15 2022

Keywords

  • 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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