Multiple scale meshfree methods for damage fracture and localization

Wing Kam Liu*, Su Hao, Ted Belytschko, Shao Fan Li, Chin Tang Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

85 Scopus citations


The Reproducing Kernel Particle Method (RKPM), which utilizes the fundamental notions of the convolution theorem, multiresolution analysis and meshfree properties, is reviewed. The multiple-scale RKPMs are then proposed as an alternative to commonly used numerical methods such as the finite element method. The elimination of a mesh, combined with the filtering properties of window functions, makes a particle method suitable for problems with large deformations, high gradients, and localization problems. This class of methods has been applied to shear band problems, and large deformation fracture and damage problems.

Original languageEnglish (US)
Pages (from-to)197-205
Number of pages9
JournalComputational Materials Science
Issue number1-4
StatePublished - Dec 1999


  • Damage
  • Finite element
  • Fracture
  • Large deformation
  • Localization
  • Meshfree methods
  • Methods
  • Multiple scale
  • Shear band

ASJC Scopus subject areas

  • Computer Science(all)
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mathematics


Dive into the research topics of 'Multiple scale meshfree methods for damage fracture and localization'. Together they form a unique fingerprint.

Cite this