Computer implementation of damage models by finite element and meshfree methods

Su Hao, Wing Kam Liu*, Chin Tang Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


A computational methodology of a micromechanics cell model is proposed to establish the constitutive law during material fracture. As an application example, the ductile fracture process has been investigated and a new model parameter function for damage is obtained based on a computational cell modeling technique. Aspects of computer implementation for finite element and meshfree methods are described. The technique is applied to numerical examples including necking behavior of a tensile bar, a cracked panel under tension, an edge notched panel under pure bending, a plane strain plate under compression, and the ductile tearing with large deformation of a notch-bend specimen. The applications of Reproducing Kernel Particle Method (RKPM) for the ductile fracture process involving damage evolution is studied and multiresolution analysis has also been performed on shear bands. The analytical and numerical results confirm that the proposed computational methodology provides an effective way to establish the relationship between macroscale and microscale mechanical behaviors, in conjunction with considering material heterogeneities such as damage at various scales. The numerical results also show that the multiple scale RKPM possesses a strong ability to capture the physical phenomena such as shear band, large deformation, and the material instability during damage evolution.

Original languageEnglish (US)
Pages (from-to)401-440
Number of pages40
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3-4
StatePublished - Jul 7 2000


  • Cell model
  • Constitutive law
  • Crack growth
  • Damage
  • Gurson model
  • HLC model
  • Plasticity
  • Representative volume element (RVE)
  • Shear band

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


Dive into the research topics of 'Computer implementation of damage models by finite element and meshfree methods'. Together they form a unique fingerprint.

Cite this