Hierarchical, adaptive, material point method for dynamic energy release rate calculations

Honglai Tan, John A. Nairn* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


A crack-closure method was developed for use in material point method (MPM) calculations. The method can be used for calculation of the dynamic energy release rate in a variety of dynamic fracture mechanics problems. Most previous MPM analyses have used regular grids and a “lumped” mass matrix. For the most accurate energy release rate calculations, the regular grid had to be replaced by an adaptive grid that automatically refined the mesh around the crack tip and the lumped mass matrix had to be replaced by a full mass matrix. Using an adaptive mesh was more important to accuracy than was switching to a full mass matrix. Some sample calculations are given for energy release rate in a double cantilever beam specimen carried out by several different MPM methods.
Original languageEnglish
Pages (from-to)2123-2137
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Issue number19
Early online date8 Jan 2002
Publication statusPublished - 1 Mar 2002

Bibliographical note

This work was supported by the University of Utah Center for the Simulation of Accidental Fires and Explosions (C-SAFE), funded by the Department of Energy, Lawrence Livermore National Laboratory, under subcontract B341493.


  • Material point method
  • Fracture
  • Energy release rate
  • Adaptive mesh
  • Fracture mechanics


Dive into the research topics of 'Hierarchical, adaptive, material point method for dynamic energy release rate calculations'. Together they form a unique fingerprint.

Cite this