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

Honglai Tan; John A. Nairn

doi:10.1016/S0045-7825(01)00377-2

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

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

^*Corresponding author for this work

Engineering

University of Utah

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	2123-2137
Number of pages	15
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	191
Issue number	19
Early online date	8 Jan 2002
DOIs	https://doi.org/10.1016/S0045-7825(01)00377-2
Publication status	Published - 1 Mar 2002

Bibliographical note

Acknowledgments
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.

Keywords

Material point method
Fracture
Energy release rate
Adaptive mesh
Fracture mechanics

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Cite this

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

abstract = "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.",

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N2 - 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.

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

Abstract

Bibliographical note

Keywords

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