Finite element model for brittle fracture and fragmentation

Wei Li; Tristan J. Delaney; Xiangmin Jiao; Roman Samulyak; Cao Lu

doi:10.1016/j.procs.2016.05.317

Finite element model for brittle fracture and fragmentation

Wei Li
, Tristan J. Delaney
, Xiangmin Jiao
, Roman Samulyak
, Cao Lu

Stony Brook University

Stony Brook University

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geometrical constraints using the method of Lagrange multipliers have been incorporated. The model has been applied to 2D simulations of the formation and propagation of cracks in brittle materials, and the fracture and fragmentation of stretched and compressed materials.

Original language	English
Pages (from-to)	245-256
Number of pages	12
Journal	Procedia Computer Science
Volume	80
DOIs	https://doi.org/10.1016/j.procs.2016.05.317
State	Published - 2016
Event	International Conference on Computational Science, ICCS 2016 - San Diego, United States Duration: Jun 6 2016 → Jun 8 2016

Keywords

Brittle fracture
Collision detection
Finite elements method
Fragmentation
Nonlinear elasticity

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10.1016/j.procs.2016.05.317

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@article{1856e7adb6984ae499c0369f1104b345,

title = "Finite element model for brittle fracture and fragmentation",

abstract = "A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geometrical constraints using the method of Lagrange multipliers have been incorporated. The model has been applied to 2D simulations of the formation and propagation of cracks in brittle materials, and the fracture and fragmentation of stretched and compressed materials.",

keywords = "Brittle fracture, Collision detection, Finite elements method, Fragmentation, Nonlinear elasticity",

author = "Wei Li and Delaney, \{Tristan J.\} and Xiangmin Jiao and Roman Samulyak and Cao Lu",

note = "Publisher Copyright: {\textcopyright} The Authors. Published by Elsevier B.V.; International Conference on Computational Science, ICCS 2016 ; Conference date: 06-06-2016 Through 08-06-2016",

year = "2016",

doi = "10.1016/j.procs.2016.05.317",

language = "English",

volume = "80",

pages = "245--256",

journal = "Procedia Computer Science",

issn = "1877-0509",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Finite element model for brittle fracture and fragmentation

AU - Li, Wei

AU - Delaney, Tristan J.

AU - Jiao, Xiangmin

AU - Samulyak, Roman

AU - Lu, Cao

N1 - Publisher Copyright: © The Authors. Published by Elsevier B.V.

PY - 2016

Y1 - 2016

N2 - A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geometrical constraints using the method of Lagrange multipliers have been incorporated. The model has been applied to 2D simulations of the formation and propagation of cracks in brittle materials, and the fracture and fragmentation of stretched and compressed materials.

AB - A new computational model for brittle fracture and fragmentation has been developed based on finite element analysis of non-linear elasticity equations. The proposed model propagates the cracks by splitting the mesh nodes alongside the most over-strained edges based on the principal direction of strain tensor. To prevent elements from overlapping and folding under large deformations, robust geometrical constraints using the method of Lagrange multipliers have been incorporated. The model has been applied to 2D simulations of the formation and propagation of cracks in brittle materials, and the fracture and fragmentation of stretched and compressed materials.

KW - Brittle fracture

KW - Collision detection

KW - Finite elements method

KW - Fragmentation

KW - Nonlinear elasticity

UR - https://www.scopus.com/pages/publications/84978496738

U2 - 10.1016/j.procs.2016.05.317

DO - 10.1016/j.procs.2016.05.317

M3 - Conference article

SN - 1877-0509

VL - 80

SP - 245

EP - 256

JO - Procedia Computer Science

JF - Procedia Computer Science

T2 - International Conference on Computational Science, ICCS 2016

Y2 - 6 June 2016 through 8 June 2016

ER -

Finite element model for brittle fracture and fragmentation

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Keywords

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