Peridynamic modeling for crack propagation analysis of materials

Won-Jun Chung, Erkan Oterkus, Jae-Myung Lee

Research output: Contribution to journalArticle

Abstract

In this paper, the computer simulations are carried out by using the peridynamic theory model with various conditions including quasi-static loads, dynamic loads and crack propagation, branching crack pattern and isotropic materials, orthotropic materials. Three examples, a plate with a hole under quasi-static loading, a plate with a pre-existing crack under dynamic loading and a lamina with a pre-existing crack under quasi-static loading are analyzed by computational simulations. In order to simulate the quasi-static load, an adaptive dynamic relaxation technique is used. In the orthotropic material analysis, a homogenization method is used considering the strain energy density ratio between the classical continuum mechanics and the peridynamic. As a result, crack propagation and branching cracks are observed successfully and the direction and initiation of the crack are also captured within the peridynamic modeling. In case of applying peridynamic used homogenization method to a relatively complicated orthotropic material, it is also verified by comparing with experimental results
LanguageMultiple languages
Pages105-114
Number of pages9
JournalJournal of the Computational Structural Engineering Institute of Korea
Volume31
Issue number2
DOIs
Publication statusPublished - 30 Apr 2018

Keywords

  • peridynamic
  • fracture mechanics
  • non-local theory
  • homogenization

Cite this

@article{f329f64c72fa49cea6b13643eb58cfc8,
title = "Peridynamic modeling for crack propagation analysis of materials",
abstract = "In this paper, the computer simulations are carried out by using the peridynamic theory model with various conditions including quasi-static loads, dynamic loads and crack propagation, branching crack pattern and isotropic materials, orthotropic materials. Three examples, a plate with a hole under quasi-static loading, a plate with a pre-existing crack under dynamic loading and a lamina with a pre-existing crack under quasi-static loading are analyzed by computational simulations. In order to simulate the quasi-static load, an adaptive dynamic relaxation technique is used. In the orthotropic material analysis, a homogenization method is used considering the strain energy density ratio between the classical continuum mechanics and the peridynamic. As a result, crack propagation and branching cracks are observed successfully and the direction and initiation of the crack are also captured within the peridynamic modeling. In case of applying peridynamic used homogenization method to a relatively complicated orthotropic material, it is also verified by comparing with experimental results",
keywords = "peridynamic, fracture mechanics, non-local theory, homogenization",
author = "Won-Jun Chung and Erkan Oterkus and Jae-Myung Lee",
year = "2018",
month = "4",
day = "30",
doi = "10.7734/COSEIK.2018.31.2.105",
language = "Multiple languages",
volume = "31",
pages = "105--114",
journal = "Journal of the Computational Structural Engineering Institute of Korea",
issn = "1229-3059",
number = "2",

}

Peridynamic modeling for crack propagation analysis of materials. / Chung, Won-Jun; Oterkus, Erkan; Lee, Jae-Myung.

In: Journal of the Computational Structural Engineering Institute of Korea, Vol. 31, No. 2, 30.04.2018, p. 105-114.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Peridynamic modeling for crack propagation analysis of materials

AU - Chung, Won-Jun

AU - Oterkus, Erkan

AU - Lee, Jae-Myung

PY - 2018/4/30

Y1 - 2018/4/30

N2 - In this paper, the computer simulations are carried out by using the peridynamic theory model with various conditions including quasi-static loads, dynamic loads and crack propagation, branching crack pattern and isotropic materials, orthotropic materials. Three examples, a plate with a hole under quasi-static loading, a plate with a pre-existing crack under dynamic loading and a lamina with a pre-existing crack under quasi-static loading are analyzed by computational simulations. In order to simulate the quasi-static load, an adaptive dynamic relaxation technique is used. In the orthotropic material analysis, a homogenization method is used considering the strain energy density ratio between the classical continuum mechanics and the peridynamic. As a result, crack propagation and branching cracks are observed successfully and the direction and initiation of the crack are also captured within the peridynamic modeling. In case of applying peridynamic used homogenization method to a relatively complicated orthotropic material, it is also verified by comparing with experimental results

AB - In this paper, the computer simulations are carried out by using the peridynamic theory model with various conditions including quasi-static loads, dynamic loads and crack propagation, branching crack pattern and isotropic materials, orthotropic materials. Three examples, a plate with a hole under quasi-static loading, a plate with a pre-existing crack under dynamic loading and a lamina with a pre-existing crack under quasi-static loading are analyzed by computational simulations. In order to simulate the quasi-static load, an adaptive dynamic relaxation technique is used. In the orthotropic material analysis, a homogenization method is used considering the strain energy density ratio between the classical continuum mechanics and the peridynamic. As a result, crack propagation and branching cracks are observed successfully and the direction and initiation of the crack are also captured within the peridynamic modeling. In case of applying peridynamic used homogenization method to a relatively complicated orthotropic material, it is also verified by comparing with experimental results

KW - peridynamic

KW - fracture mechanics

KW - non-local theory

KW - homogenization

UR - http://www.jcoseik.or.kr/index.php

U2 - 10.7734/COSEIK.2018.31.2.105

DO - 10.7734/COSEIK.2018.31.2.105

M3 - Article

VL - 31

SP - 105

EP - 114

JO - Journal of the Computational Structural Engineering Institute of Korea

T2 - Journal of the Computational Structural Engineering Institute of Korea

JF - Journal of the Computational Structural Engineering Institute of Korea

SN - 1229-3059

IS - 2

ER -