A computational approach based on ordinary state-based peridynamics with new transition bond for dynamic fracture analysis

Michiya Imachi, Satoyuki Tanaka, Tinh Quoc Bui, Selda Oterkus, Erkan Oterkus

Research output: Contribution to journalArticle

Abstract

The recently developed ordinary state-based peridynamics (OSPD) is further enhanced to study elastodynamic propagating crack based on the dynamic stress intensity factors (DSIFs). The displacement discontinuity such as a crack surface is represented by a bond-failure. Variations of the mixed-mode DSIFs with time are evaluated by the interaction integral method for the dynamic crack propagation. In terms of OSPD fracture modeling, numerical oscillation of DSIFs becomes a critical issue during the evolution of a crack. To overcome this numerical oscillation problem, we introduce a new model of bond-failure, the transition bond. The enhanced OSPD approach using the new transition bond model offers accurate and acceptable results, suppressing the numerical oscillation of responses and reflecting an effective approach. The effects of different types of transition bond are numerically analyzed. Accuracy of the DSIFs is examined employing the various damping parameters and effectiveness of the new PD fracture model is verified. The Kalthoff-Winkler impact test is considered for evaluating the mixed-mode DSIFs and the crack paths.
LanguageEnglish
Number of pages33
JournalEngineering Fracture Mechanics
Early online date6 Dec 2018
DOIs
StateE-pub ahead of print - 6 Dec 2018

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Stress intensity factors
Cracks
Crack propagation
Damping

Keywords

  • peridynamics
  • dynamic tracture
  • dynamic stress intensity factors
  • crack propagation

Cite this

@article{ecafbb6738f24f5a8c4aedc9425ed57c,
title = "A computational approach based on ordinary state-based peridynamics with new transition bond for dynamic fracture analysis",
abstract = "The recently developed ordinary state-based peridynamics (OSPD) is further enhanced to study elastodynamic propagating crack based on the dynamic stress intensity factors (DSIFs). The displacement discontinuity such as a crack surface is represented by a bond-failure. Variations of the mixed-mode DSIFs with time are evaluated by the interaction integral method for the dynamic crack propagation. In terms of OSPD fracture modeling, numerical oscillation of DSIFs becomes a critical issue during the evolution of a crack. To overcome this numerical oscillation problem, we introduce a new model of bond-failure, the transition bond. The enhanced OSPD approach using the new transition bond model offers accurate and acceptable results, suppressing the numerical oscillation of responses and reflecting an effective approach. The effects of different types of transition bond are numerically analyzed. Accuracy of the DSIFs is examined employing the various damping parameters and effectiveness of the new PD fracture model is verified. The Kalthoff-Winkler impact test is considered for evaluating the mixed-mode DSIFs and the crack paths.",
keywords = "peridynamics, dynamic tracture, dynamic stress intensity factors, crack propagation",
author = "Michiya Imachi and Satoyuki Tanaka and Bui, {Tinh Quoc} and Selda Oterkus and Erkan Oterkus",
year = "2018",
month = "12",
day = "6",
doi = "10.1016/j.engfracmech.2018.11.054",
language = "English",
journal = "Engineering Fracture Mechanics",
issn = "0013-7944",

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TY - JOUR

T1 - A computational approach based on ordinary state-based peridynamics with new transition bond for dynamic fracture analysis

AU - Imachi,Michiya

AU - Tanaka,Satoyuki

AU - Bui,Tinh Quoc

AU - Oterkus,Selda

AU - Oterkus,Erkan

PY - 2018/12/6

Y1 - 2018/12/6

N2 - The recently developed ordinary state-based peridynamics (OSPD) is further enhanced to study elastodynamic propagating crack based on the dynamic stress intensity factors (DSIFs). The displacement discontinuity such as a crack surface is represented by a bond-failure. Variations of the mixed-mode DSIFs with time are evaluated by the interaction integral method for the dynamic crack propagation. In terms of OSPD fracture modeling, numerical oscillation of DSIFs becomes a critical issue during the evolution of a crack. To overcome this numerical oscillation problem, we introduce a new model of bond-failure, the transition bond. The enhanced OSPD approach using the new transition bond model offers accurate and acceptable results, suppressing the numerical oscillation of responses and reflecting an effective approach. The effects of different types of transition bond are numerically analyzed. Accuracy of the DSIFs is examined employing the various damping parameters and effectiveness of the new PD fracture model is verified. The Kalthoff-Winkler impact test is considered for evaluating the mixed-mode DSIFs and the crack paths.

AB - The recently developed ordinary state-based peridynamics (OSPD) is further enhanced to study elastodynamic propagating crack based on the dynamic stress intensity factors (DSIFs). The displacement discontinuity such as a crack surface is represented by a bond-failure. Variations of the mixed-mode DSIFs with time are evaluated by the interaction integral method for the dynamic crack propagation. In terms of OSPD fracture modeling, numerical oscillation of DSIFs becomes a critical issue during the evolution of a crack. To overcome this numerical oscillation problem, we introduce a new model of bond-failure, the transition bond. The enhanced OSPD approach using the new transition bond model offers accurate and acceptable results, suppressing the numerical oscillation of responses and reflecting an effective approach. The effects of different types of transition bond are numerically analyzed. Accuracy of the DSIFs is examined employing the various damping parameters and effectiveness of the new PD fracture model is verified. The Kalthoff-Winkler impact test is considered for evaluating the mixed-mode DSIFs and the crack paths.

KW - peridynamics

KW - dynamic tracture

KW - dynamic stress intensity factors

KW - crack propagation

UR - https://www.sciencedirect.com/journal/engineering-fracture-mechanics

U2 - 10.1016/j.engfracmech.2018.11.054

DO - 10.1016/j.engfracmech.2018.11.054

M3 - Article

JO - Engineering Fracture Mechanics

T2 - Engineering Fracture Mechanics

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SN - 0013-7944

ER -