Energy release rate cannot predict crack initiation orientation in domains with a sharp V-notch under mode III loading

Brigit Mittelman; Zohar Yosibash

doi:10.1016/j.engfracmech.2015.05.008

Energy release rate cannot predict crack initiation orientation in domains with a sharp V-notch under mode III loading

Brigit Mittelman, Zohar Yosibash^*

^*Corresponding author for this work

Ben-Gurion University of the Negev

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

12 Scopus citations

Abstract

The energy release rate (ERR) proposed by Irwin based on a theory by Griffith (1920) and Irwin (1957) has been extensively used as a fracture criterion in 2D for brittle domains. Under in-plane mixed mode loading (modes I+II), the direction of crack initiation from cracks and sharp V-notches was determined by the orientation at which the ERR attains its maximum.Using the newly developed asymptotic expansion presented in Mittelman (2014) verified by direct results from finite element analyses we demonstrate that the ERR under mode III cannot predict the fracture initiation direction correctly. The ERR maximum value is always obtained along the V-notch bisector, contrary to experimental observations. This forbids the ERR to be applied as a failure initiation criterion in cases where mode III is dominant.

Original language	English
Pages (from-to)	230-241
Number of pages	12
Journal	Engineering Fracture Mechanics
Volume	141
DOIs	https://doi.org/10.1016/j.engfracmech.2015.05.008
State	Published - 1 Jun 2015
Externally published	Yes

Funding

Funders	Funder number
Israel Science Foundation	593/14

Keywords

3D singularities
Failure criterion
Potential energy
V-notch

Access to Document

10.1016/j.engfracmech.2015.05.008

Cite this

@article{14e399255d934bae9c258c7d494dc1df,

title = "Energy release rate cannot predict crack initiation orientation in domains with a sharp V-notch under mode III loading",

abstract = "The energy release rate (ERR) proposed by Irwin based on a theory by Griffith (1920) and Irwin (1957) has been extensively used as a fracture criterion in 2D for brittle domains. Under in-plane mixed mode loading (modes I+II), the direction of crack initiation from cracks and sharp V-notches was determined by the orientation at which the ERR attains its maximum.Using the newly developed asymptotic expansion presented in Mittelman (2014) verified by direct results from finite element analyses we demonstrate that the ERR under mode III cannot predict the fracture initiation direction correctly. The ERR maximum value is always obtained along the V-notch bisector, contrary to experimental observations. This forbids the ERR to be applied as a failure initiation criterion in cases where mode III is dominant.",

keywords = "3D singularities, Failure criterion, Potential energy, V-notch",

author = "Brigit Mittelman and Zohar Yosibash",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",

year = "2015",

month = jun,

day = "1",

doi = "10.1016/j.engfracmech.2015.05.008",

language = "אנגלית",

volume = "141",

pages = "230--241",

journal = "Engineering Fracture Mechanics",

issn = "0013-7944",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Energy release rate cannot predict crack initiation orientation in domains with a sharp V-notch under mode III loading

AU - Mittelman, Brigit

AU - Yosibash, Zohar

PY - 2015/6/1

Y1 - 2015/6/1

N2 - The energy release rate (ERR) proposed by Irwin based on a theory by Griffith (1920) and Irwin (1957) has been extensively used as a fracture criterion in 2D for brittle domains. Under in-plane mixed mode loading (modes I+II), the direction of crack initiation from cracks and sharp V-notches was determined by the orientation at which the ERR attains its maximum.Using the newly developed asymptotic expansion presented in Mittelman (2014) verified by direct results from finite element analyses we demonstrate that the ERR under mode III cannot predict the fracture initiation direction correctly. The ERR maximum value is always obtained along the V-notch bisector, contrary to experimental observations. This forbids the ERR to be applied as a failure initiation criterion in cases where mode III is dominant.

AB - The energy release rate (ERR) proposed by Irwin based on a theory by Griffith (1920) and Irwin (1957) has been extensively used as a fracture criterion in 2D for brittle domains. Under in-plane mixed mode loading (modes I+II), the direction of crack initiation from cracks and sharp V-notches was determined by the orientation at which the ERR attains its maximum.Using the newly developed asymptotic expansion presented in Mittelman (2014) verified by direct results from finite element analyses we demonstrate that the ERR under mode III cannot predict the fracture initiation direction correctly. The ERR maximum value is always obtained along the V-notch bisector, contrary to experimental observations. This forbids the ERR to be applied as a failure initiation criterion in cases where mode III is dominant.

KW - 3D singularities

KW - Failure criterion

KW - Potential energy

KW - V-notch

UR - http://www.scopus.com/inward/record.url?scp=84930665120&partnerID=8YFLogxK

U2 - 10.1016/j.engfracmech.2015.05.008

DO - 10.1016/j.engfracmech.2015.05.008

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84930665120

SN - 0013-7944

VL - 141

SP - 230

EP - 241

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

ER -

Energy release rate cannot predict crack initiation orientation in domains with a sharp V-notch under mode III loading

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this