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

Brigit Mittelman; Zohar Yosibash

doi:https://doi.org/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

Department of Mechanical Engineering

Ben-Gurion University of the Negev

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

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	American 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

Keywords

3D singularities
Failure criterion
Potential energy
V-notch

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
General Materials Science

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https://doi.org/10.1016/j.engfracmech.2015.05.008

Cite this

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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.",

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doi = "https://doi.org/10.1016/j.engfracmech.2015.05.008",

language = "American English",

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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

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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

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SN - 0013-7944

VL - 141

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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

Keywords

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