Fundamental study on the evaluation and applicability as a mixed-mode fracture criterion of crack energy density in an arbitrary direction

Takao Utsunomiya, Katsuhiko Watanabe

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

It has previously been shown that crack energy density can be defined in any direction at a crack tip without any restrictions on constitutive equations. The crack energy density, εφ, in an arbitrary direction can be divided into the contributions of each mode (εphi = εphiI+ εphiII+ εphiIII; εphiI, εphiII and εphiIII are the contributions of modes I, II and III, respectively), which can be evaluated by path-independent integrals corresponding to each. These are defined for a completely sharp crack as the limits where the notch root radius ρ approaches zero in a notch model. Therefore, it is necessary to use a notch model with a sufficiently small value of ρ in evaluations of the quantities through FEM. In this paper, εphi and εphiI are evaluated by path-independent integrals through elastic-plastic finite element analyses varying the value of ρ, and we discuss which of ρ should be adopted in evaluations of them.

Original languageEnglish
Pages (from-to)1832-1839
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume55
Issue number516
Publication statusPublished - 1989 Aug
Externally publishedYes

Fingerprint

Cracks
Constitutive equations
Crack tips
Plastics
Finite element method
Direction compound

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

@article{6491562ccf80468787de2a882759c0b3,
title = "Fundamental study on the evaluation and applicability as a mixed-mode fracture criterion of crack energy density in an arbitrary direction",
abstract = "It has previously been shown that crack energy density can be defined in any direction at a crack tip without any restrictions on constitutive equations. The crack energy density, εφ, in an arbitrary direction can be divided into the contributions of each mode (εphi = εphiI+ εphiII+ εphiIII; εphiI, εphiII and εphiIII are the contributions of modes I, II and III, respectively), which can be evaluated by path-independent integrals corresponding to each. These are defined for a completely sharp crack as the limits where the notch root radius ρ approaches zero in a notch model. Therefore, it is necessary to use a notch model with a sufficiently small value of ρ in evaluations of the quantities through FEM. In this paper, εphi and εphiI are evaluated by path-independent integrals through elastic-plastic finite element analyses varying the value of ρ, and we discuss which of ρ should be adopted in evaluations of them.",
author = "Takao Utsunomiya and Katsuhiko Watanabe",
year = "1989",
month = "8",
language = "English",
volume = "55",
pages = "1832--1839",
journal = "Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A",
issn = "0387-5008",
publisher = "Japan Society of Mechanical Engineers",
number = "516",

}

TY - JOUR

T1 - Fundamental study on the evaluation and applicability as a mixed-mode fracture criterion of crack energy density in an arbitrary direction

AU - Utsunomiya, Takao

AU - Watanabe, Katsuhiko

PY - 1989/8

Y1 - 1989/8

N2 - It has previously been shown that crack energy density can be defined in any direction at a crack tip without any restrictions on constitutive equations. The crack energy density, εφ, in an arbitrary direction can be divided into the contributions of each mode (εphi = εphiI+ εphiII+ εphiIII; εphiI, εphiII and εphiIII are the contributions of modes I, II and III, respectively), which can be evaluated by path-independent integrals corresponding to each. These are defined for a completely sharp crack as the limits where the notch root radius ρ approaches zero in a notch model. Therefore, it is necessary to use a notch model with a sufficiently small value of ρ in evaluations of the quantities through FEM. In this paper, εphi and εphiI are evaluated by path-independent integrals through elastic-plastic finite element analyses varying the value of ρ, and we discuss which of ρ should be adopted in evaluations of them.

AB - It has previously been shown that crack energy density can be defined in any direction at a crack tip without any restrictions on constitutive equations. The crack energy density, εφ, in an arbitrary direction can be divided into the contributions of each mode (εphi = εphiI+ εphiII+ εphiIII; εphiI, εphiII and εphiIII are the contributions of modes I, II and III, respectively), which can be evaluated by path-independent integrals corresponding to each. These are defined for a completely sharp crack as the limits where the notch root radius ρ approaches zero in a notch model. Therefore, it is necessary to use a notch model with a sufficiently small value of ρ in evaluations of the quantities through FEM. In this paper, εphi and εphiI are evaluated by path-independent integrals through elastic-plastic finite element analyses varying the value of ρ, and we discuss which of ρ should be adopted in evaluations of them.

UR - http://www.scopus.com/inward/record.url?scp=0024715416&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024715416&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0024715416

VL - 55

SP - 1832

EP - 1839

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 516

ER -