Stress intensity factors for cracks emanating from two-dimensional semicircular notches using the composition of SIF weight functions

L. S. Teh, F. P. Brennan

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

This paper presents stress intensity factor (SIF) solutions for edge cracks emanating from semicircular notches using the composition of SIF weight functions. The method isolates and combines the geometrical influences defined by constitutive SIF weight functions to yield SIFs for semicircular notches in finite thickness bodies. Finite element analysis was employed to obtain the required stress distributions and to generate reference constitutive SIFs. Problems encountered with curve fitting high gradient stress distributions were addressed and a robust mathematical solution for these was formulated. The new SIF solutions were verified by comparison with published solutions showing a high degree of accuracy and reliability. The composition model was demonstrated to allow rapid generation of SIFs for mode I cracks in complex geometries where the relevant simple constitutive solutions are available. These new solutions expressed as SIF weight functions allow interpolation between the geometrical parameters for which they are valid and also to include the effect of complex stress distributions such as those due to residual stresses.

LanguageEnglish
Pages423-435
Number of pages13
JournalFatigue and Fracture of Engineering Materials and Structures
Volume28
Issue number5
DOIs
Publication statusPublished - 1 May 2005

Fingerprint

Stress intensity factors
Cracks
Stress concentration
Chemical analysis
Curve fitting
Residual stresses
Interpolation
Finite element method
Geometry

Keywords

  • composition
  • constitutive weight functions
  • stress intensity factor
  • weight function
  • weight function coefficients
  • stress intensity factors

Cite this

@article{12fa95646dff40378c504cebc7779609,
title = "Stress intensity factors for cracks emanating from two-dimensional semicircular notches using the composition of SIF weight functions",
abstract = "This paper presents stress intensity factor (SIF) solutions for edge cracks emanating from semicircular notches using the composition of SIF weight functions. The method isolates and combines the geometrical influences defined by constitutive SIF weight functions to yield SIFs for semicircular notches in finite thickness bodies. Finite element analysis was employed to obtain the required stress distributions and to generate reference constitutive SIFs. Problems encountered with curve fitting high gradient stress distributions were addressed and a robust mathematical solution for these was formulated. The new SIF solutions were verified by comparison with published solutions showing a high degree of accuracy and reliability. The composition model was demonstrated to allow rapid generation of SIFs for mode I cracks in complex geometries where the relevant simple constitutive solutions are available. These new solutions expressed as SIF weight functions allow interpolation between the geometrical parameters for which they are valid and also to include the effect of complex stress distributions such as those due to residual stresses.",
keywords = "composition, constitutive weight functions, stress intensity factor, weight function, weight function coefficients, stress intensity factors",
author = "Teh, {L. S.} and Brennan, {F. P.}",
year = "2005",
month = "5",
day = "1",
doi = "10.1111/j.1460-2695.2005.00872.x",
language = "English",
volume = "28",
pages = "423--435",
journal = "Fatigue and Fracture of Engineering Materials and Structures",
issn = "8756-758X",
number = "5",

}

TY - JOUR

T1 - Stress intensity factors for cracks emanating from two-dimensional semicircular notches using the composition of SIF weight functions

AU - Teh, L. S.

AU - Brennan, F. P.

PY - 2005/5/1

Y1 - 2005/5/1

N2 - This paper presents stress intensity factor (SIF) solutions for edge cracks emanating from semicircular notches using the composition of SIF weight functions. The method isolates and combines the geometrical influences defined by constitutive SIF weight functions to yield SIFs for semicircular notches in finite thickness bodies. Finite element analysis was employed to obtain the required stress distributions and to generate reference constitutive SIFs. Problems encountered with curve fitting high gradient stress distributions were addressed and a robust mathematical solution for these was formulated. The new SIF solutions were verified by comparison with published solutions showing a high degree of accuracy and reliability. The composition model was demonstrated to allow rapid generation of SIFs for mode I cracks in complex geometries where the relevant simple constitutive solutions are available. These new solutions expressed as SIF weight functions allow interpolation between the geometrical parameters for which they are valid and also to include the effect of complex stress distributions such as those due to residual stresses.

AB - This paper presents stress intensity factor (SIF) solutions for edge cracks emanating from semicircular notches using the composition of SIF weight functions. The method isolates and combines the geometrical influences defined by constitutive SIF weight functions to yield SIFs for semicircular notches in finite thickness bodies. Finite element analysis was employed to obtain the required stress distributions and to generate reference constitutive SIFs. Problems encountered with curve fitting high gradient stress distributions were addressed and a robust mathematical solution for these was formulated. The new SIF solutions were verified by comparison with published solutions showing a high degree of accuracy and reliability. The composition model was demonstrated to allow rapid generation of SIFs for mode I cracks in complex geometries where the relevant simple constitutive solutions are available. These new solutions expressed as SIF weight functions allow interpolation between the geometrical parameters for which they are valid and also to include the effect of complex stress distributions such as those due to residual stresses.

KW - composition

KW - constitutive weight functions

KW - stress intensity factor

KW - weight function

KW - weight function coefficients

KW - stress intensity factors

UR - http://www.scopus.com/inward/record.url?scp=17744364893&partnerID=8YFLogxK

U2 - 10.1111/j.1460-2695.2005.00872.x

DO - 10.1111/j.1460-2695.2005.00872.x

M3 - Article

VL - 28

SP - 423

EP - 435

JO - Fatigue and Fracture of Engineering Materials and Structures

T2 - Fatigue and Fracture of Engineering Materials and Structures

JF - Fatigue and Fracture of Engineering Materials and Structures

SN - 8756-758X

IS - 5

ER -