Evaluation of mode I stress intensity factors for edge cracks from 2-D V-notches using composition of constituent SIF weight functions

L. S. Teh, F. P. Brennan

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Stress intensity factor (SIF) weight functions for an edge crack emanating from a single edge V-notch in a finite strip is defined in terms of its constituent SIF weight functions. Solutions are achieved by applying the closed form composition model developed from the composition theory for SIF weight functions [Brennan FP, Teh LS. Determination of crack tip stress intensity factors in complex geometries by composition of weight function solutions. Fatigue Fract Eng Mater Struct 2004;27:1-7]. To overcome the shortage of available constituent reference solutions, finite element analysis (FEA) was employed to evaluate SIFs and the associated stress fields for V-notches. The FEA results were shown to be within 5% of those achieved from the analytical solution. The paper presents weight function coefficients, Cij, for V-notches in semi-infinite bodies which used with the composition model provides extensive SIF solutions for 2-D V-notches under any symmetrical stress system. More importantly, this paper demonstrates the robustness and mathematical simplicity of the composition principle that is independent of the influences of stresses in evaluating new sets of SIF solutions.

LanguageEnglish
Pages1253-1268
Number of pages16
JournalInternational Journal of Fatigue
Volume29
Issue number7
DOIs
Publication statusPublished - 1 Jul 2007

Fingerprint

V-notch
Stress Intensity Factor
Stress intensity factors
Weight Function
Crack
Cracks
Evaluation
Chemical analysis
Finite element method
Finite Element Solution
Complex Geometry
Crack Tip
Shortage
Stress Field
Crack tips
Fatigue
Strip
Simplicity
Analytical Solution
Closed-form

Keywords

  • composition
  • constituent reference solutions
  • finite element analysis
  • SIF weight function
  • V-notch

Cite this

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title = "Evaluation of mode I stress intensity factors for edge cracks from 2-D V-notches using composition of constituent SIF weight functions",
abstract = "Stress intensity factor (SIF) weight functions for an edge crack emanating from a single edge V-notch in a finite strip is defined in terms of its constituent SIF weight functions. Solutions are achieved by applying the closed form composition model developed from the composition theory for SIF weight functions [Brennan FP, Teh LS. Determination of crack tip stress intensity factors in complex geometries by composition of weight function solutions. Fatigue Fract Eng Mater Struct 2004;27:1-7]. To overcome the shortage of available constituent reference solutions, finite element analysis (FEA) was employed to evaluate SIFs and the associated stress fields for V-notches. The FEA results were shown to be within 5{\%} of those achieved from the analytical solution. The paper presents weight function coefficients, Cij, for V-notches in semi-infinite bodies which used with the composition model provides extensive SIF solutions for 2-D V-notches under any symmetrical stress system. More importantly, this paper demonstrates the robustness and mathematical simplicity of the composition principle that is independent of the influences of stresses in evaluating new sets of SIF solutions.",
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AU - Teh, L. S.

AU - Brennan, F. P.

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N2 - Stress intensity factor (SIF) weight functions for an edge crack emanating from a single edge V-notch in a finite strip is defined in terms of its constituent SIF weight functions. Solutions are achieved by applying the closed form composition model developed from the composition theory for SIF weight functions [Brennan FP, Teh LS. Determination of crack tip stress intensity factors in complex geometries by composition of weight function solutions. Fatigue Fract Eng Mater Struct 2004;27:1-7]. To overcome the shortage of available constituent reference solutions, finite element analysis (FEA) was employed to evaluate SIFs and the associated stress fields for V-notches. The FEA results were shown to be within 5% of those achieved from the analytical solution. The paper presents weight function coefficients, Cij, for V-notches in semi-infinite bodies which used with the composition model provides extensive SIF solutions for 2-D V-notches under any symmetrical stress system. More importantly, this paper demonstrates the robustness and mathematical simplicity of the composition principle that is independent of the influences of stresses in evaluating new sets of SIF solutions.

AB - Stress intensity factor (SIF) weight functions for an edge crack emanating from a single edge V-notch in a finite strip is defined in terms of its constituent SIF weight functions. Solutions are achieved by applying the closed form composition model developed from the composition theory for SIF weight functions [Brennan FP, Teh LS. Determination of crack tip stress intensity factors in complex geometries by composition of weight function solutions. Fatigue Fract Eng Mater Struct 2004;27:1-7]. To overcome the shortage of available constituent reference solutions, finite element analysis (FEA) was employed to evaluate SIFs and the associated stress fields for V-notches. The FEA results were shown to be within 5% of those achieved from the analytical solution. The paper presents weight function coefficients, Cij, for V-notches in semi-infinite bodies which used with the composition model provides extensive SIF solutions for 2-D V-notches under any symmetrical stress system. More importantly, this paper demonstrates the robustness and mathematical simplicity of the composition principle that is independent of the influences of stresses in evaluating new sets of SIF solutions.

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