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.
| Language | English |
|---|---|
| Pages | 1253-1268 |
| Number of pages | 16 |
| Journal | International Journal of Fatigue |
| Volume | 29 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2007 |
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Keywords
- composition
- constituent reference solutions
- finite element analysis
- SIF weight function
- V-notch
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Evaluation of mode I stress intensity factors for edge cracks from 2-D V-notches using composition of constituent SIF weight functions. / Teh, L. S.; Brennan, F. P.
In: International Journal of Fatigue, Vol. 29, No. 7, 01.07.2007, p. 1253-1268.Research output: Contribution to journal › Article
TY - JOUR
T1 - Evaluation of mode I stress intensity factors for edge cracks from 2-D V-notches using composition of constituent SIF weight functions
AU - Teh, L. S.
AU - Brennan, F. P.
PY - 2007/7/1
Y1 - 2007/7/1
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.
KW - composition
KW - constituent reference solutions
KW - finite element analysis
KW - SIF weight function
KW - V-notch
UR - http://www.scopus.com/inward/record.url?scp=33947246048&partnerID=8YFLogxK
U2 - 10.1016/j.ijfatigue.2006.10.012
DO - 10.1016/j.ijfatigue.2006.10.012
M3 - Article
VL - 29
SP - 1253
EP - 1268
JO - International Journal of Fatigue
T2 - International Journal of Fatigue
JF - International Journal of Fatigue
SN - 0142-1123
IS - 7
ER -