Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 433-446 |
| Number of pages | 13 |
| Journal | Journal of Strain Analysis for Engineering Design |
| Volume | 42 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 9 Mar 2007 |
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Keywords
- stress concentration factor
- notch interaction
- notch shielding
- slots
- steps
- U-grooves
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Fracture mechanics approach to design analysis of notches, steps and internal cut-outs in planar components. / Gray, T.G.F.; Wood, J.
In: Journal of Strain Analysis for Engineering Design, Vol. 42, No. 6, 09.03.2007, p. 433-446.Research output: Contribution to journal › Article
TY - JOUR
T1 - Fracture mechanics approach to design analysis of notches, steps and internal cut-outs in planar components
AU - Gray, T.G.F.
AU - Wood, J.
PY - 2007/3/9
Y1 - 2007/3/9
N2 - A new approach to the assessment and optimization of geometric stress-concentrating features is proposed on the basis of the correspondence between sharp crack or corner stressfield intensity factors and conventional elastic stress concentration factors (SCFs) for radiused transitions. This approach complements the application of finite element analysis (FEA) and the use of standard SCF data from the literature. The method makes it possible to develop closed-form solutions for SCFs in cases where corresponding solutions for the sharp crack geometries exist. This is helpful in the context of design optimization. The analytical basis of the correspondence is shown, together with the limits on applicability where stress-free boundaries near the stress concentrating feature are present or adjacent features interact. Examples are given which compare parametric results derived from FEA with closed-form solutions based on the proposed method. New information is given on the stress state at a 90° corner or width step, where the magnitude of the stress field intensity is related to that of the corresponding crack geometry. This correspondence enables the user to extend further the application of crack-tip stress-field intensity information to square-cornered steps, external U-grooves, and internal cut-outs.
AB - A new approach to the assessment and optimization of geometric stress-concentrating features is proposed on the basis of the correspondence between sharp crack or corner stressfield intensity factors and conventional elastic stress concentration factors (SCFs) for radiused transitions. This approach complements the application of finite element analysis (FEA) and the use of standard SCF data from the literature. The method makes it possible to develop closed-form solutions for SCFs in cases where corresponding solutions for the sharp crack geometries exist. This is helpful in the context of design optimization. The analytical basis of the correspondence is shown, together with the limits on applicability where stress-free boundaries near the stress concentrating feature are present or adjacent features interact. Examples are given which compare parametric results derived from FEA with closed-form solutions based on the proposed method. New information is given on the stress state at a 90° corner or width step, where the magnitude of the stress field intensity is related to that of the corresponding crack geometry. This correspondence enables the user to extend further the application of crack-tip stress-field intensity information to square-cornered steps, external U-grooves, and internal cut-outs.
KW - stress concentration factor
KW - notch interaction
KW - notch shielding
KW - slots
KW - steps
KW - U-grooves
U2 - 10.1243/03093247JSA299
DO - 10.1243/03093247JSA299
M3 - Article
VL - 42
SP - 433
EP - 446
JO - Journal of Strain Analysis for Engineering Design
JF - Journal of Strain Analysis for Engineering Design
SN - 0309-3247
IS - 6
ER -