This article presents the notch stress intensity factors of a wide range of finite-width flat plates with periodic edge notches. A broad series of notch configurations, varying from shallow to very deep notches, complete range of notch spacing and wide range of notch opening angles, is considered. The significance of sharp notch approximation for the case of blunt notches with a very small notch radius is also demonstrated. Overall, more than 1200 models are carried out. Due to the desirability of analytical expressions for notch stress intensity factors evaluation, the numerical results, obtained from the strain energy density approach, are used to find some simple analytical expressions for the prediction of notch stress intensity factors of periodic sharp notches. The use of a coarse mesh in the finite element models and multiscaling are the promising advantages of such a method underlined in this study.
DragoniECastagnettiD. Concentration of normal stresses in flat plates and round bars with periodic notches. J Strain Anal Eng2010; 45(7): 495–503.
2.
DragoniECastagnettiD. Concentration of shear stresses in shallow periodic notches. J Strain Anal Eng2011; 46: 397–404.
3.
NeuberH. Theory of notch stresses. 2nd ed.Berlin: Springer-Verlag, 1958.
4.
GrossRMendelsonA. Plane elastostatic analysis of V-notched plates. Int J Fract Mech1972; 8: 267–276.
5.
ChenD-H. Stress intensity factors for V-notched strip under tension or in-plane bending. Int J Fracture1994; 70(1): 81–97.
6.
DunnMSuwitoWCunninghamS. Fracture initiation at sharp notches under mode I, mode II, and mild mixed mode loading. Int J Fracture1997; 84(4): 367–381.
7.
DunnMLSuwitoWCunninghamS. Fracture initiation at sharp notches: correlation using critical stress intensities. Int J Solids Struct1997; 34(29): 3873–3883.
8.
GómezFJElicesM. Fracture of components with V-shaped notches. Eng Fract Mech2003; 70(14): 1913–1927.
9.
GómezFJElicesM. A fracture criterion for sharp V-notched samples. Int J Fracture2003; 123: 163–175.
10.
KnéslZ. A criterion of V-notch stability. Int J Fracture1991; 48(4): 79–83.
11.
NuiLSChehimiCPluvinageG. Stress field near a large blunted tip V-notch and application of the concept of the critical notch stress intensity factor (NSIF) to the fracture toughness of very brittle materials. Eng Fract Mech1994; 49(3): 325–335.
12.
StrandbergM. Fracture at V-notches with contained plasticity. Eng Fract Mech2002; 69(3): 403–415.
13.
LazzarinPTovoR. A notch intensity factor approach to the stress analysis of welds. Fatigue Fract Eng M1998; 21(9): 1089–1103.
14.
CroccoloDDe AgostinisMVincenziN. Normalization of the stress concentrations at the rounded edges of a shaft–hub interference fit: extension to the case of a hollow shaft. J Strain Anal Eng2012; 47(3): 131–139.
15.
BaratiEBertoF. A comparison between rapid expressions for evaluation of the critical J-integral in plates with U-notches under mode I loading. J Strain Anal Eng2011; 46(8): 852–865.
16.
BertoFZappalortoM. The fictitious notch rounding approach applied to V-notches with root holes subjected to mode I loading. J Strain Anal Eng2012; 47(3): 176–186.
17.
AfsharRBertoF. Stress concentration factors of periodic notches determined from the strain energy density. Theor Appl Fract Mec2011; 56(3): 127–139.
18.
ParkerAP. Stability of arrays of multiple edge cracks. Eng Fract Mech1999; 62(6): 577–591.
19.
PookLP. Stress intensity factor expressions for regular crack arrays in pressurized cylinders. Fatigue Fract Eng M1990; 13(2): 135–143.
20.
TadaHParisPCIrwinG. The stress analysis of cracks handbook. 2nd ed.St Louis, MO: Paris Productions Incorporated and Del Research Corporate, 1985.
LazzarinPAfsharRBertoF. Notch stress intensity factors of flat plates with periodic sharp notches by using the strain energy density. Theor Appl Fract Mec2012; 60(1): 38–50.
23.
SavrukMKazberukA. A plane periodic boundary-value problem of elasticity theory for a half-plane with curvilinear edge. Mater Sci2008; 44(4): 461–470.
24.
BertoFLazzarinPAfsharR. Simple new expressions for the notch stress intensity factors in an array of narrow V-notches under tension. Int J Fracture2012; 176(2): 237–244.
25.
LazzarinPBertoF. Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. Int J Fracture2005; 135(1–4): 161–185.
26.
LazzarinPZambardiR. A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches. Int J Fracture2001; 112(3): 275–298.
27.
BertoFLazzarinP. A review of the volume-based strain energy density approach applied to static and fatigue strength assessments of notched and welded structures. Theor Appl Fract Mec2009; 52(3): 183–194.
28.
LazzarinPBertoFGomezFJ. Some advantages derived from the use of the strain energy density over a control volume in fatigue strength assessments of welded joints. Int J Fatigue2008; 30(8): 1345–1357.
29.
LazzarinPBertoFZappalortoM. Rapid calculations of notch stress intensity factors based on averaged strain energy density from coarse meshes: theoretical bases and applications. Int J Fatigue2010; 32(10): 1559–1567.
30.
WilliamsML. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech1952; 19: 526–528.
31.
LazzarinPTovoR. A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches. Int J Fracture1996; 78(1): 3–19.
