PSI - Issue 22

N. Makhutov et al. / Procedia Structural Integrity 22 (2019) 93–101 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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Fig.4. Geometrical interpretation of the modified Neuber rule

Rearranging equations (4-8) and (18) gives the following expression for stress and strains concentration factors that determines the material response at the notch root:     (1 )/(1 m) 2/(1 ) 0.5(1 )[1 ( 1 )] (1 ) n Y t m m t n Y m K m t Y n K K K                for n Y    ; (21)

2/(1 ) 0.5(1 )[1 ( m t m K   

n Y    ;

K



for

(22)







1 )] (1 ) n Y t K m    

K

t Y n  

 2 /(1 ) m m 

K

n Y    ;

K



t

for

(23)









(1 )/(1 m) m  

0.5(1 )[1 ( m  

1 )] (1 ) n Y t K m    

K

n Y  

t Y n  

2 /(1 ) m m 

K

n Y    .

K



t

for

(24)







0.5(1 )[1 ( m  

1 )] (1 ) n Y t K m    

K

t Y n  

The dependences of stress and strain concentration factors on the magnitude of strain hardening exponent m for a large plate with a central hole ( K t =3) subjected to monotonic loading with nominal stress equal to the yield strength (σ n = σ Y ) calculated according to equations (21) and (23) are presented on fig. 5.