Issue 14

C.M. Sh

aranaprabhu et

alii, Frattura ed

Integrità Strutt

urale, 14 (2010)

27-35; DOI: 10

.3221/IGF-ESIS.

14.03

d that  =  mount of de pplied loads. for a consta

mode (  =36 n of  vs .  tic zone take

inte a c for a si

resting to fin onsiderable a all various a milar angle 

for mode-I a viation betw From Fig. 13 nt loading an

nd mode-II l een  and  one can un gle,  .

oading condi is observed. derstand that

tions only. F The nature o the extensio

or the mixed f the variatio n of the plas

o to 72 o ) the is almost sim s place almos

re is ilar t in

various 

various 

Figure 1

1 : Variation o

f r p

vs. K eff

for

Figure 12 : V

ariation of (r p )

vs. K eff

for

max

θ vs.  for va

R vs.  for va

Figure 1

3 : Variation of

rious loads

Figure 14 : Va

riation of MPZ

rious loads

angle,  , for v s have been d 10 kN. T al formulatio plastic zon cal and FEA d magnitude icates that th s interesting r applied lo ZR between , the ratio i

) vs . loading c zone radiu load 4kN an e by analytic n of minimum the theoreti y in estimate is figure ind Mode-I). It i of Mode-I fo ratio of MP ad of 10 kN

Th Th min dis fou loa dec the loa Mo elem inc

e variation o e estimated imum plasti crepancy in t nd that there ding angle r reases from loading con ding angle is de-II loading ent values. rease in the

f minimum p theoretical v c zone radiu he estimation is 10.5% an espectively. T loading angle ditions in fi changed fro is about 1. It is observ applied load.

lastic zone ra alues of min s in Fig.14 of minimu d 2.4% error he percenta 90 0 to 0 0 . Th nite element m 0 o (Mode 987 times le ed from Fig. In the case

dius (MPZR imum plasti typically for m plastic zon in estimatio ge error for is discrepanc analysis. Th -II) to 90 o ( ss than that 14 that the of applied lo

arious applie superimpos his plot ind n and prese e for mode-I values of m s of MPZR a e magnitud to note that ad 4kN both Mode-I and s found to b

d loads is de ed with the icates that th nt finite elem (β=90 0 ) and inimum pla ttributed to a e of MPZR the magnitu for the ana Mode-II de e 2.0 almost

picted in Fig FEA value ere exists so ent results. mode-II (β= stic zone ra pproximatio increases as de of MPZR lytical and fi creases with same as tha

.14. s of me It is 0 0 ) dius n in the in nite the t of

33