PSI - Issue 1

Salem Cherif Sadek et al. / Procedia Structural Integrity 1 (2016) 234–241 Salem cherif sadek/ Structural Integrity Procedia 00 (2016) 000 – 000

238

5

Fig 5. Modal deformation of the plate; a crack length 2 a / w = 0.5 .

10. The influence of the crack length on the critical load

A parameter ψ (  = critical load of the plate with crack / critical load of an uncrack plate), dimensionless is introduced. This report identifies for a given crack length ratio, the corresponding critical load means a function of passage and the critical load of the reinforced uncrack plate.

0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 0,86 0,87 0,88 0,89 0,90 0,91 0,92 0,93 0,94 0,95 0,96 0,97 0,98 0,99 1,00  2a/w Mode 1

0,989 0,990 0,991 0,992 0,993 0,994 0,995 0,996 0,997 0,998 0,999 1,000

Mode 2



0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0

2a/w

1,000

0,992

Mode 3

0,984

0,976

0,968

0,960



0,952

0,944

0,936

0,928

0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 0,920

2a/w

Fig 6. Evolution of the report ψ according to the crack length.

A trend curve representing the function ψ allows estimating the critical buckling load of a cracked panel, a standard length 2a / w knowing just the critical value of the buckling load of the same uncracked panel. This trend curve has been determined in the polynomial form of four orders for the three modes.