PSI - Issue 25

Victor Rizov / Procedia Structural Integrity 25 (2020) 112–127

123

12

Author name / Structural Integrity Procedia 00 (2019) 000–000

tL E , respectively.

Fig. 8. The strain energy release rate in non-dimensional form plotted against h b / ratio (curve 1 – at /

0.10  q b , curve 2 – at

/ 0.15  q b and curve 3 – at /

0.20  q b ).

cU E ,

cL E , tU E and tL E , are distributed in the length direction of the beam according to the

The moduli,

following power laws:

n l E E E E    l E E E E    l E E E E    l E E E E    cUD cUB cU f cLD cLB cL n tUD tUB tU f tLD tLB tL

n

x

cUB

,

(38)

f

x

cLB

,

(39)

n

x

tUB

,

(40)

f

x

tLB

,

(41)

where

x l   0 .

(42)

cUB E , cLB E , tUB E and tLB E are, respectively, the values of cU E , cL E , tU E and tL E in

In formulae (38) – (41),

the left-hand end of the beam.