Rasmus ÿstergaard forside 100%.indd - Solid Mechanics
Rasmus ÿstergaard forside 100%.indd - Solid Mechanics
Rasmus ÿstergaard forside 100%.indd - Solid Mechanics
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Interface Fracture Toughness of Sandwich Structures 465<br />
where<br />
and<br />
A2 ¼ 1<br />
þ , I2 ¼ 1<br />
3<br />
where<br />
¼ 1 þ 3<br />
2<br />
A1 ¼ 1 , I1 ¼ 1<br />
12<br />
3 þ<br />
h<br />
1 þ<br />
3 ,<br />
¼ 1 þ 2 þ 2<br />
2 ð1 þ Þ<br />
A3 ¼ 2 þ , I3 ¼ 2 1 1<br />
þ þ<br />
3 3 2 2 þ 12 :<br />
The parameters given in the J-integral solution are<br />
1 1<br />
¼ þ<br />
U A2<br />
1<br />
A1<br />
þ<br />
2<br />
I2<br />
,<br />
1 1<br />
¼ þ<br />
V I2<br />
1<br />
,<br />
I1<br />
REFERENCES<br />
2<br />
1<br />
þ 1<br />
þ 1<br />
" #<br />
,<br />
3<br />
sin<br />
pffiffiffiffiffiffiffi ¼ :<br />
UV I2<br />
1. Zenkert, D. (1991). Strength of Sandwich Beams with Interface Debondings, Composite<br />
Structures, 17: 331–350.<br />
2. Carlsson, L.A. and Prasad, S. (1993). Interfacial Fracture of Sandwich Beams, Engineering<br />
Fracture <strong>Mechanics</strong>, 44(4): 581–590.<br />
3. Ratcliffe, J. and Cantwell, W.J. (2001). Center Notch Flexure Sandwich Geometry<br />
for Characterizing Skin-core Adhesion in Thin-skinned Sandwich Structures, Journal of<br />
Reinforced Plastics & Composites, 20(11): 945–970.<br />
4. Suo, Z. (1989). Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media,<br />
Proc. R. Soc. Lond. A, 427: 331–358.<br />
5. Liechti, K.M. and Chai, Y.S. (1992). Asymmetric Shielding in Interfacial Fracture under Inplane<br />
Shear, Journal of Applied <strong>Mechanics</strong>, 59: 295–304.<br />
6. Toftegaard, H. and Goutianos, S. (2006). Composite Skin Elastic Constants from<br />
Monolithic In-plane Specimens and Bonded Out-of-plane Specimens, Journal of Sandwich<br />
Structures and Materials (in press).