OS-C501
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Offshore Standard DNV-<strong>OS</strong>-<strong>C501</strong>, November 2013<br />
Sec.9 Structural analysis – Page 154<br />
do not allow values for all three parameters to be specified, one should generally use the measured values for<br />
G and ν, and let the E value be calculated (from the formula above) by the program. In that case the shear<br />
response of the core will be described accurately. However, in particular applications, in which core shear<br />
effects are negligible and axial stresses/strains are crucial, correct E values shall be applied.<br />
Guidance note:<br />
For many core materials experimentally measured values of E, G and ν are not in agreement with the isotropic<br />
formula:<br />
---e-n-d---of---G-u-i-d-a-n-c-e---n-o-t-e---<br />
10.2.3 Anisotropic core shall be described with 4 elastic constants in a 2-D analysis, i.e. E x , E z , G xz, ν xz .<br />
10.2.4 Anisotropic core shall be described with 9 elastic constants in a 3-D analysis, i.e. E x , E y , E z , G xy , G yz ,<br />
G xz , ν xy , ν yz , ν xz .<br />
10.3 2-D non-linear failure analysis<br />
E<br />
G =<br />
2 (1 + ν )<br />
10.3.1 If the through thickness stresses or the through width strains are insignificant, see [10.1.3], a 2-D<br />
progressive analysis may be carried out.<br />
10.3.2 At the beginning of the analysis, the analyst shall use non-degraded material properties.<br />
10.3.3 All displacement calculations shall be based on time-dependent material properties related to, e.g.,<br />
naturally or environmentally degradation during service life.<br />
10.3.4 For an undamaged sandwich structure, the following stresses and load shall typically be calculated:<br />
σ , , and .<br />
face σ τ<br />
core core Pcr<br />
Guidance note:<br />
Example: Transverse loading case for an open beam.<br />
Stresses shall be calculated as follows:<br />
σ<br />
σ<br />
Mz<br />
=<br />
D<br />
face<br />
E face<br />
Mz<br />
=<br />
D<br />
core<br />
E core<br />
Identically for a box beam:<br />
τ<br />
core<br />
=<br />
T<br />
D<br />
⎡<br />
⎢ E<br />
⎣<br />
face<br />
t<br />
face<br />
2<br />
d<br />
+<br />
E<br />
2<br />
core<br />
t<br />
core<br />
4<br />
2<br />
⎤<br />
⎥<br />
⎦<br />
σ<br />
Mz<br />
=<br />
D<br />
face<br />
E face<br />
τ =<br />
bd<br />
4 I<br />
2<br />
N<br />
in N-direction, and<br />
τ<br />
core<br />
=<br />
( 2 b + d )<br />
8I<br />
2<br />
d<br />
N<br />
in direction perpendicular to<br />
N.<br />
10.3.5 For given loading conditions, stresses and strains shall be calculated and failure criteria shall be<br />
checked.<br />
10.3.6 Any failure of the face material shall be modelled the same way as for monolithic laminates according<br />
to Sec.4 and Sec.9 [2].<br />
10.3.7 If core failure of type ductile or plastic occurs due to core yielding (in tension or compression), E core *<br />
shall be set equal to the secant modulus at the corresponding σ level; G core * shall be proportionally reduced by<br />
the same amount. If σˆ is reached, E core and G core shall be reduced to 0 (default value) or to positive values<br />
core<br />
as described in [10.3.11].<br />
DET NORSKE VERITAS AS