OS-C501
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Offshore Standard DNV-<strong>OS</strong>-<strong>C501</strong>, November 2013<br />
Sec.9 Structural analysis – Page 153<br />
9 Swelling effects<br />
9.1 General<br />
9.1.1 Changes in gas or fluid absorption from the environment resulting in dimensional changes of the body<br />
shall be taken in account. The general swelling strains, e i , can be expressed as<br />
where β i is the swelling expansion coefficients and C is swelling agent concentration inside the laminate.<br />
9.1.2 Accordingly, the stress-strain relations shall be modified to account for the stress free environmentally<br />
induced expansion strains as follows:<br />
10 Analysis of sandwich structures<br />
10.1 General<br />
10.1.1 A typical load carrying sandwich structure has the following characteristics; it is build up of three<br />
elements: two faces, usually stiff and strong; a core, weaker and lighter; a joint, continuous along each of the<br />
two interfaces. Additionally, see the definition in Sec.14.<br />
10.1.2 All the sandwich structures that do not fall into the above definition are denoted special sandwich<br />
structures. A distinction is made between typical and special sandwich panels. Simple formulas are provided<br />
for design of typical sandwich panels whereas special ones shall be designed on the basis of more rigorous<br />
analyses and possibly testing.<br />
10.1.3 A decision to use 2-D or 3-D analysis shall be made depending on the level of significance of the<br />
through thickness stresses/through width strains (see [1.3.4]). If all through thickness stress components may<br />
be neglected, in-plane 2-D analysis may be applied, and if plane strain conditions prevail, a through thickness<br />
2-D approach may be adopted. Otherwise, 3-D analysis should be performed.<br />
10.1.4 In the context of FEA of sandwich structures (one of) the following element types or combinations<br />
should be applied:<br />
— a single layer of layered shell elements through the thickness of the entire sandwich material (for in-plane<br />
2-D analysis, see [1.3.4])<br />
— (layered) shell elements for the faces and solid elements for the core (for 3-D and through thickness 2-D<br />
analysis, see [1.3.4]). In this case a compensation may be desirable for the change in stiffness, or<br />
alternatively, in order to avoid overlapping areas, shell elements can be positioned adequately without the<br />
need for modifying the material properties by using the eccentricity property of the element. Depending on<br />
the commercial package used this option is not always available<br />
— solid elements for both faces and core (for detailed 3-D and through thickness 2-D analysis, see [1.3.4]).<br />
10.1.5 For the analysis of sandwich structures, special considerations shall be taken into account, such as:<br />
— elements including core shear deformation shall be selected<br />
— for honeycomb cores one shall account for material orthotropy, since honeycomb has different shear<br />
moduli in different directions<br />
— local load introductions, corners and joints, shall be checked<br />
— curved panels with small radii of curvature shall be analysed in 2-D (through thickness direction) or 3-D to<br />
account for the transverse normal stresses not included in shell elements.<br />
10.1.6 The load combinations and associated load factors and the surrounding environmental conditions<br />
established in Sec.3 shall be applied to the loads to calculate stresses and strains in the structure.<br />
10.1.7 Each point in the structure shall be checked for all times against the specified functional requirement<br />
and corresponding failure modes.<br />
10.1.8 Failure criteria for each mechanisms of failure are described in Sec.6.<br />
10.2 Elastic constants<br />
e = β C i<br />
i<br />
{ ε}<br />
= [ S ]{ σ } + { e}<br />
10.2.1 Each laminate shall be described with the suitable set of elastic constants as mentioned in section 4<br />
dealing with monolithic structures.<br />
10.2.2 Core materials are generally orthotropic and are described by more than two elastic constants (see<br />
Sec.5). However, most FE codes can only describe isotropic core materials. If the elements applied in the FEA<br />
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