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OS-C501

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Offshore Standard DNV-<strong>OS</strong>-<strong>C501</strong>, November 2013<br />

Sec.9 Structural analysis – Page 148<br />

σ<br />

σˆ<br />

E lin<br />

E nonlin<br />

Figure 9-1<br />

Typical stress-strain relation for a laminate containing 0, 45 and 90 layers<br />

ε corr<br />

Matrix cracking<br />

in 90 layers<br />

Matrix cracking<br />

in 45 layers<br />

εˆ<br />

Fibre failure<br />

in 0 layer.<br />

Laminate<br />

failure<br />

ε<br />

3.3 Creep, stress relaxation and stress rupture-stress relaxation<br />

3.3.1 The presence of creep, stress relaxation and stress rupture-stress relaxation in composite structures<br />

depends on the level of stresses and or strains and the condition of the constituent materials (intact, presence<br />

of cracks or other failures).<br />

3.3.2 Only analysis methods that provide conservative estimates of stresses/strains and material conditions<br />

should be applied in predictions of phenomena like creep.<br />

3.4 Fatigue<br />

3.4.1 Failure due to fatigue may develop under long term cyclic loading conditions.<br />

3.4.2 Development of fatigue failure depends on the maximum strains during each cycle, as well as the total<br />

number of cycles with strains exceeding prescribed limits.<br />

3.4.3 Thus, analysis methods providing conservative strain estimates may be applied in conjunction with<br />

fatigue.<br />

4 Analytical methods<br />

4.1 General<br />

4.1.1 Analytical methods can be divided into two classes: Analytical solutions of (differential) equations or<br />

use of handbook formulae.<br />

4.2 Assumptions and limitations<br />

4.2.1 Analytical methods shall not be used outside their assumptions and limitations.<br />

Guidance note:<br />

The main disadvantage of available analytical solutions is that simplifications often put too many restrictions on<br />

geometry, laminate build-up etc. and hence, are insufficient in the design of more complex composite structures.<br />

Handbook formulae are usually too simple to cover all the design issues and are also in general not sufficient.<br />

Simplified isotropic calculation methods should not be used, unless it can be demonstrated that these methods give<br />

valid results.<br />

---e-n-d---of---G-u-i-d-a-n-c-e---n-o-t-e---<br />

4.2.2 For analytical analysis of sandwich structures, special care shall be taken with assumptions in<br />

approximate solutions that may be found in textbooks.<br />

4.3 Link to numerical methods<br />

4.3.1 Analytical solutions or handbook formulae used within their assumptions and limitations may be used to<br />

validate finite element analysis results.<br />

DET NORSKE VERITAS AS

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