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OS-C501

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

Sec.6 Failure mechanisms and design criteria – Page 123<br />

10.4.4 It is assumed that the reduction of strength with time can be described by one of the following<br />

equations:<br />

where,<br />

− β log t<br />

or<br />

or σ(t) = σ(1) – β log(t)<br />

or ε(t) = ε(1) – β log(t)<br />

σ (t), ε (t) time-dependent stress or strain to failure<br />

σ(1) , ε(1) scalar depending on the material, failure mechanism and on the environmental conditions at time<br />

1 (units of time must be consistent in the equation)<br />

β slope depending on the material, failure mechanism and on the environmental conditions<br />

log denotes the logarithm to the basis 10.<br />

10.4.5 It shall be documented that the material follows the equation in [10.4.4]. More details can be found in<br />

Sec.4 [3.3] and Sec.5 [3.3]. If the long term behaviour of the material is different, the following equations to<br />

calculate lifetimes may still be used, but the characteristic time to failure (see [10.4.7]) should be calculated by<br />

a statistical analysis appropriate for the specific behaviour of the material.<br />

10.4.6 The regression line described by the equation in [10.4.4] should correspond to the characteristic curve<br />

as described in [3.11].<br />

charact<br />

10.4.7 The characteristic time to failure t γ ⋅σ<br />

shall be extracted from the stress rupture curve (see<br />

Sd<br />

applied<br />

also Sec.4 [3.3] and Sec.5 [3.3]) for each applied strain condition. The characteristic time to failure shall be<br />

found for the applied strains ε applied multiplied by the partial load model factor γ Sd . Alternatively, the<br />

charact<br />

characteristic time to failure can also be found for an applied stain t ( γ ⋅ε<br />

) , depending on what type<br />

Sd<br />

applied<br />

of data is available. One of the following design criterion for stress rupture shall be used, depending what kind<br />

of long term data are available:<br />

with<br />

γ Rd = 1 for a summation over various strain/stress levels, i.e. N>1.<br />

γ Rd = 0.1 if the component is exposed to only one strain/stress level, i.e. N=1.<br />

where t<br />

ε j applied<br />

σ j applied<br />

t actual<br />

t charact<br />

N<br />

j<br />

t y<br />

γ Sd<br />

γ Rd<br />

γ fat<br />

{....}<br />

γ<br />

log<br />

log<br />

fat<br />

t is a function of…<br />

[ σ ( t)<br />

] = log[ σ ( 1)<br />

] ( )<br />

[ ε( t)<br />

] = log[ ε ( 1)<br />

] − β log( t)<br />

γ<br />

γ<br />

Rd<br />

fat<br />

t<br />

γ<br />

y<br />

Rd<br />

∑<br />

j = 1<br />

t<br />

( )<br />

{ σ applied }<br />

j<br />

Sd<br />

<<br />

{ } 1<br />

γ σ<br />

j applied<br />

local response of the structure to the permanent static load conditions (max. strain)<br />

local response of the structure to the permanent static load conditions (max. stress)<br />

actual time at one permanent static load condition per year<br />

N<br />

N<br />

t y∑<br />

j=<br />

1<br />

t<br />

charact<br />

actual<br />

characteristic time to failure under the permanent static load condition<br />

the total number of load conditions<br />

index for load conditions<br />

number of years (typically the design life)<br />

partial load-model factor<br />

partial resistance-model factor<br />

partial fatigue safety factor<br />

t<br />

t<br />

or<br />

actual<br />

charact<br />

10.4.8 A different γ Rd value may be chosen if it can be documented by experimental evidence. Load sequence<br />

testing for the actual material on representative load sequences shall be used to document the use of a γ Rd in<br />

the range of 1 > γ Rd > 0.1. The minimum is γ Rd = 0.1.<br />

γ<br />

Sd<br />

{ applied }<br />

j<br />

γ ε<br />

Sd<br />

<<br />

{ } 1<br />

γ ε<br />

j applied<br />

Sd<br />

DET NORSKE VERITAS AS

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