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141

Sensitivity of leakage detection.

Different conditions affect leakage detection. Leakage

effect may be reduced if the fluid evaporates or enters to the chemical reaction.

Material data.

Frequently the material data are insufficiently known, especially for the

welded joints where the safety evaluation by crack opening becomes more difficult.

Anyhow, LBB method is successfully applied in general, because it offers important

technical advantages and economy.

Stored energy in a vessel under pressure is calculated based on formula

1

1

1

sp

u

u

p

P V E

p

κ

κ

κ

⎛ ⎞

⋅ ⎢

=

− ⎜ ⎟

− ⎝ ⎠

(11)

where

p

u

and

p

sp

are internal pressure and pressure acting outside vessel, respectively,

V

is

vessel volume and

κ

gas constant (ratio of specific heats

p

v

c

c

=

, for air 1.4). The

containment is a pressure vessel if the calculated energy is 20 kJ or more,.

5. CONTROL AND VALIDATION OF CALCULATION RESULTS

Understanding of the basic relations of the critical structures integrity was the stimulus

in the development of engineering analysis methods starting with Galileo’s investigation

of beam bending resistance in 17

th

century. One of the most important goals in modern

metallic structures design is the optimisation of useful weight and the application of high

strength materials in order to achieve high economic efficiency. Besides this, certain

structures, as for example space vehicles, can be only realised if, based on available

driving power, are capable to carry, not only dead weight but also the weight of necessary

fuel and useful load, and this means, they should be light structures. It is possible only

applying new developed analysis methods, in which fracture mechanics has the decisive

role in assessing reliability and residual life of structures (power plants, transport systems,

including pipelines, process equipment and mechanical plants of different kind, during

their life subjected to complex loading and conditions). Common problem of such

structures is large financial load to community of their retirement. Having in mind

shortage in capital, and the growing risk caused by the aging of this infrastructure, ability

to fast and efficient assess structural integrity and the priority of repair and retirement

with the minimum costs at acceptable risk is of great importance for national economy.

As by all calculation tied to the structure integrity, also the fracture mechanics data

must produce some incertainty. For that it is recommended to apply the data that, with

possible deviations, in all cases produce conservative results. Still it is necessary to apply

some safety margin calculated as the ratio of maximal load (force) that structure can carry

without failure and the real applied maximal loading of the structure. The safety factor in

fracture mechanics can be assessed using FAD, as ratio between lines OB/OA

(Fig. 9).

This leads to conservative results, because it is usual to select minimal values of

material characteristics. According to the MIL-standard, for example, two options are

allowed, “A” or “B”. “A” value corresponds to the material characteristic that must be

fulfilled in 99 % cases with the confidence level of 95 %, and are applied if the fracture of

considered element leads to the overall system failure. If the fracture of the element leads

to the load redistribution to other joined elements it is possible to apply “B” value, with

the probability of 90 % (with same confidence). The selection is based on the experiments