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Design and Stress Analysis of Extraterrestrial ... - The Black Vault

Design and Stress Analysis of Extraterrestrial ... - The Black Vault

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"<strong>The</strong>rmal stresses are the main factor to keep in mind when<br />

designing a fuel element for a reactor. This .s easy to show if we<br />

express the temperature <strong>of</strong> fuel element through the heat-release<br />

function qv, called the three-dimensional state <strong>of</strong> thermal stress:<br />

t =t,., i. At tM,,• o14.I-..•"UJ<br />

qv"2 E \-•<br />

If a = 0, then<br />

Ea<br />

Af<br />

•t•I .-. 4 L\<br />

I r<br />

_Ea tI r 1<br />

Ea 2<br />

(2.25)<br />

In the temperature range 50-600 0 C the quantity Ea/(l - i) for<br />

uranium, for example, has virtually a constant value:<br />

S0,35 daN /11.112 TC4.<br />

Figure 2.18 shows the stress distribution in the core o1' a<br />

uranium heat-releasing element with a temperature difference <strong>of</strong><br />

At = 1. Circular <strong>and</strong> axial stresses have the highest value. On the<br />

surface <strong>of</strong> the core both <strong>of</strong> these stresses are maximum <strong>and</strong> equal to<br />

EI<br />

.'.,X , Ea -- A(2.26)<br />

<strong>The</strong>se formulas are useful for evaluating the correctness <strong>of</strong> the fuel<br />

element core dimensions.<br />

-12<br />

S~122

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