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Technical Review of the Lined Rock Cavern Concept and Design ...

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Draft <strong>Technical</strong> <strong>Review</strong> <strong>of</strong> <strong>the</strong> <strong>Lined</strong> <strong>Rock</strong> <strong>Cavern</strong> (LRC) <strong>Concept</strong> <strong>and</strong> <strong>Design</strong> Methodology B-2<br />

where T = tensile strength,<br />

d = zone size,<br />

E = loading stiffness<br />

Eu = unloading stiffness,<br />

T =<br />

GIC = critical energy release rate, <strong>and</strong><br />

KIC = critical toughness.<br />

Stress<br />

T<br />

K<br />

IC<br />

d ⎛ E ⎞<br />

⎜1+ ⎟<br />

2 ⎝ Eu<br />

⎠<br />

Slope = E<br />

Strain<br />

where E * = unloading stiffness <strong>of</strong> <strong>the</strong> surrounding material,<br />

Slope = E *<br />

(B-4)<br />

El = local (material) unloading stiffness; El = � in <strong>the</strong> case <strong>of</strong> infinitely brittle material,<br />

<strong>and</strong><br />

Eu =<br />

* ⎧ ⎪E<br />

⎨<br />

⎪⎩ El *<br />

if El> E<br />

.<br />

*<br />

if E > El

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