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Erroneous Concepts behind NATM

Erroneous Concepts behind NATM

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p i<br />

p i<br />

'R<br />

PLASTIC ZONE<br />

ASSUMED BY <strong>NATM</strong><br />

(NOT APPROVED)<br />

PLASTICITY THEORY<br />

'R<br />

V 1<br />

PEAK STRENGTH<br />

V<br />

1<br />

V<br />

RESIDUAL STRENGTH<br />

LOSS OF STRENGTH<br />

Fig. 17 Ground response curve according to Fig. 18 Loss of strength in shear and<br />

plasticity theory in comparison with triaxial tests<br />

that of the <strong>NATM</strong><br />

Only the ground response curve that is resulting from the theory of plasticity is theoretically<br />

founded, see Fig. 17. Whether or not a loss of strength (strain softening) is taken<br />

into account - as may be observed in a shear or triaxial test - the curve does not turn<br />

upwards.<br />

In a detailed research report [20] on the use of the ground response curves as a design<br />

basis for the <strong>NATM</strong>, the possibility of a trough-like Pacher curve is not even mentioned.<br />

Also, in the ITA Guidelines [21] there is no mention of trough-like characteristic curves.<br />

In the publications "Finite element analysis of the <strong>NATM</strong>" [22] and "<strong>NATM</strong> and finite<br />

elements" [23] nothing is said about either activated rock ring structures or a Pacher<br />

curve.<br />

p [MPa]<br />

v<br />

2.5 (H = 100 m)<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

INFLUENCE OF LOOSENING<br />

D = 10 m<br />

H = 5 m<br />

p = 0.1 MPa<br />

' F<br />

10 20 30 40<br />

G [cm]<br />

F<br />

Fig. 19 Influence of loosening in the roof area Fig. 20 Increase of pressure on the<br />

on the ground response curve roof lining due to rock loosening<br />

(erratic,unpredictable event<br />

which does not lend itself to<br />

numerical computation)<br />

D<br />

W<br />

F<br />

p v<br />

G<br />

G F<br />

3<br />

H 1<br />

W<br />

H<br />

11

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