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ORNL-1771 - Oak Ridge National Laboratory

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ANP QUARTERLY PROGRESS REPORT<br />

The most obvious method of changing the stress<br />

ratio is by loading a tubular specimen axially with<br />

pressure acting on the pistons is borne by the rod<br />

connecting the pistons. This will reduce the axial<br />

stress in the cylinder wall to zero (assuming no<br />

friction between piston and cylinder) without af-<br />

fecting the tangential stress. In actcsol practice,<br />

one piston can be replaced by a fixed end. By<br />

using a piston of larger net area than the opposite<br />

cylinder end, compressive axial stresses can be<br />

introduced into the cylinder walls without altering<br />

the tangential stresses. This arrangement is shown<br />

in Fig. 7.3. By using thin-walled cylinder approxi-<br />

mations, the stress ratio is given by the equation<br />

ut 2d (d + t)<br />

...... -<br />

Oa d2 - D2<br />

_- ~<br />

IJ N C L A S S I FIE D<br />

<strong>ORNL</strong>-LR-OWG 2849<br />

PISTON<br />

__-- SPECIMEN<br />

_--- - PISTON ROD<br />

__-- -PISTON<br />

Fig, 7.2. Apparatus for Producing Tangential<br />

Stress in a Tubuhr Specimen.<br />

114<br />

(Note that the diamefer n of the piston rod does nat<br />

enter into the calculation of the stress ratio.)<br />

ut 2d (d t t)<br />

- - -. ...............<br />

"a D2<br />

In the event that it is necessary to extend the piston<br />

rod through the top end of the cylinder (to provide Q<br />

thermocouple well, for example), the arrangement<br />

shown in Fig. 7.4b may be considered. The stress<br />

ratio is given by the equation<br />

6t 2d (d + t)<br />

_- ............... -<br />

"a D2 - b2<br />

UNCLASSI FlED<br />

<strong>ORNL</strong>-LR-DWG 2850<br />

Fig. 7.3. Apparatus for Producing Compressive<br />

Axial Stresses in a Tubular Specimen<br />

Altering the Tangential Stresses.

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