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Nondestructive testing of defects in adhesive joints

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Swell<strong>in</strong>g experiment<br />

Circular shaped samples (diameter ~ 13 mm) were cut from the block copolymer sheet by means<br />

<strong>of</strong> a sharp edged steel die and thickness <strong>of</strong> the sample was measured with an accuracy <strong>of</strong> ±<br />

0.01nm. Dry weight <strong>of</strong> the cut samples were taken before immersion <strong>in</strong>to distilled water at room<br />

temperature. The samples were periodically removed from test bottles. Then the samples were<br />

weighed on an electronic balance (Shimadzu, Libor AEU-210, Japan) and immediately replaced<br />

<strong>in</strong>to the test bottles. This procedure was cont<strong>in</strong>ued until equilibrium swell<strong>in</strong>g was atta<strong>in</strong>ed <strong>in</strong> the<br />

case <strong>of</strong> each sample. The time taken for each weigh<strong>in</strong>g was kept constant to a m<strong>in</strong>imum <strong>of</strong> 20-30s<br />

<strong>in</strong> order to avoid errors due to the escape <strong>of</strong> solvent from the samples. The results <strong>of</strong> these<br />

experiments were expressed as moles <strong>of</strong> solvent uptake by 100 g <strong>of</strong> polymer (Qt mol %).<br />

Results and Discussion<br />

The swell<strong>in</strong>g behaviour <strong>of</strong> the hydrogels depends on the nature <strong>of</strong> the polymer and the<br />

environmental conditions. The polymer’s nature <strong>in</strong>volves crossl<strong>in</strong>k density, ionic content etc. The<br />

environmental conditions <strong>in</strong>clude pH and temperature [6,7]. A series <strong>of</strong> NR/PEG copolymeric<br />

hydrogels was <strong>in</strong>vestigated <strong>in</strong> terms <strong>of</strong> their swell<strong>in</strong>g characteristics. The effect <strong>of</strong> NCO/OH ratio<br />

and pH on the swell<strong>in</strong>g behaviour was studied.<br />

Sorption dynamics and effect <strong>of</strong> NCO/OH ratio<br />

The data from the sorption studies are plotted <strong>in</strong> Figure 1 with the percentage uptake <strong>of</strong> the<br />

penetrant aga<strong>in</strong>st t 1/2 , where t is the time taken to atta<strong>in</strong> equilibrium. S<strong>in</strong>ce PEG is hydrophilic<br />

polymer and NR is hydrophobic <strong>in</strong> nature, the present block copolymer possesses these dual<br />

characteristics. In the case <strong>of</strong> a typical polar solvent like water, the <strong>in</strong>teraction is restricted to only<br />

the match<strong>in</strong>g hydrophilic doma<strong>in</strong> <strong>in</strong> the block copolymer while the hydrophobic doma<strong>in</strong><br />

conveniently excludes it.<br />

A remarkable feature that is observed <strong>in</strong> the sorption curves <strong>of</strong> the swell<strong>in</strong>g ratio versus t 1/2 is that<br />

they are slightly sigmoidal <strong>in</strong>itially and later level <strong>of</strong>f. The sigmoidal shape is related to the time<br />

taken by the polymer cha<strong>in</strong>s to react to the swell<strong>in</strong>g stress and realign themselves to<br />

accommodate the solvent molecules. Initially, due to the large concentration gradient, the<br />

swell<strong>in</strong>g rate is too high. The end result <strong>of</strong> this behaviour is solvent <strong>in</strong>duced stress <strong>in</strong> the polymer<br />

sample. However, as the concentration gradient decreases, the swell<strong>in</strong>g ratio decreases and at<br />

equilibrium swell<strong>in</strong>g the concentration differences almost vanishes [17].<br />

In the NR/PEG hydrogels, Q∞ mol% values varied with the variation <strong>in</strong> NCO/OH ratios (Table<br />

II). The maximum uptake was shown by the sample with NCO/OH ratio 1.1 followed by a<br />

decrease <strong>in</strong> the uptake values with the <strong>in</strong>crease <strong>in</strong> NCO/OH ratios. This sort <strong>of</strong> behaviour maybe<br />

the outcome <strong>of</strong> <strong>in</strong>crease <strong>in</strong> polymer mobility, free volume and better <strong>in</strong>teractions exist<strong>in</strong>g <strong>in</strong> the<br />

sample with NCO/OH ratio 1.1.<br />

Mechanism <strong>of</strong> sorption<br />

The sorption data <strong>of</strong> the polymer – solvent systems for a circular geometry <strong>of</strong> the sample before<br />

the atta<strong>in</strong>ment <strong>of</strong> 55% equilibrium sorption have been fitted <strong>in</strong> the follow<strong>in</strong>g empirical formula<br />

[18,19]<br />

Q t<br />

=<br />

Q<br />

∞<br />

kt<br />

n<br />

………………… (1)

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