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The aim of the present study is extended for obtaining relation between the collision of ion beam with polycarbonate polymer (PC) and the introduced modification of technological applications.
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The obtained relation was verified by a set of experiments.
An experimental analysis is also proposed to find a better formulation of the obtained relation.
Similarly to the Pharr Oliver Brotzen frictionless analysis, the obtained relation is independent of the geometry of the punch.
Experimental results on several cement pastes validate the obtained relation but also shows the necessity to take in account the surface tension effects for low yield stress materials.
end{aligned} Hence we obtain relation (14).
By the same method, we can also obtain relation (25).
By a similar approach we obtain relation (16) if (|y|ge R_{3}/2).
Now, if we proceed similarly to (i) we obtain relation (ii).
end{aligned} By using relations (16) (or (17)) and (9) of [9], we annihilate the latter relation, i.e., we obtain relation (20) for (beta>1).
For (beta>0), we multiply series (19) by (H^{beta-2}_{0}(theta )) and integrate the obtained relation over the closed interval ([0,pi ]).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com