ISSN:
0032-3888
Keywords:
Chemistry
;
Chemical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
An equation has been derived allowing calculation of the penetration modulus A for the indentation of a hard sphere having the radius R′ into a sample in the shape of a cylinder having the radius R in a direction transverse to cylinder axis. The correction function (determined by the elliptic integrals), H/\documentclass{article}\pagestyle{empty}\begin{document}$ \sqrt 2 $\end{document} = ƒ(R′/R) needed in the calculation of A, has been tabulated. An approximative equation has also been suggested which adequately describes the dependence of m H/\documentclass{article}\pagestyle{empty}\begin{document}$ \sqrt 2 $\end{document} on R′/R; in the range 0 〈 R′/R ≤ 1 it describes this dependence with an accuracy of 2.5 percent. While in the case of the penetration of a cylinder the geometry is fully defined and the derived equation is generally valid, in the case of indentation of a plane sheet the equation holds only if the thickness of the sheet is infinite. Experimental results for the penetration of a steel sphere with various R′ on samples of vulcanized silicone rubber in the shape of cylinders with different R gave an A independent of R′/R, which was in agreement with the shear modulus Gt = E/3 (E is Young's modulus) with an average deviation of 2.3 percent. Further, it has been found experimentally that in the case of penetration of a cylinder the equilibrium is attained more readily than in the case of indentation of a plane.
Additional Material:
3 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/pen.760200605
