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. 2011 Aug 11;11(8):7934–7953. doi: 10.3390/s110807934

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© 2011 by the authors; licensee MDPI, Basel, Switzerland.

This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).

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Figure 4. — Effect of the finite thickness of the elastic layer. (Left) Sphere-on-plane contact pressure profile calculated for a semi-infinite elastic medium (Hertz’ calculation, dashed black line) and an elastic layer of thickness h (blue line) such that h/a =1.3 where a is the contact radius. This ratio corresponds to the experimental conditions. (Center-Right) Normal component g_zz (center) and tangential component g_xz (right) of the Green tensor in (x, y =0, z = h): the profile for the semi-infinite layer (dashed line) can be rescaled (blue line) to approximate the profile obtained by Finite Elements simulation for a layer of thickness h =3.04 mm (dotted line).