Spherical indentation of a transversely isotropic elastic half-space reinforced with a thin layer |
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| Authors: | Ivan I Argatov Federico J Sabina |
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| Affiliation: | 1. Institute of Mathematics and Physics, Aberystwyth University, Ceredigion SY23 3BZ, Wales, UK;2. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-726, Delegación Alvaro Obregon, 01000 México, DF, Mexico |
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| Abstract: | The frictionless spherical indentation test is considered for a transversely isotropic elastic half-space reinforced with a thin layer whose flexural stiffness is negligible compared to its tensile stiffness. It is assumed that the deformation of the reinforcing layer can be treated as the generalized plane stress state. Closed-form analytical approximate equations for the maximum contact pressure, contact radius, and contact force are presented. The isotropic case is considered in detail. |
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