Abstract
The axi-symmetric frictionless indentation problem involving an elastic layer on a rigid base and a rigid indenter (punch) having either a rounded edge or a rounded tip profile has been investigated. The layer is either firmly attached to a rigid base (bonded layer) or resting without friction on a rigid base (unbonded layer). A set of asymptotic solutions for the contact pressure is derived for thin layers. Numerical and theoretical results showed good agreement.
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