The cartilage has a complex mechanical behavior. One of possible cartilage models is that viscoelastic. Usually, articular pressure is found by FEM. This paper advances a simple general analytical-numerical model for the contact between a rigid punch and a finite thickness elastic layer bonded to a rigid substrate. This is applied for paraboloidal punches which generate a combined pressure, paraboloidal and elliptical. The elastic solution is the starting element in viscoelastic analysis.

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