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Axisymmetric contact problem on indentation of linearly elastic half-space with
coating reinforced with inhomogeneous in depth interlayer is considered. Elastic moduli of the
interlayer vary with depth according to arbitrary continuously differentiable independent
functions. Construction of the compliance functions is reduced to the solution of Cauchy
problems for a system of ordinary differential equations with variable coefficients. Contact
problem is reduced to the solution of an integral equation which is solved using the bilateral
asymptotic method. Approximated analytical expressions for contact stresses and indentation
force are provided. Stresses and displacements inside the half-space and coating are obtained
in the form of quadratures.
Keywords: contact; indentation; two-layered coating; functionally graded materials; analytical methods. |
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