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Numerical solving of axisymmetric contact problem for elastic solids with functionally graded coatings

Keywords:

A. A. Bobylov – Ph.D. (Phis–Math.), Associate Professor, Senior Research Scientist, Institute of Geotechnical Mechanics named by N.S. Polyakov (Ukraine, Dnepropetrovsk). E-mail: abobylov@gmail.com
I. S. Belashova – Dr.Sc. (Eng.), Professor, Moscow Aviation Institute (National Research University). E-mail: irina455@inbox.ru


The nonlinear axisymmetric contact problem of pressing a hard punch into an elastic body with functionally graded coating is considered. The variational formulations of the problem in the forms of a variational inequality and an extreme problem are obtained. The discretization of the problem is done by an unstructured triangular finite element grid of the axisymmetric finite elements with a triangular cross section. Modification of the conjugate gradients method is used for numerical solving of the problem. The carried-out test calculations showed that the occurrence of tensile stress zone in functionally graded coating under pressure of a hard punch is possible.
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