Contact problem for two-layer elastic coating of solid cylinder

Abstract

The paper proposes analytical method of solving the contact problem for a two-layer elastic coating of solid cylinder applicable for circular layers of arbitrary thickness, simultaneously in case of compressible and incompressible materials. The law of contact pressure change is expressed in a form of an infinite series, containing an infinite number of unknown constants that are defined by the decomposition of known function of the built orthogonal functions.

The paper proposes analytical method of solving the contact problem for a two-layer elastic coating of solid cylinder applicable for circular layers of arbitrary thickness, simultaneously in case of compressible and incompressible materials. The law of contact pressure change is expressed in a form of an infinite series, containing an infinite number of unknown constants that are defined by the decomposition of known function of the built orthogonal functions.

Keywords

contact / tension / strains / elastic layers / contact zone / contact pressures / compression characteristics / elastic displacement

References

[1] Божкова Л.В., Рябов В.Г., Норицина Г.И. Приближенное решение контактной задачи для двухслойного упругого покрытия твердого цилиндра.// Известия МГТУ «МАМИ», М.:, 2012, № 1, с. 230-234.

[2] Божкова Л.В., Рябов В.Г., Норицина Г.И. Смешанная плоская задача теории упругости для двухслойной кольцевой области.// Известия МГТУ «МАМИ», М.: 2011, № 1, с. 217-221.

[3] Корн Г. и Корн Т. Справочник по математике, Наука, М.: 1978, 831 с.

RIGHTS & PERMISSIONS

Bozhkova L.V., Ryabov V.G., Noricina G.I.