Mechanics of Solids

, Volume 52, Issue 4, pp 444–451 | Cite as

Axisymmetric contact between an annular rough punch and a surface nonuniform foundation

  • K. E. Kazakov
  • A. V. Manzhirov


The axisymmetric contact problem of interaction between a two-layer foundation and a rigid annular punch is considered under the assumption that the surface nonuniformity of the upper layer and the shape of the punch base are described by rapidly varying functions. The integral equation of the problem containing two rapidly varying functions is derived, and two versions of the problem are considered. Their solutions were first constructed by the generalized projection method. As an illustration, the model problem is analyzed numerically to demonstrate the high efficiency of the method.


contact problem rapidly varying functions integral equation projection method 


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Copyright information

© Allerton Press, Inc. 2017

Authors and Affiliations

  1. 1.Ishlinsky Institute for Problems inMechanics of the Russian Academy of SciencesMoscowRussia
  2. 2.Bauman Moscow State Technical UniversityMoscowRussia
  3. 3.National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)MoscowRussia
  4. 4.Moscow Technological UniversityMoscowRussia

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