Volume 8
Issue 4
Civil Engineering
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Available Online: http://www.ejpau.media.pl/volume8/issue4/abs-44.html
CONTACT BETWEEN AN ELASTIC LAYER AND AN ELASTIC SEMI-SPACE BOUNDED BY A PLANE WITH AXIALLY SYMMETRIC SMOOTH DIP
Bohdan Monastyrskyy1, Andrzej Kaczyński2
1 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU
2 Faculty of Mathematics and Information Science,
Warsaw University of Technology
ABSTRACT
A problem of the theory of elasticity is considered for an elastic layer in frictional contact with an elastic half-space bounded by a plane with an axially symmetric smooth dip. The method of the Hankel integral transforms is used to solve the problem. In this way we obtain a system of dual integral equations such that it can be reduced to a single Fredholm integral equation of the second kind. The numerical results are presented in the form of diagrams for particular cases of the dip. Besides we discuss the variation of the contact parameters depending on the layer thickness.
Key words: discontinuous frictional contact, an axially-symmetric problem, dual integral equations.
Bohdan Monastyrskyy
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU
3-B Naukova Str., 79060 Lviv, Ukraine
email: bmonast@iapmm.lviv.ua
Andrzej Kaczyński
Faculty of Mathematics and Information Science,
Warsaw University of Technology
Plac Politechniki 1, 00-661 Warsaw, Poland
phone: 022-6605354
email: akacz@mini.pw.edu.pl
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