Electronic Journal of Polish Agricultural Universities (EJPAU) founded by all Polish Agriculture Universities presents original papers and review articles relevant to all aspects of agricultural sciences. It is target for persons working both in science and industry,regulatory agencies or teaching in agricultural sector. Covered by IFIS Publishing (Food Science and Technology Abstracts), ELSEVIER Science - Food Science and Technology Program, CAS USA (Chemical Abstracts), CABI Publishing UK and ALPSP (Association of Learned and Professional Society Publisher - full membership). Presented in the Master List of Thomson ISI.
2005
Volume 8
Issue 4
Topic:
##### Civil Engineering
ELECTRONIC
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Monastyrskyy B. , Kaczyński A. 2005. CONTACT BETWEEN AN ELASTIC LAYER AND AN ELASTIC SEMI-SPACE BOUNDED BY A PLANE WITH AXIALLY SYMMETRIC SMOOTH DIP , EJPAU 8(4), #44.
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

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

Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.