Avtandil Gachechiladze, Roland Gachechiladze, and David Natroshvili
abstract:
The contact problems of two elastic hemitropic bodies with different elastic
properties under the condition of natural impenetrability of one medium into the
other, is investigated. Using the theory of spatial variational inequalities,
the existence and uniqueness of a weak solution is studied. The coercive case
(when an elastic medium is fixed along a part of the boundary), as well as the
non-coercive case (the boundaries of elastic media are not fixed) is considered.
In the latter case, the necessary conditions for the existence of a solution are
written out explicitly.
Mathematics Subject Classification: 74H20, 35J55, 35J85
Key words and phrases: Theory of elasticity, hemitropic medium, unilateral contact, variational inequality