Yaretska, Nataliia2019-10-152019-10-152019Yaretska N. Pressure of a prestressed cylinder on an elastic layer which lies without friction on an elastic basis with initial stresses / N. Yaretska // Polish Science Journal. – Warsaw : Sp. z. o. o. “iScience”, 2019. – Iss. 6 (15), Pt. 1. – P. 36–43.978-83-949403-4-8https://elar.khmnu.edu.ua/handle/123456789/7773SECTION: PHYSICS AND MATHEMATICSThe article is devoted to the research of contact interaction of prestressed bodies, namely: the pressure of an elastic cylinder die upon an elastic layer and foundation with initial (residual) stresses. The following case is considered in the article: the elastic cylinder with initial stresses presses on a prestressed layer, which lies without friction on the basis with initial stresses. The problem is solved for the case of equal roots of the resolving equation. And the study is presented in a general form for the theory of large initial deformations and two versions of the theory of small initial deformations in the framework of the linearized theory of elasticity for an arbitrary structure of the elastic potential.enthe linearized elasticity theorypunchinitial (residual) stressescontact problemСтаття539.3