Open AccessГРАНИЧНЫЕ УСЛОВИЯ КОНТАКТНОГО ТИПА В ЗАДАЧЕ О КРУГОВОЙ ЦИЛИНДРИЧЕСКОЙ ПОЛОСТИ В УПРУГОМ ПРОСТРАНСТВЕ
Author(s) -
В. Ю. Мирошников,
Т. В. Денисова,
В. С. Проценко
Publication year - 2018
Publication title -
otkrytye informacionnye i kompʹûternye integrirovannye tehnologii
Language(s) - English
Resource type - Journals
eISSN - 2663-2411
pISSN - 2071-1077
DOI - 10.32620/oikit.2018.81.14
Subject(s) - uniqueness , elasticity (physics) , boundary value problem , mathematical analysis , mathematics , type (biology) , basis (linear algebra) , geometry , physics , ecology , biology , thermodynamics
A three-dimensional problem of the theory of elasticity is considered, when contact-type conditions (normal displacements and tangential stresses) are given on a cylindrical cavity in elastic space. The solution is obtained on the basis of the Fourier method with respect to the Lame equations in cylindrical coordinates. The solvability and uniqueness of the problem for these boundary conditions is proved. Normal and tangential stresses are found in the elastic body. A numerical comparison is made of the influence of the boundary conditions in the form of displacements and boundary conditions of the contact type on the stressed state of the elastic space.