THE THIRD MAIN TASK OF THE THEORY OF ELASTICITY FOR A TWO-LAYER MEDIUM WITH A LONGITUDINAL CYLINDRICAL CAVITY

Autor: Miroshnikov V. Yu.
Rok vydání: 2020
Předmět:
DOI: 10.24411/2520-6990-2020-11166
Popis: The spatial problem of the theory of elasticity is solved for two isotropic layers ideally connected with each other, one of which has a longitudinal cavity. Stress are set on the cavity and on the upper boundary of the upper layer. At the lower boundary of the lower layer, displacements are specified. The solution of the spatial problem of the theory of elasticity is obtained by the generalized Fourier method with respect to the system of Lame equations. The infinite systems of linear algebraic equations to which the problem is reduced are solved by the reduction method. The analysis of the stress strain state in the layers, on the boundary of the layers and on the surface of the cavity from a given load on the upper boundary of the upper layer.
Databáze: OpenAIRE