Fesenko A. The mixed spatial elasticity problems for the semi-infinite layer

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U005067

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

17-10-2014

Specialized Academic Board

К 41.051.05

Essay

Dissertation is devoted to the development of a new solving method for the elasticity spatial problems, which is based on reduction of Lame's equations sistem to two together and one independent solved equations relatively to the new unknown functions associated with the displacements. The new approach is applied to the construction of the mixed spatial boundary value problems' analytic solutions for an elastic semi-infinite layer under the action of the external and internal loads of different nature. The special numerical analytical method is worked out with the aim to calculate the integrals from the oscillating functions that arise during the inversion procedure and to transform these integrals to the form convenient to the calculations.

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