Vaysfel'd N. The non-stationary problems of elasticity for the bodies with the boundaries and defects in the cylindrical and spherical systems of coordinates

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0506U000045

Thesis Registration Form

0506U000045.pdf

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

26-12-2005

Specialized Academic Board

Д35.195.01

Essay

The solving method of the elasticity non-stationary problems for the bodies with the boundaries and defects described in cylindrical and spherical systems of coordinates is developed/ It is based on the application to the movement equations expressed through the wave functions, the integral transforms on the space coordinates and the discretization on time variable. In the case of the problems with the defects the discretization will be carried out at a stage of the two-dimensional integral equation solving, to which the problem is reduced (the integral Laplase transform on time is applied, then the method of the orthogonal polynomials, that takes into account the singularities of the solution at the edges of integration area, is used). It will carried out, when a kernel of the problems integral equation, which understands, written down in the Laplase transforms, has the exact formula of the Laplase transform inverse. In the case, when it's impossible, the discretization by time is carried out, as forbasic mixed problems, on the movement equation.

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