TITLE:
Unidimensional Inhomogeneous Isotropic Elastic Half-Space
AUTHORS:
Igor Petrovich Dobrovolsky
KEYWORDS:
Continuous Heterogeneity, The Integro-Differential Equation, Bidimensional Fourier’s Transformation
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.7,
July
8,
2015
ABSTRACT:
The homogeneous system of the equations of the linear theory of
elasticity for the isotropic environment with one-dimensional continuous
heterogeneity is considered. Bidimensional transformation Fourier is applied
and the problem for images is led to the ordinary differential equations.
Generally, the differential equations are transformed in integro-differential
and the algorithm of such transformation is resulted. Solutions of specific
problems are resulted.