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.
Cite this paper
Dobrovolsky, I. P. (2015). Unidimensional Inhomogeneous Isotropic Elastic Half-Space. Open Access Library Journal, 2, e1670. doi: http://dx.doi.org/10.4236/oalib.1101670.
Gibson, R.E.
(1967) Some Results Concerning Displacements and Stresses in a Nonhomogeneous
Elastic Half-Space. Geotechnique, 17, 58-67. http://dx.doi.org/10.1680/geot.1967.17.1.58
Brown, P.T.
and Gibson, R.E.
(1979) Surface Settlement of a Finite Elastic Layer Whose Modulus Increases
Linearly with Depth. International
Journal for Numerical and Analytical Methods in Geomechanics, 3, 33-47. http://dx.doi.org/10.1002/nag.1610030105
Dobrovolsky, I.P.
(2014) The Integral Equation, Corresponding to the Ordinary Differential
Equation. Open Access Library Journal, 1, e1058. http://dx.doi.org/10.4236/oalib.1101058
