Back
 OALibJ  Vol.2 No.7 , July 2015
Unidimensional Inhomogeneous Isotropic Elastic Half-Space
Igor Petrovich Dobrovolsky
Show more
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.
Keywords: Continuous Heterogeneity, The Integro-Differential Equation, Bidimensional Fourier’s Transformation
Cite this paper: Dobrovolsky, I. (2015) Unidimensional Inhomogeneous Isotropic Elastic Half-Space. Open Access Library Journal, 2, 1-6. doi: 10.4236/oalib.1101670.
References

[1]   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

[2]   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

[3]   Guler, M.A. and Erdogan, F. (2004) Contact Mechanics of Graded Coatings. International Journal of Solids and Structures, 41, 3865-3889.
http://dx.doi.org/10.1016/j.ijsolstr.2004.02.025

[4]   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

[5]   Lomakin, V.A. (1976) The Elasticity Theory of Inhomogeneous Solid. The Moscow Univercity, Moscow, 368 p.

[6]   Kamke, E. (1959) Differential Gleichungen. Lösungsmetohden und Losungen. Leipzig.

 
 
Top