This paper outlines the application of integral transform methods to the solution of boundary value problems in three-dimensional linear elasticity. The system considered consists of an arbitrary number of horizontal layers of varying thickness. The elastic properties of the materials comprising the layers may be orthorhombic, cross-anisotropic or isotropic. The loads are assumed to be applied on horizontal areas on the free surface of or within the layered system. Double Fourier transforms are used to reduce the equilibrium conditions to simultaneous ordinary differential equations for the transformed displacements in terms of the vertical coordinate. Basic solutions for the tranformed displacements are derived. The coefficients associated with the solutions are functions of the transform parameters and can be determined from the boundary conditions. For plane strain loading and circular loading special transforms are shown to be appropriate. The solution techniques presented are directly applicable to a wide range of problems in geomechanics such as building foundations, road and airport pavements, dams, embankments and underground openings. In addition, particular solutions can be incorporated in integral equation and finite element methods for the solution of problems involving complicated geometries and boundary conditions. /Author/

  • Corporate Authors:

    Commonwealth Scientific & Industrial Research Org

    314 Albert Street
    East Melbourne, Victoria,   Australia 
  • Authors:
    • Wardle, L J
  • Publication Date: 1977

Media Info

  • Features: Appendices; References;
  • Pagination: 22 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00163644
  • Record Type: Publication
  • Report/Paper Numbers: Tech Paper No. 27
  • Files: TRIS
  • Created Date: Jan 13 1978 12:00AM