Engineering Transactions,

**32**, 4, pp. 451-465, 1984### Stress Distributions in an Elastic Semi-space Due to Point Sources

Exact closed form expressions for the displacements and stresses are constructed for a linear isotropic elastic semi-space subjected to point sources applied at a finite distance h beneath its stress-free piane boundary. Point-sources considered are a single force, a double-force, a centre of rotation and a centre of dilatation. Equations of elasto-statics are solved using the potential function approach of PAPKOVITCH and NEUBER [5], and explicit expressions for potentials are generated when the above forces are placed in an infinite-space. Expressions for the half-space potentials are developed from the full-space potentials by Aderogba's integro-differentia formulae. Three-dimensional graphs depict variation of stresses in the interior of the elastic semi-space.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

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