Engineering Transactions, 32, 4, pp. 451-465, 1984

Stress Distributions in an Elastic Semi-space Due to Point Sources

S. Gozde
Department of Mechanical Engineering, The University of Calagary, Alberta
Canada

L. Chowdhury
Department of Mechanical Engineering, The University of Calagary, Alberta
Canada

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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References

D. L. SHARMA, A general solution of elastostatic equations in a half-space, I. Math. Anal. Appl., 21, 1, 99-111, 1968.

R. D. MINDLIN, D. H. CHENG, Thermoelastic stress in the semi-infinite solid, J. Appl. Physics, 21, 931-933, 1950.

K. ADEROOBA, On eigenstresses in a semi-infinite solid, Math. Proc. Cambridge Phil. Soc., 80, 555-563, 1976.

L. I. LURE, Three dimensional problems of elasticity, Academic Press, 1964.

H. NEUBER, Kerbspannungslehie, 2nd ed., Springer-Verlag, Berlin, 1958.




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