On the Newtonian potentials of heterogeneous ellipsoids and elliptical discs

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2013, 2001, Pages 2227-2250

  Rahman, M ^a  

^a CENTRO RICERCHE FIAT   (Italy)

Author keywords

Ellipsoids; Elliptical discs; Ferrers Dyson theorem; Newtonian potential; Polynomial mass density

Indexed keywords

EID: 7444237496     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0822     Document Type: Article

References (28)

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4. On the potentials of ellipsoids, ellipsoidal shells, elliptic laminae and elliptic rings of variable densities
5. An essay on the determination of the exterior and interior attractions of ellipsoids of variable densities
6. On some general formulae for the potentials of ellipsoids, shells and discs
7. Three-dimensional stress distribution around an elliptical crack under arbitrary loadings
8. Three-dimensional crack problems
9. The mathematical developments of the classical ellipsoids
10. On ellipsoidal harmonics
11. Stress-intensity factor for an elliptical crack under arbitrary normal loading
12. On the Newtonian potential of a heterogeneous ellipsoid
13. An embedded elliptical crack, in an infinite solid, subject to arbitrary crack-face tractions