DOI: 10.1098/rspa.1959.0173. The elastic field outside an ellipsoidal inclusion

The elastic field outside an ellipsoidal inclusion

10.1098/rspa.1959.0173

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (175)

Abstract

The results of an earlier paper are extended. The elastic field outside an inclusion or inhomogeneity is treated in greater detail. For a general inclusion the harmonic potential of a certain surface distribution may be used in place of the biharmonic potential used previously. The elastic field outside an ellipsoidal inclusion or inhomogeneity may be expressed entirely in terms of the harmonic potential of a solid ellipsoid. The solution gives incidentally the velocity field about an ellipsoid which is deforming homogeneously in a viscous fluid. An expression given previously for the strain energy of an ellipsoidal region which has undergone a shear transformation is generalized to the case where the region has elastic constants different from those of its surroundings. The Appendix outlines a general method of calculating biharmonic potentials.

Bibliography

The elastic field outside an ellipsoidal inclusion. (1959). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 252(1271), 561â569.

Authors 0

None

References 5 Referenced 1,075

Christian J. W. 1958
{'key': 'p_2', 'volume': '7', 'author': 'Christian J. W.', 'journal-title': 'Acta Metall.'} / Acta Metall. by Christian J. W.
Daniele E. 1911 Nuovo
Dirichlet G. L. 1839
{'key': 'p_5', 'volume': '6', 'author': 'Dyson F. W.', 'journal-title': 'Quart. J. Pure ActaMetall.'} / Quart. J. Pure ActaMetall. by Dyson F. W.

Dates

Type	When
Created	18 years, 8 months ago (Dec. 18, 2006, 5:24 p.m.)
Deposited	4 years, 6 months ago (Feb. 17, 2021, 1:50 p.m.)
Indexed	1 week, 3 days ago (Aug. 12, 2025, 5:53 p.m.)
Issued	65 years, 9 months ago (Oct. 27, 1959)
Published	65 years, 9 months ago (Oct. 27, 1959)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	65 years, 9 months ago (Oct. 27, 1959)

Funders 0

None

BibTeX

@article{1959, volume={252}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1959.0173}, DOI={10.1098/rspa.1959.0173}, number={1271}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1959}, month=oct, pages={561–569} }

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