An analogue of the Kolosoff-Muskhelishvili formulae in three dimensions
Author:
Darrell D. Penrod
Journal:
Quart. Appl. Math. 23 (1966), 313-322
MSC:
Primary 73.30
DOI:
https://doi.org/10.1090/qam/193823
MathSciNet review:
193823
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References |
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Additional Information
- P. W. Ketchum, A Complete Solution of LaPlace’s Equation by an Infinite Hypervariable, Amer. J. Math. 51 (1929), no. 2, 179–188. MR 1506711, DOI https://doi.org/10.2307/2370704
- R. J. Duffin, Analytic continuation in elasticity, J. Rational Mech. Anal. 5 (1956), 939–950. MR 82806, DOI https://doi.org/10.1512/iumj.1956.5.55035
H. W. Knerr, Functions of an Infinite Harmonic Hypervariable, A. B. Thesis, University of Illinois (1929)
- A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
J. Boussinesq, Applications des Potentiels a l ’Etude de l ’Equilibre et du Mouvment des Solides Elastiques, Gauthier-Villars, Paris, 1885.
V. Cerruti, Ricerche intorno all’ equilibrio de’ corpi elastici isotropi, Acc. Lincei Mem. fis. mat., Roma (3) 13, 81-122 (1882)
R. D. Mindlin, Force at a Point in the Interior of a Semi-infinite Solid, Physics 7, 195-202 (1936)
L. Rongved, Force at a Point in the Interior of a Semi-infinite Solid with Fixed Boundary, J. A. M. 22, 545-546 (1955)
P. W. Ketchum, A Complete Solution of Laplace’s Equation by an Infinite Hypervariable, American Journal of Mathematics, 51, 179-188 (1929)
R. J. Duffin, Analytic Continuation in Elasticity, Journal of Rat. Mech. and Anal., 5, 939-950 (1956)
H. W. Knerr, Functions of an Infinite Harmonic Hypervariable, A. B. Thesis, University of Illinois (1929)
A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, fourth edition, Dover Publications, New York, 1944
J. Boussinesq, Applications des Potentiels a l ’Etude de l ’Equilibre et du Mouvment des Solides Elastiques, Gauthier-Villars, Paris, 1885.
V. Cerruti, Ricerche intorno all’ equilibrio de’ corpi elastici isotropi, Acc. Lincei Mem. fis. mat., Roma (3) 13, 81-122 (1882)
R. D. Mindlin, Force at a Point in the Interior of a Semi-infinite Solid, Physics 7, 195-202 (1936)
L. Rongved, Force at a Point in the Interior of a Semi-infinite Solid with Fixed Boundary, J. A. M. 22, 545-546 (1955)
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Article copyright:
© Copyright 1966
American Mathematical Society
