Accession Number : AD0016447


Title :   ON THE AXISYMMETRIC PROBLEM OF ELASTICITY THEORY FOR A MEDIUM W9T8 TRANSVERSE ISOTROPY


Corporate Author : ILLINOIS INST OF TECH CHICAGO


Personal Author(s) : Eubanks, E A ; Sternberg, E


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/016447.pdf


Report Date : 01 Jul 1953


Pagination or Media Count : 21


Abstract : A systematic derivation is presented of Lekhnitsky's approach (J. Appl. Math. Mech., USSR Acad. Sci. 4, no. 3:43, 1940) to problems with torsionless axisymmetry in a medium possessing transverse isotropy. The derivation is preceded by a generalization of a theorem of Almansi (Ann. di Mat. ser. 3, vol. 2, 1899) concerning the representation of the general solution of Delta 2n F=0 in terms of harmonic functions.


Descriptors :   *ELASTIC PROPERTIES , HARMONICS , MATHEMATICS , SOLUTIONS(GENERAL) , AXISYMMETRIC , FUNCTIONS


Subject Categories : Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE