On the saint Venant problem for a nonhomogeneous elastic materi
Authors:
R. D. Schile and R. L. Sierakowski
Journal:
Quart. Appl. Math. 23 (1965), 19-25
DOI:
https://doi.org/10.1090/qam/99946
MathSciNet review:
QAM99946
Full-text PDF Free Access
Abstract |
References |
Additional Information
Abstract: The problem considered is the deformation of a cylindrical or prismatical bar, loaded by forces and moments applied at the ends, in which the elastic “constants” are arbitrary functions of two variables. The solution is formulated in terms of the six Beltrami stress functions and it is shown that two of these are sufficient to satisfy both compatibility and the boundary conditions.
J. F. Ely and O. C. Zienkiewicz, Int’l. Jl. Mech. Sci. 1 (1960) 356
R. D. Schile, Int’l. Jl. Mech. Sci. 5 (1963) 439
H. L. Langhaar and M. Stippes, Jl. Franklin Inst. 258 (1954) 371
R. D. Schile, Jl. Appl. Mech. 29 (1962) 582
Additional Information
Article copyright:
© Copyright 1965
American Mathematical Society