On the saint Venant problem for a nonhomogeneous elastic materi
Open Access
- 1 April 1965
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 23 (1) , 19-25
- https://doi.org/10.1090/qam/99946
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.Keywords
This publication has 4 references indexed in Scilit:
- Bending of nonhomogeneous barsInternational Journal of Mechanical Sciences, 1963
- A Nonhomogeneous Beam in Plane StressJournal of Applied Mechanics, 1962
- Torsion of compound bars—A relaxation solutionInternational Journal of Mechanical Sciences, 1960
- Three-dimensional stress functionsJournal of the Franklin Institute, 1954