On the axially symmetric deformation of a nonhomogeneous, elastic material

✍ Scribed by R.D. Schile; R.L. Sierakowski

• Publisher: Elsevier Science
• Year: 1964
• Tongue: English
• Weight: 345 KB
• Volume: 278
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(64)90586-1

✦ Synopsis

The problem of stress analysis of a solid of revolution, deformed symmetrically with respect to the axis, in which the elastic "constants" are arbitrary functions of the radial and axial coordinates is considered. The solution of the torsion-free problem is formulated in terms of two stress functions which are determined by two coupled partial differential equations with variable coe~cients. The torsion problem is solved by means of a single stress function.

In addition, the following three special cases of interest to engineers are considered:

1. Torsion of a circular bar of varying section 2. Circular bar in tension 3. Pressurized thick cylinder