Failure probability analysis of an elastic orthotropic brittle cylinder subjected to axisymmetric thermal and pressure loading

✍ Scribed by P. Stanley; J. Margetson

• Publisher: Springer Netherlands
• Year: 1977
• Tongue: English
• Weight: 777 KB
• Volume: 13
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034323

✦ Synopsis

Procedures for the calculation of the principal stresses in a long hollow circular cylinder of a brittle, orthotropically anisotropic material, subjected to a uniform internal pressure and an axisymmetric radial temperature gradient are developed; the Runge-Kutta method is used in the solution, after an initial iterative stage. An equation for the failure probability of the cylinder, derived from the Weibull distribution, is presented, in which allowance is made for the anisotropy in mechanical strength.

In order to illustrate their application, the equations are used to determine the stresses in and failure probability of an isotropic cylinder and a particular anisotropic cylinder, subjected to an internal pressure or a radial temperature gradient. The results are critically discussed.