Abstract
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 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.
Résumé
On développe des procédures pour le calcul des contraintes principales dans un cylindre circulaire long et creux, constitué d'un matériau fragile et orthotrope et anisotrope sujet à une pression uniforme interne et à un gradient de température radiale axisymétrique. La méthode Runge-Kutta est utilisée dans la solution, après une étape itérative initiale. Une équation pour la probabilité de rupture du cylindre dérivée de la distribution de Weibull, est présentée; dans cette équation, on tient compte de l'anisotropie des propriétés mécaniques. Afin d'illustrer leur application, les équations ont été utilisées pour déterminer les contraintes et la probabilité de fissure pour un cylindre isotrope et un cylindre particulièrement anisotropique, tous deux soumis à une pression interne et à un gradient radial de la température. Les résultats sont discutés sous forme critique.
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Stanley, P., Margetson, J. Failure probability analysis of an elastic orthotropic brittle cylinder subjected to axisymmetric thermal and pressure loading. Int J Fract 13, 787–806 (1977). https://doi.org/10.1007/BF00034323
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DOI: https://doi.org/10.1007/BF00034323