Simplified method to evaluate upper limit stress intensity factor range of an inner-surface circumferential crack under steady state thermal striping

Abstract

Simplified method to evaluate the upper limit stress intensity factor (SIF) range of an inner-surface circumferential crack in a thin-to thick-walled cylinder under steady state thermal striping was considered in this paper. The edges of the cylinder were rotation-restrained and the outer surface was adiabatically insulated. The inner surface of the cylinder was heated by a fluid with constant heat transfer coefficient whose temperature fluctuated sinusoidally at constant amplitude T. By combining our analytical temperature solution for the problem and our semi-analytical-numerical SIF evaluation method for the crack, we showed that the desired maximum steady state SIF range can be evaluated with an engineering accuracy after T, the mean radius to wall thickness ratio r m /W of the cylinder, the thermal expansion coefficient and Poisson's ratio are specified. By applying our method, no transient SIF analysis nor sensitivity analysis of the striping frequency on the SIF range is necessary. Numerical results showed that our method is valid for cylinders in a range of r m /W = 10-1.

Analysis of Crack Stress Intensity Factor of Coke Drum under Thermal Stress by Weight Function Method

“…Jones [9] also analyzed the problem of a cylindrical shell with circumferential cracks under thermal load, and obtained the function of the stress intensity factor and the crack depth through the impulse response method. Meshii and Watanabe [10][11][12][13][14][15] conducted a lot of research on cylindrical shells with circumferential cracks, including periodic temperature changes and various linear and nonlinear radial temperature fields. The function method and superposition principle consider the problem as a finite-length edge cracked beam, obtain the corresponding stress intensity factor expression, and analyze the influence of the length of the cylindrical shell on the stress intensity factor.…”

Transient Stress Intensity Factors of Functionally Graded Hollow Cylinders with Internal Circumferential Cracks

“…Among various combinations of crack orientation and location, circumferential cracks are often seen at the joint sections of pipelines and pressure vessels mostly because of the incomplete penetration of the weld material into the interface. Therefore, fracture analysis of homogeneous cylindrical geometries with circumferential cracks has been the subject of works of many researches in past decades (Meshii et al 2006;Nied & Erdogan 1983;Grebner 1985).…”

Thermal stress intensity factor expressions for functionally graded cylinders with internal circumferential cracks using the weight function method

“…Therefore, circumferential cracks in pipes and pressure vessels with homogeneous material properties have been the subject of research for many years (see, e.g., [1][2][3][4][5]). …”