scholarly journals NORMALIZED STRESS INTENSITY FACTOR RANGE SOLUTIONS OF AN INNER-SURFACE CIRCUMFERENTIAL CRACK IN THIN- TO THICK-WALLED CYLINDER UNDER THERMAL STRIPING BY SEMI-ANALYTICAL NUMERICAL METHOD

2004 ◽  
Vol 27 (3) ◽  
pp. 253-267
Author(s):  
Toshiyuki Meshii ◽  
Katsuhiko Watanabe
Author(s):  
Toshiyuki Meshii ◽  
Kentaro Shibata ◽  
Katsuhiko Watanabe

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 ΔT. 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 ΔT, the mean radius to wall thickness ratio rm/W of the cylinder, the thermal expansion coefficient and Poisson’s ratio are specified. 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 rm/W = 10 to 1.


2004 ◽  
Vol 126 (2) ◽  
pp. 157-162 ◽  
Author(s):  
Toshiyuki Meshii ◽  
Katsuhiko Watanabe

This paper tries to explain the interesting field data that indicate a surface axisymmetric circumferential crack inside a hollow cylinder (circumferential crack) shows tendency toward crack arrest, when the temperature of the fluid inside the cylinder experiences sinusoidal fluctuation (thermal striping). For this purpose, transient stress intensity factor (SIF) range of a circumferential crack in a finite-length thick-walled cylinder with rotation-restrained edges, under thermal striping, was analyzed. It was assumed that the fluid temperature changes sinusoidally and that heat transfer coefficient is constant. First an analytical temperature solution for the problem was obtained and it was combined with our SIF evaluation method derived based on superposition principle and Duhamel’s analogy. Then we defined the maximum SIF range as the maximum value of the SIF range during thermal striping and studied the characteristic change of this maximum SIF range with the variation of crack depth to explain the crack arrest tendency. Results showed that the maximum SIF range under thermal striping decreases monotonously when crack depth is varied to become deeper than a specific value, which corresponds to the crack arrest tendency.


Author(s):  
Toshiyuki Meshii ◽  
Katsuhiko Watanabe

In this paper we considered the normalized stress intensity factor (SIF) of an inner-surface circumferential crack in a thin- to thick-walled finite-length cylinder under thermal striping. The edges of the cylinder were rotation-restrained and the outer surface was adiabatically insulated. Inner surface of the cylinder was heated by a fluid with sinusoidal temperature fluctuation. We combined an analytical temperature solution for the problem and our SIF evaluation method for the crack, and as a result, showed that the transient SIF solution can be expressed in a generalized form by dimensionless parameters such as mean radius to wall thickness ratio, Biot number, normalized striping frequency and Fourier number. Finally, normalized SIF ranges for the 1st cycle and steady state were given for these dimensionless parameters in tables for mean radius to wall thickness ratio of 10, 5 and 1.


Author(s):  
Toshiyuki Meshii ◽  
Katsuhiko Watanabe

This paper tries to explain the interesting field data that indicate a surface axisymmetric circumferential crack inside a hollow cylinder (circumferential crack) shows tendency toward crack arrest, when the temperature of the fluid inside the cylinder experiences sinusoidal fluctuation (thermal striping). Maximum stress intensity factor (SIF) range of a circumferential crack in a finite-length thick-walled cylinder with rotation-restrained edges, under thermal striping, was studied for this attempt. It was assumed that the fluid temperature changes sinusoidally and that heat transfer coefficient is constant. Results showed that the maximum SIF range under thermal striping decreases monotonously when crack depth is varied to become longer than a specific value, which corresponds to the crack arrest tendency. These results are similar to those obtained for the step temperature change. Thus, characteristics obtained for the step temperature change, such as the existence of an upper limit for the normalized crack arrest depth independent of the cylinder material and fluid temperature, are valid also for thermal striping (163 words).


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