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NASA Scientific and Technical Aerospace Reports

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20040112043 <strong>NASA</strong> Glenn Research Center, Clevel<strong>and</strong>, OH, USA<br />

Probabilistic Assessment of a CMC Turbine Vane<br />

Murthy, Pappu L. N.; Brewer, Dave; Mital, Subodh K.; [2004]; 20 pp.; In English; ASME Turbo Expo 2004, 14-17 Jun. 2004,<br />

Vienna, Austria<br />

Contract(s)/Grant(s): 22-714-30-09; No Copyright; Avail: CASI; A03, Hardcopy<br />

In order to demonstrate the advanced CMC technology under development within the Ultra Efficient Engine Technology<br />

(UEET) program, it has been planned to fabricate, test <strong>and</strong> analyze an all CMC turbine vane made of a SiC/SiC composite<br />

material. The objective was to utilize a 5-II Satin Weave SiC/CVI SiC/ <strong>and</strong> MI SiC matrix material that was developed<br />

in-house under the Enabling Propulsion Materials (EPM) program, to design <strong>and</strong> fabricate a stator vane that can endure<br />

successfully 1000 hours of engine service conditions operation. The design requirements for the vane are to be able to<br />

withst<strong>and</strong> a maximum of 2400 F within the substrate <strong>and</strong> the hot surface temperature of 2700 F with the aid of an in-house<br />

developed Environmental/Thermal Barrier Coating (EBC/TBC) system. The vane will be tested in a High Pressure Burner Rig<br />

at <strong>NASA</strong> Glenn Research Center facility. This rig is capable of simulating the engine service environment. The present paper<br />

focuses on a probabilistic assessment of the vane. The material stress/strain relationship shows a bilinear behavior with a<br />

distinct knee corresponding to what is often termed as first matrix cracking strength. This is a critical life limiting consideration<br />

for these materials. The vane is therefore designed such that the maximum stresses are within this limit so that the structure<br />

is never subjected to loads beyond the first matrix cracking strength. Any violation of this design requirement is considered<br />

as failure. Probabilistic analysis is performed in order to determine the probability of failure based on this assumption. In the<br />

analysis, material properties, strength, <strong>and</strong> pressures are considered r<strong>and</strong>om variables. The variations in properties <strong>and</strong> strength<br />

are based on the actual experimental data generated in house. The mean values for the pressures on the upper surface <strong>and</strong> the<br />

lower surface are known but their distributions are unknown. In the present analysis the pressures are considered normally<br />

distributed with a nominal variation. Temperature profile on the vane is obtained by performing a CFD analysis <strong>and</strong> is assumed<br />

to be deterministic.<br />

Author (revised)<br />

Probability Theory; Structural Failure; Failure Analysis; Ceramic Matrix Composites; Turbine Blades; Vanes<br />

20040112049 <strong>NASA</strong> Glenn Research Center, Clevel<strong>and</strong>, OH, USA<br />

The Effect of Stress Rate on Slow Crack Growth Parameter Estimates<br />

Salem, Jonathan A.; Jenkins, Michael G.; [2004]; 21 pp.; In English; ASME Turbo Expo, 14-17 Jun. 2004, Vienna, Austria;<br />

No Copyright; Avail: CASI; A03, Hardcopy<br />

The use of dynamic fatigue testing to generate data for life prediction assumes that test specimen lifetime is dominated<br />

by a single region of the slow crack growth (SCG) curve. This assumption breaks down at excessive stressing rates when a<br />

significant portion of the crack growth occurs in all three regions of the SCG curve. The resultant averaging of data<br />

representing all three regions of the SCG curve results in an error, <strong>and</strong> such data may not be accurate for lifetime predictions.<br />

Dynamic fatigue tests covering five orders of magnitude were performed on an alumina. Statistical analysis indicates a<br />

significant effect of stress rate on the SCG parameter n for stress rates above several MPa/s, in agreement with analytical<br />

results of Sudreau et al. Recommendations for dynamic fatigue testing are given with regard to the current procedures in<br />

ASTM C 1368.<br />

Author<br />

Stress Analysis; Crack Propagation; Fatigue Tests<br />

20040112053 <strong>NASA</strong> Glenn Research Center, Clevel<strong>and</strong>, OH, USA<br />

Estimation <strong>and</strong> Simulation of Slow Crack Growth Parameters from Constant Stress Rate Data<br />

Salem, Jonathan A.; Weaver, Aaron S.; Mechanics of Ceramics; [2003]; Volume 12; 21 pp.; In English; 8th International<br />

Symposium on Fracture Mechanics of Ceramics, 26-28 Feb. 2003, Houston, TX, USA<br />

Contract(s)/Grant(s): WBS 400-35-40-07; No Copyright; Avail: CASI; A03, Hardcopy<br />

Closed form, approximate functions for estimating the variances <strong>and</strong> degrees-of-freedom associated with the slow crack<br />

growth parameters n, D, B, <strong>and</strong> A(sup *) as measured using constant stress rate (’dynamic fatigue’) testing were derived by<br />

using propagation of errors. Estimates made with the resulting functions <strong>and</strong> slow crack growth data for a sapphire window<br />

were compared to the results of Monte Carlo simulations. The functions for estimation of the variances of the parameters were<br />

derived both with <strong>and</strong> without logarithmic transformation of the initial slow crack growth equations. The transformation was<br />

performed to make the functions both more linear <strong>and</strong> more normal. Comparison of the Monte Carlo results <strong>and</strong> the closed<br />

form expressions derived with propagation of errors indicated that linearization is not required for good estimates of the<br />

variances of parameters n <strong>and</strong> D by the propagation of errors method. However, good estimates variances of the parameters<br />

137

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