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MECHANICAL DAMPING AT HIGH TEMPERATURES IN ALUMINIDES
A. Wolfenden, M. Harmouche, J. Hartman, Jr.
To cite this version:
A. Wolfenden, M. Harmouche, J. Hartman, Jr.. MECHANICAL DAMPING AT HIGH TEMPER- ATURES IN ALUMINIDES. Journal de Physique Colloques, 1985, 46 (C10), pp.C10-391-C10-394.
�10.1051/jphyscol:19851088�. �jpa-00225473�
MECHANICAL DAMPING AT HIGH TEMPERATURES IN ALUMINXDES
A. WOLFENDEN, M.R. HARMOUCHE and J.T. HARTMAN, Jr.
Mechanical Engineering Department, Texas A&M University, College Station, Texas 77843, U.S.A.
A b s t r a c t
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Measurements o f t h e i n t e r n a l f r i c t i o n Q-1 and Young's Modu us E o f a l t e r ' n a t i v e m a t e r i a l s f o r h i g h temperature s e r v i c ea r e !-eported. The technique used i s t h e PUCOT, where E and f o r t h e ordered 52 FeAl were measured as a f u n c t i o n o f tempera- t u r e T and s t r a i n amplitude E , r e s p e c t i v e l y . I t i s shown t h a t t h e Granato-Luecke theory p r e d i c t s low mobile d i s l o c a t i o n d e n s i t i e s . E decreases 1 in e a r l y w i t h T such t h a t 0.080 ,<dE/dT< 0.095 GPa/K i n t h e temperature range 300-998 K.
I
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INTRODUCTIONSuperalloys, w h i l e o f f e r i n g remarkable mechanical p r o p e r t i e s , have become vulnerable f o r two c h i e f reasons : 1) superalloys c o n t a i n l a r g e q u a n t i t i e s o f s t r a t e g i c metals t h e supply o f which i s u n c e r t a i n , and 2 ) on a long term b a s i s , these expensive metals need t o be con- served. Today, t h e e f f o r t t o i d e n t i f y a1 t e r n a t i v e m a t e r i a l s f o r h i g h temperature o p e r a t i o n i s more e s s e n t i a l than ever. I n t e r m e t a l l i c compounds such as t h e ordered 92 FeAl o f f e r such an a l t e r n a t i v e , since t h e contents o f these a l l o y s a r e r e a d i l y a v a i l a b l e and a l u m i n i - des o f f e r e l a s t i c p r o p e r t i e s c o m p e t i t i v e w i t h those o f t h e super- a l l o y s . Thus, t h e i r p o t e n t i a l t o ease t h e burden on t h e use o f s t a t e g i c m a t e r i a l s need n o t be f o r g o t t e n . Experimental r e s u l t s 0 f . Q -
i!
-versus E are analyzed I n terms o f t h e Granato-Luecke (G-L) theory o f d i s l o c a t i o n damping /1/ t o y i e l d estimated values f o r minor and ,major p i n n i n g lengths o f d i s l o c a t i o n s , and t h e d e n s i t y o f mobile
d i s l o c a t i o n s . A d d i t i o n a l l y , Young's moduli a r e given as a f u n c t i o n of temperature.
I 1
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EXPERIMENTAL PROCEDURESThe p i e z o e l e c t r i c u l t r a s o n i c composite o s c i l l a t o r technique (PUCOT) f o r measuring E , E and Q-1 i s described elsewhere /2-4/. The compositions o f t h e m a t e r i a l t e s t e d appear i n Table 1.
I 1 1
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RESULTS AND DISCUSSION Young's ModulusThe r e s u l t s obtained f o r t h e moduli appear i n Table 2. For a1 1
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19851088
C10-392 JOURNAL DE PHYSIQUE
p r a c t i c a l purposes E versus T f o l l o w s t h e form E=E ( 0 )
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T (dE/dT) where 283 ,< E(0) 6 291 GPa and 0.080 6 dE/dT 6 0.095 GPa/K. Equations o f t h i s nature have been r e p o r t e d e a r l i e r /5/. E decreases from about 260 GPa a t ambient temperature t o about 200 GPa a t 998 K.I n t e r n a l F r i c t i o n .
The s t r a i n amplitude E dependence o f i n t e r n a l f r i c t i o n ~ - 1 i n two FeAl a l l o y s a t t h r e e temperatures i s shown i n F i g u r e 1. The curves have a v a r i e t y o f shapes, i n c l u d i n g s t r a i g h t l i n e s . Most o f t h e curves a r e o f t h e form Q-1 = Q T ~ + Q,j1 where Q j1 i s t h e amplitude independent p a r t o f Q - l ( h o r i z o n t a 7 p a r t ) and Q-1 i s t h e amplitude dependent p o r t i o n . These curves are now analyged i n terms o f t h e 1981 v e r s i o n o f the G-L t h e o r y o f amplitude dependent damping due t o d i s l o c a t i o n l i n e s and t h e i r break away from p i n n i n g p o i n t s a t h i g h s t r a i n amplitude. Thermal depinning i s taken i n t o account. G-L p l o t s
/E versus 1/ were made t o o b t a i n estimates o f t h e minor p i n n i n g o f d i s l o c a t i o n 1 in e s LC and the m o b i l e d i s l o c a t i o n d e n s i t y A.
Such p l o t s are shown i n F i g u r e 2. E s s e n t i a l l y , a l l data p o i n t s f a l l on s t r a i g h t l i n e s as p r e d i c t e d by t h e theory. The c a l c u l a t e d values f o r LC and A a r e given i n Table 1. Values o f LC andA are found t o be i n t h e range 20 t o 600 nm and 10 1 t o 10 3 cm -2, r e s p e c t i v e l y . Such values a r e reasonable f o r t h i s i n t e r m e t a l l i c m a t e r i a l i n view o f t h e expected low d i s l o c a t i o n d e n s i t i e s . The reasonableness o f t h e e s t i m a t e d values o f LC i s judged as f o l l o w s . These m a t e r i a l s c o n t a i n i m p u r i t i e s such as C, H, N and 0 t o a t o t a l o f 0.23 atomic %. Such i m p u r i t i e s a r e l i k e l y t o be s i t u a t e d on d i s l o c a t i o n l i n e s and c o u l d a c t as minor p i n n i n g points. For a g i v e n value o f L , say 5 nm, t h e number o f p i n n i n g p o i n t s expressed as atomic f r a c t i o f i would be near 0.3 atomic %. T h i s number i s c o n s i s t e n t w i t h the i n t e r p r e t a t i o n o f t h e i m p u r i t i e s i n FeAl a c t i n g as p i n n i n g p o i n t s f o r d i s l o c a t i o n l i n e s . F u r t h e r a n a l y s i s o f t h i s k i n d w i l l be undertaken f o r s i m i l a r a l l o y s a t h i g h e r temperatures, and t h e e f f e c t o f thermal depinning w i l l be exami ned
.
XV - CONCLUSIONS
1. Young's modulus decreases from about 260 GPa a t 300 K t o about 200 GPa o u t 988 K w i t h dE/dT near 0.085 GPa/K.
2. The G-L theory p r e d i c t s v a l u s f o r LC and A i n t h e ranges o f 20-600 rim and
lo1
t o 103 cm-l, r e s p e c t i v e l y .REFERENCES
/1/ Granato, A. V. and Luecke, K., J. o f A p p l i e d Phys.
52
(1981)7136. .
/2/ Marx, J., Rev. Sci. I n s t r . 22 (1951) 503.
/3/ Robinson, W. H. and Edgar, AT; IEEE Trans. on Sonics and U l t r a s o n i c s SU-21 (1974) 98.
/4/ Wolfenden, A.anZIRobinson, W. H., Acta Met. 25 (1977) 823.
/5/ Moutural, P. e t al., J. Nucl. Mat.
21
(1967)T49.Composition of Specimens and R e s u l t s of t h e Granato-Luecke Analysis
Composition Temperature Binding Major M i nor Pinning D i s l o c a t i o n (K) Energy Pinning Pinning P o i n t s Density
(eV) Length Length p e r Major (cm-2)
(pm) (nm) Pin
55.27 at.% 783 0.2 0.1 21.3 4.68 849
FeAl 1.0 21.3 46.8 8.49
1 .O 0.1 106 .935 379
55.27 at.% 473 0.2 0.1 615 .16 5.45
FeAl 1.0 0.1 3070 ,032 2.4
2.0 0.1 6150 .016 1.7
51.74 at.% 683 0.2 0.1 18.2 5.48 20.5
FeAl 1 .O 0.1 91.2 1.09 9.1
2.0 0.1 182 .548 6.5
51.74 at.% 473 0.2 0.1 29.4 3.4 8.06
FeAl 1.0 0.1 147 .679 3.6
2.0 0.1 294 .339 2.5
TABLE 2. Temperature Dependence of Young's Modulus f o r FeAl A1 loy s Young's Modul us/GPa
I.D. A t % Fe 298 K 473 K 638 K 783 K 983 K
IMI I-ZB 51.74 262 241 231 221 205
IMII-3B 52.30 263 240 234 215 206
IMI 1-48 53.03 264 244 232 217 201
IMI I-5B 54.14 266 249 238 224 210
IMI I-6B 55.27 268 244 234 219 205
IMI 1-76 56.60 270 235
IMI I-8B 58.15 260 244 229 217 194
Research sponsored by NASA-Lewis Research Center, Program Manager Dr.
J. D. Whittenberger.
C10-394 JOURNAL DE PHYSIQUE
12 I I I 1 2
1 55.27 at. % Fe-AI
10 - 0 58.15 -, 10
- T/K=473 - 8
Fig. 1 - S t r a i n amplitude dependence of internal f r i c t i o n in two FeAl alloys a t t h r e e temperatures.
0 - 3 ~ - 1
Fig. 2