Stress-strain relationship during transformation enhanced plasticity
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t e n s i l e t e s t s of 316 s t a i n l e s s s t e e l s p e c i m e n s 5 do not change s i g n i f i c a n t l y In the t e s t t e m p e r a t u r e r a n g e of 200 to 600~ and the s a m e should be t r u e f o r the c a s e of 304 s t a i n l e s s s t e e l In addition, the s t r a i n h a r d e n tng c o e f f i c i e n t v a l u e s a r e shown to v a r y i n v e r s e l y with the s u b g r a i n d l m e n s t o n s , s The s u b s t r u c t u r e being an i m p o r t a n t p a r a m e t e r In the c o r r e l a t i o n of h a r d n e s s with t e n s i l e s t r e n g t h ts p r e s e n t l y b e i n g e v a l u a t e d with the use of a 200 kV t r a n s m i s s i o n e l e c t r o n m i c r o s c o p e . In p a r t i c u l a r , the d i s l o c a t i o n a r r a n g e m e n t s in the r e gion of the h a r d n e s s indent and in the gage s e c t i o n of t e n s i l e s p e c i m e n s s t r a i n e d to v a l u e s of about 8 pct a r e b e i n g studied. This w o r k was p e r f o r m e d under the s p o n s o r s h i p of the United States Atomic E n e r g y C o m m i s s i o n through C o n t r a c t N u m b e r AT(11-1)-2107 and was b a s e d on the Senior R e s e a r c h P r o j e c t of one of the a u t h o r s (P. R. Steber). The a u t h o r s wish to thank R. W. Swindeman of the M e t a l s and C e r a m i c s Division, Oak Ridge National L a b o r a t o r i e s , for p r o v i d i n g the a l l o y s and the p r e l i m i n a r y t e n s i l e data.
1. J. R. Cahoon: Met. Trans., 1972, vol. 3, p. 3040. 2. D. Tabor: J. Inst. Metals, 1951, vol. 79, pp. 1-18. 3. J. R. Cahoon, W. ti. Broughton, and A. R. Kutzak: Met. Trans., 1971, vol. 2, pp. 1979-83. 4. J. L. Kamphouse, J. C. Blake, and J. Moteff: Rev. Sci. Instrum., 1969, vol. 40, pp. 321-25. 5.1). J. Michel, J. Moteff, and A- .I. Lovell: Aeta. Met., 1973, voL 21, pp. 1269-77. 6. K. D. Challenger and J. Moleff: Scr. Met., 1972, vol. 6, pp. 155~60.
C o r r e c t i o n to Met. Trans., 1973, vol. 4
Stress-Strain Relationship During Transformation Enhanced Plasticity, by J . R. C. G u i m a r ~ e s and R. J . De A n g e l i s , pp. 2379-81. In the d e v e l o p m e n t of Eq. [14] it is n e c e s s a r y to use the d e r i v a t i v e of Eq. [3]. The e q u a t i o n s in the p a p e r a p p e a r a s if the change in Y o u n g ' s Modulus with f was n e g l e c t e d . H o w e v e r , we will show h e r e that i n c o r p o r a t i n g this c o n s i d e r a t i o n into the d e v e l o p m e n t d o e s not change the r e s u l t . S t a r t i n g with Eq. [3].
Ep* = c* - - - E
METALLURGICAL TRANSACTIONS
(Eq. 3 in text)
It follows that,
d~*
~r* dE
Knowing that E z >> r the t h i r d t e r m on the right can be n e g l e c t e d . The r e s u l t i n g e x p r e s s i o n is the f o r m e m p l o y e d in the d e v e l o p m e n t of Eq. [14] in the p a p e r . T h e r e f o r e , including the change in modulus with f into the d e v e l o p m e n t , a s it should b e , d o e s not modify the original results.
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