On the distribution of energy in the ductile fracture of high strength steels
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AND
D. C. HILL
The d i s t r i b u t i o n of e n e r g y in the ductile f r a c t u r e of high s t r e n g t h s t e e l s is i n v e s t i g a t e d by c o n s i d e r i n g two c o n t r i b u t i o n s to the total e n e r g y : a d i s s i p a t i v e e n e r g y t e r m and a d i s l o c a tion s t o r a g e t e r m . By m e a n s of a m a t e r i a l c h a r a c t e r i s t i c r e l a t e d to the m e a n i n t e r i n c l u s i o n s p a c i n g on a f r a c t u r e s u r f a c e , it is p o s s i b l e to c a l c u l a t e the r e l a t i v e i m p o r t a n c e of each e n e r g y t e r m . It is shown that the d i s s i p a t i o n t e r m p r e d o m i n a t e s and a c c o u n t s for about 96 pct of the total e n e r g y a b s o r b e d in the ductile f r a c t u r e p r o c e s s .
T H E p r o b l e m of m e a s u r i n g and a d e q u a t e l y defining the such as heat g e n e r a t i o n , and f r o m d i s l o c a t i o n i n t e r a c i m p a c t e n e r g y or f r a c t u r e t o u g h n e s s of a m a t e r i a l is a t i o n s , such as f o r e s t cutting, n o n - c o n s e r v a t i v e glide, c o n t i n u i n g e n g i n e e r i n g p r o b l e m . At p r e s e n t , we a r e and so forth. The d i s l o c a t i o n s t o r a g e t e r m i n c l u d e s only b e g i n n i n g to achieve the insight n e c e s s a r y to p r o the n e t e n e r g y change which o c c u r s in the p l a s t i c zone vide safe d e s i g n c r i t e r i a for s t r u c t u r e s . 1 B e c a u s e the ahead of the m o v i n g c r a c k due to d i s l o c a t i o n s b e i n g r e f r a c t u r e p r o c e s s itself is so complex, it has b e e n a p t a i n e d in this r e g i o n a f t e r f r a c t u r e . In g e n e r a l , it has p r o a c h e d f r o m d i f f e r e n t but p a r a l l e l paths. The two b e e n found that the d i s l o c a t i o n s t o r a g e t e r m is s m a l l m a i n paths have b e e n the c o n t i n u u m approach and the as c o m p a r e d to the d i s s i p a t i o n t e r m . 5 F o r c o m p l e t e m i c r o s t r u c t u r a l approach. The c o n t i n u u m approach n e s s , however, both t e r m s will be used in the followuses m a t h e m a t i c a l a n a l y s i s to p r e d i c t s o m e q u a n t i t a ing a n a l y s i s ; it will be shown at the end of the a n a l y s i s tive f r a c t u r e c r i t e r i a . In g e n e r a l , the m a t e r i a l c h a r a c that if r e p o r t e d d i s l o c a t i o n d e n s i t i e s a r e used to e s t i t e r i s t i c s a r e s i m p l i f i e d b y m a k i n g them l i n e a r and i s o m a t e the m a g n i t u d e of the d i s l o c a t i o n s t o r a g e t e r m t r o p i c . The m i c r o s t r u c t u r a l a p p r o a c h has b e e n m o r e this t e r m can indeed be neglected. qualitative and uses e x p e r i m e n t a l o b s e r v a t i o n s on f r a c t u r e s u r f a c e s to explain the r e s u l t s of m e c h a n i c a l t e s t s . 2 P l a s t i c Volume Both of t h e s e a p p r o a c h e s have b e
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