elastic 

 buckling 



Near Free End Condition 



(J f^; = 6,000 psi (41.4 MPa) 



C) fc = 10,000 psi (69 MPa) 



\_ 



inelastic buckling 

 (curves not fitted, from 

 Figure 8 design r) curve) 



0.04 0.06 



t/D„ 



Figure 7. Implosion of long cylinder specimens with D = 16 in. (406 mm) (after Ref 4). 



1.2 











Ci 

















1 



9 



1 1 



o 





1.0 













O / moderately long 



- 













\ ^ 













\ \ 



y^ cylinders, from 















V^ 



^/ Figure 5 















\^ 



^ \ y' long cylinders, 

 , \ V^^ from Figure 6 





^- 0.8 



o 



- 









o\ 



- 













"O 





u. 













\ s\ 



\ >\ ^ design r] curve 





c 

 o 



Symbol 



Dq. 



End 

 Condi- 



fc. 



psixlOS 









(mm) 



tion 



(MPa) 



(GPa) 



\\. 





4 0.6 



- n 



54 



simple. 



8,000 



4.24 



\ \ 



- 



<u 





(1372) 



L/Do = 



(55) 



(29.2) 



\ V r^ Q 





X 







2.35 







\\ Q 





>. 



o 



3 



54 

 <1372 



16 



free 



8,000 

 (55) 

 6,000 



4.24 

 (29.2) 



3.05 







K 0.4 



(406) 



free 



(41.4) 



(21.0) 



>» 









© 



16 



near 



10,000 



4.25 



* °. ^ 











(406) 



free 



(69) 



(29.3) 

















flQ 









0.2 



- 















- 





"Sp 



ecimens had known defects. 















1 





1 



1 



1 







0.6 



Oi^/f^ 



Figure 8. Plasticity reduction factor as a function of stress level 

 in cylinder wall at implosion. 



16 



