22 ART. 6.-S. KÜSAKABE: 



increasing, so that N is the amount of couple in which the f th reversal 

 occurs. 



These premised, we may write the general expression for the 

 hysteresis function as follows : — 

 If v is even, the amount of yielding, %, is given by the expression 



Hog z ? — z » — 







(6). 



klog- 



If v is odd, the amount of yielding, <?„, is given by the expression 



-' v •■! v 





r[tf-n+*+lîr|tf-n+r v _,+* + lJ| J /^ g (f 6+7 . 6 ) + tf-n + t+l} | |J f/^j g (/ 6 +r 6 )+r 2/> _ 1 + .V-« + t+lJ 1 



i i 



(7). 



As a particular case, when the twist and untwist occurs A times 

 cyclically within a constant amplitude 21, with origin as centre and 

 the couple not remaining constant at the moment of reversal — i.e. 

 r p —o f the amount of yielding at the increasing stage p is given by ' 



r{4(A+L)8t+p + lj |/>| rrJ4(; + l)2t-(4 ( o + 3)2I + ^ + l}T' 



r /p = Hog— ; — : (8). 



|,o| [~r|4(/+l)3{-(4 ( o+l)2t+p + l}] ' 



