Messrs. H. Nagaoka and K. Honda on Magnetostriction. 279 



Supposing the magnetization to be uniform, the component 

 of the internal force would be 





' ' 



A 2 = 0, B 2 =^ H 2 cos 0=/3IFcos 0, 



B = 0, G = 0. 



The surface-traction on the end-faces, which we consider 

 to be perpendicular to the <r-axis, has components 



A 1 = (27rP+ *~^~*" )h 2 = «H 2 , 



B! = 0, C i = 0. 



On the lateral faces 



k-k' 



2 



2 = £=£ H 2 sin 6 = /3H 2 sin 0, 



where 6 is the angle made by the normal with the ?/-axis. Thus 

 the surface-traction - •. 



X„ = aH 2 =-X x , 



Y n =£H 2 cos = - Y y cos 0, 

 Z n =/3H 2 sin<9=-Z,sin0, 

 and X y = Y z =Z, = 0, 



which satisfy the equations . 



dX x ?)X^ ?)X Z _ ~ 



SI, + 91^^-0 



^Zx r)Z y _j_ ?)Z Z _ 

 d# 9# r> ~" 



Thus we get the equations 



- Y ,= 2K (| + ®-)=/3ff 



-Z,= 2K(g' + ©,r)=/3H*, 



X2 



