56 



Art. 7. — K. Terazawa : 



(rr)o 



n 



m 





l^ 



a—'s/cC^—r- 



+ // 



-}•] 



_ // 



{zz\ = 



dl 9) 



27ra, 's/f^—T- 



for r <: a; and 



{fr\ = 



/7^ 



1 



^ '" 2<yl + />'.) 7--^ 



{Jz\ = 0, 



(1-20) 



for 7' :>• a. 



The stress at the peripher}' of the loaded area is iiifinitly 

 great, so that the elastic body would 1)e ruptured at the edge. The 

 present problem may, therefore, tlirow considerable light upon the 

 explanation of the phenomena of punching. 



§42. The expressions for the stress-components in the 

 interior of the body which, so far as I am aware, have not been 

 treated by any one can be found without using any special 

 functions. We shall take here a simple case, for example, in 

 whicli the material is incompressible. 



Since the integral 



y'>-^Vo^ç/)r7/ = 



1 



I 



is valid for all values of C and ç, real or complex, provided the 

 real part of ~ is not smaller than the al^soluto value of the 

 imaginary part of ç, putting Ç—: — ia, ç = r in tliis integral and 

 equating the imaginary parts in both meml)ers we have . 



fe-'-'^ sin l-a. J,:krâl- = ^^llli£±f-Z^ [Y2\\ 



