Elastic Equilibrium of Semi-Infinite Solid. 



4& 



The series which lias this expression as its general term converges 

 obviously for the value of r smaller than a. Similarly for the 

 second series. 



Since, for z = 0, 



■i 



IJJo) = — , 



-'^=(o) = l, 

 <J.Jo) = 2, 



we have, after suimnation. 

 '" * sin Jia — }ca cos ka 



/■ "^ sin ka — kacoa ka 





(104) 



ff»r r £ a. 



Consequently we have 



/y 



16(/ + ;/> ' a\ -2 ■ a^/' 



(105) 



Fig. 7. 



