58 



Art. 7. — K. Terazawa 



A limited portion of the surface of a large mass of elastic 

 material is subjected to local stress or to local deformation, it is 

 required to find the strain and stress in the bod}^ due to these local 

 disturbances. 



In the case of symmetry about an axis perpendicular to the 

 surface of the body, this problem may be discussed, in a general 

 way, by applying our method of analy.-is. We shall sketch the 

 results here as an addendum. 



The t3q3ical solution of the equilibrium, in this special case, is 





•128) 



and 



? (129) 



etc. ; 

 with the relation 



in which the components ?/e and zd follow from the supposition 

 that J is nil. Since these do not give very interesting i-esults, we 

 shall not consider them here. 



§44. Case in which all the surface tractions are given. 



We suppose first of all that 



zz = ZJdhr), 

 B = B.J,{l-r) 



(130) 



