Art. 7. — K. Terazawa : 





e "^coämu, 



+ !-iTiA,jr„l kr) \e"' sin m d, 



( (17) 



etc. ; 



zz 



ZT 



and corresponding to the second solution (14), 

 = U>^ + fJ.]hC,,z~[xC,,-'Zi,.l{T)\ J,Xh-)e-''smmd, 



r = -{ ^{X + /x)kC,„z-^^ C-fJtkÇBi-D,,,) ] J\„ßr) 

 + /jiJi-Ä,J',„,{lr) I e'''co6iu 0, 



(18) 



etc. 



III. Lamé and Clapeyron's Problem. 



§10. We will apply the solution obtained in the last article 

 to discuss the effect caused by a given normal pressure applied 

 locally on the boundary. Suppose as a preliniinary that a system 

 of stress of the form 



zz = \z eus m + Z^h\md\ J,„{kr^, 

 7r =0, ^ =0 



(19) 



is given at the surface z=0. Then we must have the following 

 relations between the arbitrarv constants: — 



