14 



Art. 7. — K. Terazawa 



Ur = 





n 



and 



u. 





66 = 



zz 





^JL\ 



: + 



/. + 2/^ 



^^\' 



77 



77 



n f 3.rr- _ /^ r 1 _ ^ "] I 



// / ,-(2r + ^^) ._ 1 I 



77 



3^^ 



77 3zh' 



76 = 0, 6z = 0. 



At the surface (^=0) tbey I'educe simply to 



n 1 



("Jo = 



47r(i^ + //) ?• 



77(yl + 2//) _1_ 

 47r/i(>^ + fj.) r 



,.-^ 77// 1 



( ^n, = 



77// 



'2-(;. + ^«) r- 



(34) 



(35) 



(36) 



(37) 



{zz\= 0. 



§14. It is interesting to show by graj^li the state of 

 deformation at different depths from the surface. For the sake of 

 simplicity we assume that the material satisfies the Poisson' s 

 relation ^=[J; and wu take only one component of the displace- 

 ment vz for reference, which is now written in the simple form 



47r/. l(r^ + /-/.3 2 (i^ + rf- i 

 The attached diagram is di'awn on the supposition that Il=4.-p 



1) The integrations have been carried out by Lamb, and so it is unnecessary to recapitu- 

 late them here. 



