48 Mr. C. Chree. Isotropic Elastic Solid Ellipsoids under 



K 



(36), 



The displacements and dilatation are 



Strictly, srz, 2;r, <r^ r and 7, being of the order of terms omitted in 



rr, s r , &c., should be neglected ; but the record of their first approxi- 

 mations may prove useful. 



rr, 00 and zz are pressures at every interior point ; s<j, is every- 

 where a compression, and s z an extension, while s r is a compression 

 inside and an extension outside the cylinder 



(38). 



The displacement u is everywhere towards the axis of the spheroid, 

 and 7 away from the central plane, z = 0. Every element is reduced 

 in volume. 



Flat Ellipsoid Rotating about the Short Axis 2c. 



8. Here 



P = Q = u> 2 , R = 0. 



Putting for shortness 



we find 



