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



where L = ^ [Pa 2 {r, (b~+c z ) n u + O 2 -a 2 ) H 12 + (>/& 2 -a 2 ) O 13 } 



2 -6 2 ) n )2 } 



while M and N are got from. L by replacing the first suffix in the D's 

 by 2 and by 3 respectively. 



Denoting the displacements by , /3, 7, types of the 6 strains are 



= ^ = *, 



_ 



THJ rz 3- + -7- = - ^ - 

 dz ay 



where E is Young's modulus, r/ Poisson's ratio. 

 A type of the three displacements is 



-1- N + 3L) 



}] ... (7). 



The other strains and displacements can be written down from 

 symmetry. 



For the elastic increment ca, in a principal semi-axis a, we have 



