The stresses and strains in isotropic elastic solid ellipsoids in equilibrium under bodily forces derivable from a potential of the second degree

§ 1. Let the isotropic elastic solid ellipsoid,a -2 x 2 +b -2 y 2 +c -2 z 2 = 1 . . . (1), of uniform densityρ , be acted on by bodily forces whose components Px , Qy , Rz are derivable from a potential V = ½ (Px 2 + Qy 2 + Rz 2 ) . . . (2).