...ordinary form of the equations of motion in polar coordinates. In Stokes' theory of viscosity the stresses P, Q, R, S, T, U are linear functions of the strains «, /, g, a, b, c; namely: (6) where the dilatation o = e+f+g; the three extensions are: * du e =:...

...the displacements, in the direction of the axes, of the particle originally at x, y, z. The stresses P, Q, R. S, T, U are linear functions of the strains e,f, g, a, b, c. If I, in, n be the direction cosines of the outward-drawn normal to F(x, y, z] = 0...

...ordinary form of the equations of motion in polar coordinates. In Stokes' theory of viscosity the stresses P, Q, R, S, T, U are linear functions of the strains e, f, g, a, b, c; namely: (6) S = — T=U= — (ic; where the dilatation 5 = e+/+gr; the three extensions are: e = -—,...

...art. 18, equation (19), SW = PSe + QSf+ Hog + SSa + Tob + USc _ (30), »-<£,. sJ-£ ................ Now, according to the generalised Hooke's Law, the...may be denoted by c's with double suffixes, and then cn = c^. We may adopt a symbolical notation. Writing the six strains e = a',, f =y,, g = x*, a = x,,...

...the displacements, in the direction of the axes, of the particle originally at x, y, z. The stresses P, Q, R. S, T, U are linear functions of the strains e,f, g, a, b, c. If I, in, n be the direction cosines of the outward-drawn normal to F(x, y, z) = 0...