J H Michell's publications only cover the years 1890 to 1902, except for the book he wrote with his colleague Maurice Betz after he retired. We list these publications below:

- The small deformation of curves and surfaces with applications to the vibrations of a helix and a circular ring,
*Messeng. Math.***19**(1890), 68-82. - On the exhaustion of Neumann's mode of solution for the motion of solids of revolution in liquids, and similar problems,
*Messeng. Math.***19**(1890), 83-86. - Vibrations of a string stretched on a surface,
*Messeng. Math.***19**(1890), 87-88. - On the stability of a bent and twisted wire,
*Messeng. Math.***19**(1890), 181-18 - On the theory of free stream lines,
*Phil. Trans. Roy. Soc. A.***181**(1890), 389-431. - On a property of algebraic curves,
*Australasian Assoc. Adv. Sci. Report*(1892), 257. - On the bulging of flat plates,
*Australasian Assoc. Adv. Sci. Report*(1892), 258. - The highest waves in water,
*Phil. Mag.*(5)**36**(1893), 430-437. - A map of the complex Z-function: a condenser problem,
*Messeng. Math.***23**(1894), 72-78. - The wave resistance of a ship,
*Phil. Mag.*(5)**45**(1898), 106-123. - On the direct determination of stress in an elastic solid, with application to the theory of plates,
*Proc. London Math. Soc.***31**(1899), 100-124. - The stress in a rotating lamina,
*Proc. London Math. Soc.***31**(1899), 124-130. - The uniform torsion and flexure of incomplete tores, with application to helical springs,
*Proc. London Math. Soc.***31**(1899), 130-146. - The transmission of stress across a plane of discontinuity in an isotropic elastic solid, and the potential solutions for a plane boundary,
*Proc. London Math. Soc.***31**(1899), 183-192. - Some elementary distributions of stress in three dimensions,
*Proc. London Math. Soc.***32**(1900), 23-35. - Elementary distributions of plane stress,
*Proc. London Math. Soc.***32**(1900), 35-61. - The stress in an aeolotropic elastic solid with an infinite plane boundary,
*Proc. London Math. Soc.***32**(1900), 247-258. - The stress in the web of a plate girder,
*Quart. J. Pure Appl. Math.***31**(1900), 377-382. - The theory of uniformly loaded beams,
*Quart. J. Pure Appl. Math.***32**(1900), 28-42. - The determination of the stress in an isotropic elastic sphere by means of intrinsic equations,
*Messeng. Math. (n.s.)***350**(1900), 16-25. - The uniplanar stability of a rigid body,
*Messeng. Math. (n.s.)***351**(1900), 35-40. - The inversion of plane stress,
*Proc. London Math. Soc.***34**(1902), 134-142. - The flexure of a circular plate,
*Proc. London Math. Soc.***34**(1902), 223-228. - (with Maurice H Belz)
*The elements of mathematical analysis*(2 volumes) (Macmillan, 1937).