John Henry Michell (Maldon, Victoria, 26 de outubro de 1863 — Camberwell, Victoria, 3 de fevereiro de 1940) foi um matemático australiano. Foi professor de matemática na Universidade de Melbourne.[1]
Filho do mineiro John Michell e de Grace Rowse Michell. Irmão de Anthony Michell. Estudou matemática na Universidade de Cambridge, e depois no Trinity College, formando-se em 1888.
Na teoria da elasticidade seu nome está associado às equações de Beltrami-Michell.
Publicações
- 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) 181-184.
- On the theory of free stream lines, Phil. Trans. 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. Lond. Math. Soc. 31 (1899) 100-124.
- The stress in a rotating lamina, Proc. Lond. Math. Soc. 31 (1899) 124-130.
- The uniform torsion and flexure of incomplete tores, with application to helical springs, Proc. Lond. 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. Lond. Math. Soc. 31 (1899) 183-192.
- Some elementary distributions of stress in three dimensions, Proc. Lond. Math. Soc. 32 (1900) 23-35.
- Elementary distributions of plane stress, Proc. Lond. Math. Soc. 32 (1900) 35-61.
- The stress in an aeolotropic elastic solid with an infinite plane boundary, Proc. Lond. 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. Lond. Math. Soc. 34 (1902) 134-142.
- The flexure of a circular plate, Proc. Lond. Math. Soc. 34 (1902) 223-228.
- (com M.H. Belz) The elements of mathematical analysis (2 vols) Macmillan 1937.
Referências