Abstract
The notion of a tensor appears not only in kinematics, but also in statics, and the term was intentionally used several times in previous chapters of the book (see also [1, 2]).
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Notes
- 1.
Augustin L. Cauchy (1789–1857), French mathematician of genius, his collected works were published in 27 volumes.
- 2.
Subsequently we also denote by S a symmetric tensor, but these notions are made distinct in the text.
- 3.
Carl F. Gauss (1777–1855), German mathematician who studied number theory, analysis, statistics, differential geometry, astronomy, and optics.
- 4.
Michail W. Ostrogradski (1801–1862), Ukrainian mathematician who studied algebra, number theory, analysis, and probability calculus.
- 5.
Hermann Helmholtz (1821–1894), a German physicist and mathematician who studied acoustics and thermodynamics.
- 6.
Gabriel Lamé (1795–1870), French mathematician.
- 7.
Thomas Young (1733–1829), English mathematician and mechanician who also studied medicine and physiology.
- 8.
Simeon D. Poisson (1781–1840), French mathematician and physicist.
- 9.
Robert Hooke (1635–1702) formulated this law in 1676; on the basis of experimental research he observed that the deformation caused by a load is proportional to that load.
- 10.
Benoit Clapeyron (1799–1864), French mathematician and physicist, founder of modern thermodynamics.
- 11.
Enrico Betti (1823–1892), Italian mathematician.
- 12.
Carlo A. Castigliano (1847–1884), Italian engineer who completed his studies in Turin; the theorem formulated in his diploma thesis was later named after him.
References
A.J. McConnel, Applications of Tensor Analysis (Dover, New York, 1957)
E. Nelson, Tensor Analysis (Princeton University Press, NJ, 1967)
W. Jaunzemis, Continuum Mechanics (Macmillan, New York, 1967)
O.C. Leigh, Nonlinear Continuum Mechanics (McGraw-Hill, New York, 1968)
L.E. Malvern, Introduction to the Mechanics of a Continuous Medium (Prentice-Hall, NJ, 1969)
P. Chadwick, Continuum Mechanics (George Allen and Unwin, London, 1976)
A.J. Spencer, Continuum Mechanics (Longman, London, 1980)
M.E. Gurtin, An Introduction to Continuum Mechanics (Academic, New York, 1981)
Z. Osinski, General Mechanics (PWN, Warsaw, 1994), in Polish
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Awrejcewicz, J. (2012). Kinematics of a Deformable Body. In: Classical Mechanics. Advances in Mechanics and Mathematics, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3791-8_6
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