Abstract
SAINT-VENANT, in 1847, first introduced 'flnite strains' expressions non-linear in displacement gradients1 with the co-ordinates of the current point in the undeformed body. Filon, in 1931, introduced the analogous non-linear expressions but with the co-ordinates of the point referring to its actual position after deformation2. Pearson, in 1886 1, pointed out that Saint-Venant really treated only small strains, while Filon stated that his own 'finite strain' expressions could be interpreted as physical strains only when strains were small2.
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References
Todhunter, I., and Pearson, K., "A History of Elasticity and Strength of Materials" (Cambridge Univ. Press, vol. 1, 1986).
Coker, E. G., and Filon, L. N. G., "Photo-Elasticity" (Cambridge Univ. Press, 1931).
Weatherburn, C. E., "Advanced Vector Analysls" (G. Bell and Sons, 1937).
Swainger, K. H., Nature, 160, 399 (1947).
Swainger, K. H., Phil. Mag., 38, 422 (1947).
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SWAINGER, K. Saint-Venant' and Filon' Finite Strains : Definitions Non-Linear in Displacement Gradients. Nature 164, 23–24 (1949). https://doi.org/10.1038/164023a0
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DOI: https://doi.org/10.1038/164023a0
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