Abstract
We shall now proceed to a theoretical study in which we shall emphasize geometrical aspects of the problems; these problems will be dealt for a fixed t or taking into account the time too [7].
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A. Books
Borchardt, C.W.: Gesammelte Werhe. Georg Reimer, Berlin (1888)
Cesàro, E.: Introduzione alla teoria matematica della elasticità. Fr. Bocca Ed., Torino (1894)
Clebsch, A.: Théorie de l’élasticité des corps solides (traduite par MM. Barré de Saint-Venant et Flamant avec des notes étendues de M. de Saint-Venant), Paris (1883)
Krőner, E.: Kontinuumsteorie der Versetzungen und Eigenspannungen (Ergebn. der Angew. Math.). Springer, Berlin (1958)
Lamé, G.: Leçons sur les coordonnées curvilignes. Mallet-Bachelier, Paris (1859)
Sudria, J.: L’action euclidienne de déformation et de mouvement (Mém. des Sci. Phys.), vol. XXIX. Gauther-Villars, Paris (1935)
Teodorescu, P.P.: Probleme spaţiale in teoria elasticităţii (Space Problems in the Theory of Elasticity). Ed. Academiei, Bucureşti (1970)
Truesdell, C., Noll, W.: The non-linear field theories of mechanics. In: Flügge, S. (ed.) Encyclopedia of Physics, vol. III/3. Springer, Berlin (1965)
Truesdell, C., Toupin, R.A.: The classical field theories. In: Flügge, S. (ed.) Encyclopedia of Physics, vol. III/1. Springer, Berlin (1960)
Wang, C.C., Truesdell, C.: Introduction to Rational Elasticity. Noordhoff International Publication, Leyden (1973)
B. Papers
Beltrami, E.: Sur la théorie de la déformation infiniment petite d’un milieu. C. Rend. hebd. de séance de l’Acad. Sci. 108, 502 (1889)
Golitsyn, B.: Űber die Dispersion und Dämpfung der seismischen Oberflächwellen. Bull. de l’Acad. Imp. des Sci. de Saint-Petersburg, ser. 6, 219 (1912)
Galletto, D.: Sull’unicità in presenza di vincoli interni di una condizione cinematica fondamentale nella teoria delle deformazioni finite. Atti dell’Ist. Veneto di Sci. Lett. e Arti, Cl. di Sci. Mat. e Nat. 123, 197 (1965)
Lamé, G.: Mémoire sur les coordonnées curvilignes. J. de Math. Pures et Appl. 5, 313 (1840)
Noll, W.: A mathematical theory of mechanical behaviour of continuous media. Arch. Rat. Mech. Anal. 2, 195 (1958)
Truesdell, C.: The mechanical foundations of elasticity and fluid dynamics. J. Rat. Mech. Anal. 1, 125 (1952)
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Teodorescu, P.P. (2013). Geometry and Kinematics of Deformation. In: Treatise on Classical Elasticity. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2616-1_2
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