Access the full text.
Sign up today, get DeepDyve free for 14 days.
C. Somigliana (1889)
Sulle equazioni della elasticitàAnnali di Matematica Pura ed Applicata (1867-1897), 17
E. Cesàro (1906)
Sulle formole del volterra fondamentali nella teoria delle distorsioni elasticheIl Nuovo Cimento (1901-1910), 12
E. Betti (1863)
Teorica delle forze che agiscono secondo la legge diNewton, e sua applicazione alla elettricita’ staticaIl Nuovo Cimento (1855-1868), 20
E. Beltrami (1880)
Intorno ad alcuni nuovi teoremi del sig. G. Neumann sulle funzioni potenzialiAnnali di Matematica Pura ed Applicata (1867-1897), 10
E. Betti (1867)
Teoria della capillarita'Il Nuovo Cimento (1855-1868), 25
Gabrio Piola (1971)
Sull' applicazione de' principj della meccanica analitica del Lagrange ai principali problemi ...
E. Beltrami (1889)
Note fisico-matematicheRendiconti del Circolo Matematico di Palermo (1884-1940), 3
V. Volterra
Sur l'équilibre des corps élastiques multiplement connexesAnnales Scientifiques De L Ecole Normale Superieure, 24
G. Lamé
Leçons sur les coordonnées curvilignes et leurs diverses applications
Pierre Crépel (2009)
Rinascita di una scienza. Matematica e matematici in Italia (1715-1814)
D. Capecchi, G. Ruta (2007)
Piola’s contribution to continuum mechanicsArchive for History of Exact Sciences, 61
E. Cesàro, B. Calò (1895)
Introduzione alla teoria matematica della elasticitaIl Nuovo Cimento (1895-1900), 2
E. Betti
Teoria della elasticitaIl Nuovo Cimento (1869-1876), 7-8
G. Lauricella
Equilibrio dei corpi elastici isotropiAnnali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 7
E. Beltrami (1885)
Sulle condizioni di resistenza dei corpi elasticiIl Nuovo Cimento (1877-1894), 18
Francesco dell’Isola, Ugo Andreaus, Luca Placidi, Daria Scerrato (2014)
Intorno alle equazioni fondamentali del movimento di corpi qualsivogliono, considerati secondo la naturale loro forma e costituzione, 38
A. Cauchy (2009)
Sur les relations qui existent, dans l'état d'équilibre d'un corps solide ou fluide, entre les pressions ou tensions et les forces accélératrices
Giuseppe Lauricella (1909)
Sur l'intégration de l'équation relative à l'équilibre des plaques élastiques encastréesActa Mathematica, 32
J. Lagrange (1967)
Théorie des fonctions analytiques
M. Poisson
Mémoire sur l'équilibre et le mouvement des corps élastiques
Francesco dell’Isola, Ugo Andreaus, A. Cazzani, U. Perego, Luca Placidi, Giuseppe Ruta, Daria Scerrato (2014)
Di un principio controverso della meccanica analitica di lagrange e delle molteplici sue applicazioni, 38
V. Cerruti, Reale Lincei
Ricerche intorno all'equilibrio de' corpi elastici isotropi isotropi : memoria del prof. Valentino Cerruti
S. Lacroix
Traité du calcul différentiel et du calcul intégral
[In the second half of the nineteenth century there was in Italy an important group of mathematicians who focused their attention on mathematical physics. The most prominent of them were Enrico Betti, Eugenio Beltrami, Gregorio Ricci–Curbastro and some others (Vito Volterra, Carlo Somigliana and Tullio Levi Civita) whose activity persevered for many years in the twentieth century. In this article, I will write about the contribution of this group to the theory of elasticity. The best representative writing on continuum mechanics and elasticity as theories of mathematical physics is presented in the book Teoria della elasticità by Enrico Betti. The book is interesting not only for the particular results found but also for its structure which became paradigmatic for the development of subsequent texts on elasticity, not only those in Italian. Betti’s interest was concentrated on the mathematical aspects of a physical theory. Physical principles are not discussed; they are only exposed in the most formal way possible. The objective is to arrive, without discussing epistemological or empirical problems, at the formulation and solution of differential equations that rule elasticity, as had become classic in the emerging mathematical physics. Beltrami wrote no complete books on elasticity; however, his contribution to this field was perhaps more original than that of Betti. A similar consideration holds true for Volterra and Somigliana.]
Published: Sep 4, 2012
Keywords: Mathematical Physic; Internal Force; Virtual Work; Deformable Body; Virtual Displacement
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.