Ferrarese, Giorgio:
Contributi alla teoria matematica delle volte
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 40 (1966), fasc. n.5, p. 819-827, (Italian)
pdf, djvu. | Zbl 0143.45701
Sunto
A simple derivation of the vectorial equilibrium equations of a shell is given, and the expression of internal virtual work, according to Kirchhoff assumptions only. Exact relations (without approximation or assumption on the thickness of the shell) are also established between the global stress measures of a shell (active and constrained) and the stress components, suitably defined.
Referenze Bibliografiche
[1]
BUDIANSKY B. e
SANDERS J. L.,
On the best first-order linear shell theory, «
Progress in Applied Mechanics»,
The Macmillan Company, New York (
1962), p. 129. |
MR 158595[3]
FINZI B. e
PASTORI M.,
Calcolo tensoriale e applicazioni, 2a ed.
Zanichelli, Bologna (
1961), Cap. IX, § 11. |
MR 28652 |
Zbl 0037.23104[4]
FLÜGGE W.,
Stresses in Shells, Cp. 2,
Springer-Verlag, Berlin, Göttingen, Heidelberg (
1960). |
Zbl 0092.41504[5]
GOLDENVEIZER A. L.,
Theory of Elastic thin shells,
Herrmann,
Pergamon Press (
1961). |
MR 135763[6]
KOITER W. T.,
A consistent first approximation in the general theory of thin elastic shells, «
Proceedings of the Symposium in the Theory of thin elastic shells, Delft, 1959»,
Koiter,
North-Holland Publishing Co., Amsterdam (
1960);
KOITER W. T.,
A Systematic Simplification of the General Equations in the Linear Theory of Thin Shells, «
Proc. Kon. Ned. Ak. Wet. Amsterdam», B
64, 612-19 (
1961). |
MR 142241 |
Zbl 0109.43003[7]
LOVE A. E. H.,
A Treatise on the Mathematical Theory of Elasticity, IV ed.,
The University Press-Cambridge (
1952), p. 530. |
MR 10851[8]
LURIE A. I.,
On the Static Geometry Analogue of Shell Theory, Problems of Continuum Mechanics,
SIAM, Philadelphia (
1961). |
MR 120879[10]
SIGNORINI A.,
Trasformazioni termoelastiche finite, Memorie I, II e III in «
Annali Matem. Pura e Appl.»,
XXII (
1943),
XXX (
1949),
XXXIX (
1955). |
fulltext (doi) |
MR 35616[11]
SYNGE J. L. e
CHIEN W. Z.,
The intrinsic theory of elastic shells and plates,
Applied Mechanics, T. V. Karman Anniversary Volume, 103-120 (
1941). |
MR 4596 |
Zbl 0060.42113[12]
TIMOSHENKO S. e
WOINOWSKY-KRIEGER S.,
Theory of Plates and Shells,
2a ed.
MacGraw-Hill, New York (
1959). |
MR 424504 |
Zbl 0114.40801[13]
TRUESDELL C. e
TOUPIN R. A.,
The Classical field Theories, «
Handbuch der Physik»,
III/1,
Springer-Verlag, Berlin-Gottingen, Heidelberg (
1960). |
MR 118005
Con il contributo del Ministero per i Beni e le Attività Culturali