Betti's reciprocal theorem for Cosserat elastic shells
- Volume: 2, Issue: 1, page 91-94
- ISSN: 1120-6330
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topPastrone, Franco. "Betti's reciprocal theorem for Cosserat elastic shells." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.1 (1991): 91-94. <http://eudml.org/doc/244218>.
@article{Pastrone1991,
abstract = {It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.},
author = {Pastrone, Franco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Reciprocity; Elasticity; Cosserat shells; three-dimensional elasticity; Betti's theorem; stored-energy function},
language = {eng},
month = {3},
number = {1},
pages = {91-94},
publisher = {Accademia Nazionale dei Lincei},
title = {Betti's reciprocal theorem for Cosserat elastic shells},
url = {http://eudml.org/doc/244218},
volume = {2},
year = {1991},
}
TY - JOUR
AU - Pastrone, Franco
TI - Betti's reciprocal theorem for Cosserat elastic shells
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/3//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 1
SP - 91
EP - 94
AB - It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.
LA - eng
KW - Reciprocity; Elasticity; Cosserat shells; three-dimensional elasticity; Betti's theorem; stored-energy function
UR - http://eudml.org/doc/244218
ER -
References
top- NAGHDI, P. M., Foundations of elastic shell theory. Progress in Solid Mechanics, 4, 1963, 1-90. MR163488
- NAGHDI, P. M., The theory of plates and shells. In: S. FLÜGGE (ed.), Encyclopedia of Physics, vol. VI a/2, 1972, 425-640.
- NAGHDI, P. M., Finite deformations of elastic rods and shells. In: D. E. CARLSON - R. T. SHIELD (eds.), Proc. of IUTAM Symp. on Finite Elasticity, 1980, 47-107. Zbl0523.73033
- NAGHDI, P. M. - TRAPP, T. A., A uniqueness theorem in the theory of Cosserat surfaces. J. of El., vol. 2, n. 1, 1972.
- TRUESDELL, C., The meaning of Betti's reciprocal theorem. J. of Research of N.B.S., 67B, 1963, 85-86. Zbl0109.17001MR159456
- VOLTERRA, V., Theory of functional and of integral and integro-differential equations. Dover Publ. Inc., 1959. Zbl0086.10402MR100765
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