Characterization of the membrane theory of a clamped shell. The hyperbolic case

Mathematical Models and Methods in Applied Sciences

Volumn 6, Issue 2, 1996, Pages 169-194

  Piila, Jyrki ^a  

^a KARELIA UNIVERSITY OF APPLIED SCIENCES   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030556099     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202596000535     Document Type: Article

References (9)

1. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, 1962), Vol. II.
2. W. T. Koiter, On the foundations of the linear theory of thin shells, Proc. Kon. Ned. Ak. Wet. B73 (1970) 169-195.
3. V. V. Novozhilov, The Theory of Thin Shells, translated by P. G. Lowe, ed. J. R. M. Radoc (Noordhoff-Groningen, 1959).
4. J. Piila, Characterization of the membrane theory of a clamped shell. The elliptic case, Math. Models Methods Appl. Sci. 4 (1994) 147-177.
5. J. Piila and J. Pitkäranta, Characterization of the membrane theory of a clamped shell. The parabolic case, Math. Models Methods Appl. Sci. 3 (1993) 417-442.
6. J. Piila and J. Pitkäranta, Energy estimates relating different elastic models of a thin cylindrical shell. I. The membrane dominated case, SIAM J. Math. Anal. 24 (1993) 1-22.
7. J. Piila and J. Pitkäranta, Energy estimates relating different elastic models of a thin cylindrical shell. II. The case of free boundary, SIAM J. Math. Anal. 26 (1995) 820-849.
8. J. L. Sanders, An improved first approximation theory of thin shells, NASA Report, 24(1959).
9. M. Schechter, Modern Methods in Partial Differential Equations. An Introduction (McGraw-Hill, 1977).