Intrinsic models of piezoelectric shells

European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000

Volumn , Issue , 2000, Pages

  Bernadou, Michel ^a,b   Delfour, Michel C ^c  

^a PÔLE UNIVERSITAIRE LÉONARD DE VINCI   (France)

^b INRIA ROCQUENCOURT   (France)

^c UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Asymptotic models; Intrinsic methods; Koiter; Modeling; Naghdi; Piezoelectric shells

Indexed keywords

ASYMPTOTIC MODEL; INTRINSIC METHODS; KOITER; NAGHDI; PIEZOELECTRIC SHELLS;

COMPUTATIONAL METHODS; MODELS; PIEZOELECTRICITY; POLYNOMIAL APPROXIMATION; THREE DIMENSIONAL;

SHELLS (STRUCTURES);

EID: 84893430665     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. M.Bernadou, Ḿethodes d'́eĺements finis pour les probl̀emes de coques minces, Masson, Paris, Milan, Barcelone, 1994.
2. M.Bernadou, Ph.G. Ciarlet, and B. Miara, Existence theorems for twodimensional linear shell theories, J. E lasticity 34 (1994), 111-138.
3. B.Budiansky and J.L. Sanders, On the best first-order linear shell theory, Progr. in Appl.Mec h.(W.Prager Anniversary Volume), pp.129-140, Macmillan, New York 1967.
4. M.C. Delfour, Intrinsic Differential Geometric Methods in the Asymptotic Analysis of Linear Thin Shells, in Boundaries, interfaces and transitions, M.D elfour, ed., pp.19-90, CRM Proc.Le cture Notes, vol.13, AMS Publ., Providence, R.I.1998.
5. M.C. Delfour, Intrinsic P(2, 1) thin shell model and Naghdi's models without a priori assumption on the stress tensor, in Proc International Conference on Optimal Control of Partial Differential Equations, K.H.Hoffmann, G.Leugering, F.T r̈oltzsch, eds., pp.99-113, Int.Se r. of Numerical Mathematics, Vol.133, Birkḧauser Verlag, Basel 1999.
6. M.C. Delfour, Membrane shell equation: characterization of the space of solutions, in Control of Distributed Parameter and Stochastic Systems, Shuping Chen, Xunjing Li, Jiongmin Yong, Xun Yu Zhou, eds., pp 21-29, Chapman and Hall, 1999.
7. M.C. Delfour, Characterization of the space of solutions of the membrane shell equation for arbitrary C1, 1 midsurfaces, Control and Cybernetics 4 (1999).
8. M.C. Delfour, Tangential differential calculus and functional analysis on a C1, 1 submanifold, in Differential-geometric methods in the control of partial differential equations, R.G ulliver, W.Littman and R. Triggiani, eds., Contemporary Mathematics, AMS Publications, to apppear.
9. M.C. Delfour and J.-P. Zoĺesio, Differential equations for linear shells: comparison between intrinsic and classical models, Advances in Mathematical Sciences-CRM's 25 years (Luc Vinet, ed.), CRM Proc. Lecture Notes, Amer.Ma th.So c., Providence, RI, 1997, pp.42-124.
10. T.Ikeda, Fundamental of piezoelectricity, Oxford Univ.Press, Oxford, 1990.
11. W.T. Koiter, On the nonlinear theory of thin elastic shells, in Proc.Kon.Nederl. Akad.Wetensch. B59 (1966), 1-54.
12. W.T. Koiter, On the nonlinear theory of thin elastic shells, in Proc.Kon.Nederl. Akad.W etensch. B73 (1970), 169-195.
13. J.L. Sanders, An improved first approximation theory of thin shells, NASA Report 24, 1959.
14. H.S. Tzou, Piezoelectric shells: Distributed sensing and control of continua, Kluwer Academic publishers, Dordrecht, The Netherlands, 1993.