Justification of the dynamic model of curved rods

Asymptotic Analysis

Volumn 31, Issue 1, 2002, Pages 43-68

  Tambača, Josip ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Asymptotic analysis; Curved rod model; Evolution equation; Linearized elasticity

Indexed keywords

EID: 0036660721     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. S.S. Antman, Nonlinear Problems of Elasticity, Springer, 1995.
2. P.G. Ciarlet, V. Lods and B. Miara, Asymptotic analysis of linearly elastic shells. II. Justification of flexural shell equations, Arch. Rational Mech. Anal 136(2) (1996), 163-190.
3. R. Dautray and J.-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 5, Evolution Problems I, Springer, 1992.
4. J. Diestel and J.J. Uhl Jr., Vector Measures, Mathematical Surveys, Vol. 15, Amer. Math. Soc., 1977.
5. V. Giarult and P. Raviart. Finite Element Methods for Navier-Stokes Equations, Springer, 1986.
6. M. Jurak and J. Tambača, Derivation and justification of a curved rod model, Math. Models Methods Appl. Sci. 9(7) (1999), 991-1014.
7. M. Jurak and J. Tambača, Linear curved rod model. General curve. Math. Models Methods Appl. Sci. 11(7) (2001), 1237-1252.
8. X. Li-ming, Asymptotic analysis of dynamic problems for linearly elastic shells - justification of equations for dynamic membrane shells. Asymptotic Anal. 17 (1998), 121-134.
9. A. Raoult, Construction d'un modèle d'évolution de plaques avec terme d'inerte de rotation, Ann. Mat. Pura Appl. (4) 139 (1985), 361-400.
10. J. Sanchez-Hubert and É. Sanchez-Palencia, Statics of curved rods on account of torsion and flexion, European J. Mech. A Solids 18 (1999), 365-390.
11. J. Tambača, One-dimensional models in theory of elasticity, Master's thesis, Department of Mathematics, University of Zagreb, 1999 (in Croatian).