Incompressibility in rod and shell theories
ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 2, pp. 289-304. 
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     author = {Antman, Stuart S. and Schuricht, Friedemann},
     title = {Incompressibility in rod and shell theories},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {289--304},
     publisher = {EDP-Sciences},
     volume = {33},
     number = {2},
     year = {1999},
     mrnumber = {1700036},
     zbl = {0955.74041},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1999__33_2_289_0/}
}
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Antman, Stuart S.; Schuricht, Friedemann. Incompressibility in rod and shell theories. ESAIM: Modélisation mathématique et analyse numérique, Tome 33 (1999) no. 2, pp. 289-304. http://www.numdam.org/item/M2AN_1999__33_2_289_0/

[1] S.S. Antman, Nonlinear Problems of Elasticity. Springer-Verlag (1995). | MR | Zbl

[2] S.S. Antman, Convergence properties of hiérarchies of dynamical theories of rods and shells. Z. Angew. Math. Phys. 48 (1997) 874-884. | MR | Zbl

[3] S.S. Antman and R.S. Marlow, Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories. Arch. Rational Mech. Anal. 116 (1991) 257-299. | MR | Zbl

[4] P.G. Ciarlet, Mathematical Elasticity, Volume II: Theory of Plates. North-Holland (1997). | MR | Zbl

[5] P.G. Ciarlet, Mathematical Elastictty, Volume III: Theory of Shells. North-Holland (1999). | MR

[6] V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations. Springer-Verlag (1986). | MR | Zbl

[7] P. Le Tallec, Numerical methods for solids in Handbook of Numerical Analysis, P.G. Ciarlet and J.-L. Lions Eds. North-Holland (1994) 465-622. | MR | Zbl

[8] R. Saxton, Existence of solutions for a finite nonlinearly hyperelastic rod. J. Math Anal Appl. 105 (1985) 59-75. | MR | Zbl

[9] C. Schwab and S. Wright, Boundary layers of hierarchical beam and plate models. J. Elasticity 38 (1995) 1-40. | MR | Zbl

[10] L. Trabucho and J. M. Viano, Mathematical Modelling of Rods, in Handbook of Numerical Analysis, P.G. Ciarlet and J.-L. Lions Eds. North-Holland 4 (1996) 487-974. | MR | Zbl

[11] R. Temam, Navier-Stokes Equations. North-Holland (1977). | MR | Zbl

[12] T. Wright, Nonlinear waves in rods : results for incompressible elastic materials. Stud. Appl. Math. 72 (1984) 149-160. | MR | Zbl