On the Ellipticity of the Middle Surface of a Shell and its Application to the Asymptotic Analysis of ‘Membrane’ Shells
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OpenAlex topics: Advanced Mathematical Modeling in Engineering · Advanced Numerical Methods in Computational Mathematics · Elasticity and Material Modeling
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References (9)
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1. P.G. Ciarlet, Mathematical Elasticity, Volume III: Theory of Shells. North Holland (to appear).
2. P.G. Ciarlet and V. Lods, On the ellipticity of linear membrane shell equations, J. Maths. Pures Appl. 75 (1996) 107–124.
3. P.G. Ciarlet and V. Lods, Justification of the two-dimensional membrane equations of a linearly elastic shell by an asymptotic analysis, Arch. Rational Mech. Anal. (to appear).
4. P.G. Ciarlet and V. Lods, Asymptotical analysis of linearly elastic shells: Generalized membrane shells, Journal of Elasticity 43 (1996) 147–188.10.1007/BF00042508 ↗
5. P.G. Ciarlet and E. Sanchez-Palencia, An existence and uniqueness theorem for the two-dimensional linear membrane shell equations, J. Maths. Pures Appl. 75 (1996) 51–67.
6. V. Lods and C. Mardare, Détermination de l'espace inextensionnel de coques linéairement élastiques, de surface moyenne uniformément elliptique et partiellement encastrées, C. R. Acad. Sci. Paris (to appear).
7. W. Rudin, Real and Complex Analysis. McGraw-Hill Book Company (1987).
8. S. Şlicaru, Sur l'ellipticité de la surface moyenne d'une coque, C. R. Acad. Sci. Paris 322, Série I (1996) 97–100.
9. I.N. Vekua, Generalized Analytic Functions. Addison-Wesley Publishing Company (1962).