An obstacle problem for elliptic membrane shells
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Publication:3304273
DOI10.1177/1081286518800164zbMath1440.74205OpenAlexW2902360690MaRDI QIDQ3304273
Christinel Mardare, Paolo Piersanti, Philippe G. Ciarlet
Publication date: 5 August 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286518800164
Variational inequalities (49J40) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)
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Cites Work
- A confinement problem for a linearly elastic Koiter's shell
- Functional analysis, Sobolev spaces and partial differential equations
- A linearly elastic shell over an obstacle: the flexural case
- An existence and uniqueness theorem for the two-dimensional linear membrane shell equations
- On the ellipticity of linear membrane shell equations
- A confinement problem for a linearly elastic membrane shell of elliptic type
- Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
- Mathematical justification of the obstacle problem in the case of a shallow shell
- Absolute continuity on tracks and mappings of Sobolev spaces
- Mathematical justification of the obstacle problem for elastic elliptic membrane shells
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