An obstacle problem for Koiter’s shells

DOI10.1177/1081286519825979OpenAlexW2910626044WikidataQ128302854 ScholiaQ128302854MaRDI QIDQ5132391

Paolo Piersanti, Philippe G. Ciarlet

Publication date: 12 November 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286519825979

zbMATH Keywords

obstacle problemsasymptotic analysisKoiter's modellinearly elastic shells

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items

A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case ⋮ Modelling of frictionless Signorini problem for a linear elastic membrane shell ⋮ Modelling virus contact mechanics under atomic force imaging conditions ⋮ Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method ⋮ On the finite element approximation of the obstacle problem of a Naghdi shell ⋮ Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction ⋮ Numerical methods for static shallow shells lying over an obstacle ⋮ An existence and uniqueness theorem for the dynamics of flexural shells ⋮ Numerical simulations for the dynamics of flexural shells ⋮ A confinement problem for a linearly elastic Koiter's shell ⋮ A time-dependent obstacle problem in linearised elasticity ⋮ On the justification of the frictionless time-dependent Koiter's model for thermoelastic shells ⋮ On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle ⋮ On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle ⋮ Asymptotic analysis of linearly elastic elliptic membrane shells subjected to an obstacle

Cites Work

• A classification of thin shell theories
• Erratum to: Mathematical justification of the obstacle problem in the case of a shallow shell
• Functional analysis, Sobolev spaces and partial differential equations
• Existence theorems for two-dimensional linear shell theories
• Asymptotic analysis of linearly elastic shells: `Generalized membrane shells'
• 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
• Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations
• Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
• An obstacle problem for elliptic membrane shells
• Mathematical justification of the obstacle problem for elastic elliptic membrane shells
• A NEW KIND OF SINGULAR STIFF PROBLEMS AND APPLICATION TO THIN ELASTIC SHELLS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item