Mathematical justification of the obstacle problem for elastic elliptic membrane shells

DOI10.1080/00036811.2017.1337894zbMath1390.74132OpenAlexW2624103755WikidataQ58254781 ScholiaQ58254781MaRDI QIDQ4567867

Á. D. Rodríguez-Arós

Publication date: 20 June 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1337894

zbMATH Keywords

elasticityshellscontactasymptotic analysisrigid foundationSignorinielliptic membrane

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Shells (74K25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (17)

Viscoelastic elliptic membrane shells on bilateral frictional contact: An asymptotic approach ⋮ Modelling of frictionless Signorini problem for a linear elastic membrane shell ⋮ Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method ⋮ 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 ⋮ On the justification of viscoelastic flexural shell equations ⋮ An obstacle problem for Koiter’s shells ⋮ On the justification of Koiter's equations for viscoelastic shells ⋮ An obstacle problem for elliptic membrane shells ⋮ Asymptotic analysis of linearly elastic shells in normal compliance contact: convergence for the elliptic membrane case ⋮ A confinement problem for a linearly elastic membrane shell of elliptic type ⋮ Asymptotic analysis of elliptic membrane shells in thermoelastodynamics ⋮ 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 ⋮ Asymptotic analysis of unilateral contact problems for linearly elastic shells: error estimates in the membrane case ⋮ 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

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