Finite deformation of thin shells in the context of analytical mechanics of material surfaces

DOI10.1007/s00707-009-0154-7zbMath1381.74140OpenAlexW1990057108MaRDI QIDQ846074

Vladimir V. Eliseev, Yu. M. Vetyukov

Publication date: 1 February 2010

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-009-0154-7

Mathematics Subject Classification ID

Shells (74K25)

Related Items (13)

The theory of thin-walled rods of open profile as a result of asymptotic splitting in the problem of deformation of a noncircular cylindrical shell ⋮ Hybrid asymptotic-direct approach to the problem of finite vibrations of a curved layered strip ⋮ C¹-continuous FEM for Kirchhoff plates and large deformation ⋮ Divergence of a helicoidal shell in a pipe with a flowing fluid ⋮ Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates ⋮ Nonlinear model of an axially moving plate in a mixed Eulerian-Lagrangian framework ⋮ A triangular shell element for geometrically nonlinear analysis ⋮ A Non-linear Theory of Thin-Walled Rods of Open Profile Deduced with Incremental Shell Equations ⋮ Hybrid asymptotic-direct approach to finite deformations of electromechanically coupled piezoelectric shells ⋮ Finite element modeling of Kirchhoff‐Love shells as smooth material surfaces ⋮ A complete direct approach to nonlinear modeling of dielectric elastomer plates ⋮ Geometrically exact shell theory from a hierarchical perspective ⋮ Stability of corrugated expansion bellows: shell and rod models

Cites Work

• Variational principles of continuum mechanics. II: Applications
• Direct approach to elastic deformations and stability of thin-walled rods of open profile
• A consient shell theory for finite deformations
• Les equations de von Kármán
• Generalization of plate finite elements for absolute nodal coordinate formulation
• The influence of the reference geometry on the response of elastic shells
• Determination of the midsurface of a deformed shell from prescribed fields of surface strains and bendings
• Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
• Nonlinear problems of elasticity
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