Variational finite difference methods in linear and nonlinear problems of the deformation of metallic and composite shells (review)

DOI10.1007/s10778-012-0544-8zbMath1295.74103OpenAlexW2068111556MaRDI QIDQ741077

I. S. Chernyshenko, E. A. Storozhuk, V. A. Maksimyuk

Publication date: 10 September 2014

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-012-0544-8

zbMATH Keywords

Lagrange multiplierscomplex geometryTimoshenko hypotheseselastoplastic statefinite difference energy methodKirchhoff-Love hypothesesnonlinear elastic compositescalar and vector approachesthin and non-thin shells and platesvariational finite-difference methods

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Shells (74K25) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (5)

Implicit hybrid grid-characteristic method for modeling dynamic processes in acoustic medium ⋮ Chaotic dynamics of two coaxially-nested cylindrical shells reinforced by two beams ⋮ Modeling the deformation of orthotropic toroidal shells with elliptical cross-section based on mixed functionals ⋮ Applying discrete Fourier series to solve problems of the stress state of hollow noncircular cylinders ⋮ Three-dimensional analysis of the lower frequencies of a cantilevered anisotropic parallelepiped

Uses Software

• FDEM

Cites Work

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