Finite Element Method Coupling Penalty Method for Flexural Shell Model

DOI10.4208/aamm.OA-2020-0304zbMath1499.65681OpenAlexW4207047303MaRDI QIDQ5033438

Yongjie Xue, Xiaoqin Shen, Shengfeng Zhu, Qian Yang

Publication date: 23 February 2022

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2020-0304

zbMATH Keywords

cylindrical shellpenalty methodconforming finite element methodconical shellflexural shell

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Conforming finite element methods for two-dimensional linearly elastic shallow shell and clamped plate models ⋮ Numerical method for two-dimensional linearly elastic clamped plate model ⋮ Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model

Uses Software

• FreeFem++
• ParaView

Cites Work

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• Analytical solution of the of optimal slew problem of a spherically symmetric spacecraft in the class of conical motions
• Global dynamics and integrity of a two-dof model of a parametrically excited cylindrical shell
• The ODEs forms of linearly elastic shell model and its numerical computing
• Mechanical stability of functionally graded stiffened cylindrical shells
• Asymptotic expansions of stress tensor for linearly elastic shell
• Some differential geometric relations in the elastic shell
• The time-dependent generalized membrane shell model and its numerical computation
• The time-dependent Koiter model and its numerical computation
• Numerical approximation of the dynamic Koiter's model for the hyperbolic parabolic shell
• Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
• 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
• Mixed and Hybrid Finite Element Methods
• New development in freefem++
• Numerical simulations for the dynamics of flexural shells
• Approximate Solution of Some Plane Boundary Value Problems for Perforated Cosserat Elastic Bodies
• Multigrid Method for Poroelasticity Problem by Finite Element Method
• A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity
• Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model
• A new approximate model of nonlinearly elastic flexural shell and its numerical computation

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