Finite deformation higher-order shell models and rigid-body motions

DOI10.1016/j.ijsolstr.2008.01.020zbMath1169.74477OpenAlexW1986162070MaRDI QIDQ837299

N. E. Zubov

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.01.020

zbMATH Keywords

Lagrange polynomialsfinite deformationhigher-order shell theoryinterpolation surfacesrigid-body motion

Mathematics Subject Classification ID

Shells (74K25)

Related Items (10)

Non-linear exact geometry 12-node solid-shell element with three translational degrees of freedom per node ⋮ Sampling surfaces formulation for thermoelastic analysis of laminated functionally graded shells ⋮ Refined shell model for the linear analysis of isotropic and composite elastic structures ⋮ Three-dimensional thermal stress analysis of laminated composite plates with general layups by a sampling surfaces method ⋮ Hybrid-mixed ANS finite elements for stress analysis of laminated composite structures: sampling surfaces plate formulation ⋮ A stress approach model of functionally graded shells ⋮ A global-local discontinuous Galerkin shell finite element for small-deformation analysis of multi-layered composites ⋮ A family of ANS four-node exact geometry shell elements in general convected curvilinear coordinates ⋮ Three-Dimensional Exact Analysis of Functionally Graded Laminated Composite Plates ⋮ A stabilized co-rotational curved quadrilateral composite shell element

Cites Work

• Theories and finite elements for multilayered anisotropic, composite plates and shells.
• Nonlinear shell models with seven kinematic parameters
• Nonlinear strain--displacement equations exactly representing large rigid-body motions. I: Timoshenko--Mindlin shell theory
• On `best' shell models -- from classical shells, degenerated and multi-layered concepts to 3D
• Composite laminates: Nonlinear interlaminar stress analysis by multi-layer shell elements
• A new shell element accounting for through-thickness deformation
• A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
• Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking
• Families of 4-node and 9-node finite elements for a finite deformation shell theory. An assessment of hybrid stress, hybrid strain and enhanced strain elements
• Nonlinear strain-displacement equations exactly representing large rigid-body motions. II: Enhanced finite element technique
• Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures
• [https://portal.mardi4nfdi.de/wiki/Publication:3727501 Oberfl�chenorientierte Schalentheorien endlicher Verschiebungen]
• Refined geometrically nonlinear theories of anisotropic laminated shells
• A solid element formulation for large deflection analysis of composite shell structures
• Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
• A continuum‐based shell theory for non‐linear applications
• An efficient assumed strain element model with six DOF per node for geometrically non‐linear shells
• Strain displacement relationships for cylindrical shells.
• Analysis of initially stressed multilayered shells

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