Extension of MITC to higher-order beam models and shear locking analysis for compact, thin-walled, and composite structures

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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Refined beam elements with only displacement variables and plate/shell capabilities
Theories and finite elements for multilayered anisotropic, composite plates and shells.
A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element
Stress projection for membrane and shear locking in shell finite elements
Reduced integration, function smoothing and non-conformity in finite element analysis (with special reference to thick plates)
Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
On locking-free shear deformable beam finite elements
Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking
Cross-sectional mapping for refined beam elements with applications to shell-like structures
Finite Element Analysis of Structures Through Unified Formulation
A quadratic mindlin element using shear constraints
A Simple Higher-Order Theory for Laminated Composite Plates
A formulation of general shell elements—the use of mixed interpolation of tensorial components
A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains
A new nine node degenerated shell element with enhanced membrane and shear interpolation
An assumed covariant strain based 9-node shell element
Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling.
Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation
A penalty plate-bending element for the analysis of laminated anisotropic composite plates
Superconvergence and Reduced Integration in the Finite Element Method
The hybrid-stress model for thin plates
Reduced integration and the shear-flexible beam element
Optimal stress locations in finite element models
The “heterosis” finite element for plate bending
Higher‐order MITC general shell elements
The Mechanics of Solids and Structures - Hierarchical Modeling and the Finite Element Solution
New strategy for assumed stresses for 4‐node hybrid stress membrane element
Reduced integration technique in general analysis of plates and shells
More on optimal stress points—reduced integration, element distortions and error estimation

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