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Use of Lagrange polynomials to build refined theories for laminated beams, plates and shells
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Finite Element Analysis of Structures Through Unified Formulation
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Beam Structures: Classical and Advanced Theories
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Finite element bending analysis of multilayer plates
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Finite element analysis of anisotropic plates
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Beam element matrices derived from Vlasov's theory of open thin‐walled elastic beams
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Nonlinear Analysis of Shells by Finite Elements
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Composite and Sandwich Shells
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Theories and Finite Elements for Multilayered Plates and Shells:A Unified compact formulation with numerical assessment and benchmarking
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Theories and finite elements for multilayered, anisotropic, composite plates and shells
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Global-local laminate variational model
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A second order beam theory
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The finite element method. Linear static and dynamic finite element analysis
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A refined higher-order C° plate bending element
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Two-dimensional curved beam element with higher-order hierarchical transverse approximation for laminated composites
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Large amplitude free vibration analysis of cross-ply composite and sandwich laminates with a refined theory and finite elements
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An evaluation of equivalent-single-layer and layerwise theories of composite laminates
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Exact solutions for laminated cylindrical shells in cylindrical bending
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Non-linear transient dynamic analysis of sandwich plate with composite face-sheets embedded with shape memory alloy wires and flexible core- based on the mixed LW (layer-wise)/ESL (equivalent single layer) models
inferredcites →https://doi.org/10.1016/j.compositesb.2016.12.001openalex-snapshot
Shell elements with through-the-thickness variable kinematics for the analysis of laminated composite and sandwich structures
inferredcites →https://doi.org/10.1016/j.compositesb.2017.03.006openalex-snapshot
Analytical study for the development of a new warping function for high order beam theory
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Exact solutions for coupled responses of thin-walled FG sandwich beams with non-symmetric cross-sections
inferredcites →https://doi.org/10.1016/j.compstruct.2004.07.003openalex-snapshot
A unified formulation to assess theories of multilayered plates for various bending problems
inferredcites →https://doi.org/10.1016/j.compstruct.2012.11.016openalex-snapshot
Mixed LW/ESL models for the analysis of sandwich plates with composite faces
inferredcites →https://doi.org/10.1016/j.compstruct.2016.01.087openalex-snapshot
A Sublaminate Generalized Unified Formulation for the analysis of composite structures
inferredcites →https://doi.org/10.1016/j.jsv.2011.04.022openalex-snapshot
A variable kinematic Ritz formulation for vibration study of quadrilateral plates with arbitrary thickness
inferredcites →https://doi.org/10.1016/j.tws.2007.02.001openalex-snapshot
Generalised beam theory to analyse the buckling behaviour of circular cylindrical shells and tubes
inferredcites →https://doi.org/10.1016/j.tws.2016.06.016openalex-snapshot
First-order generalised beam theory for curved thin-walled members with circular axis
inferredcites →https://doi.org/10.1016/s0141-0296(99)00043-7openalex-snapshot
A modified Vlasov theory for dynamic analysis of thin-walled and variable open section beams
inferredcites →https://doi.org/10.1016/s0263-8223(99)00063-xopenalex-snapshot
First-order zig-zag sublaminate plate theory and finite element model for laminated composite and sandwich panels
inferredcites →https://doi.org/10.1016/s0263-8231(02)00025-3openalex-snapshot
First-order generalised beam theory for arbitrary orthotropic materials
inferredcites →https://doi.org/10.1016/s0263-8231(02)00026-5openalex-snapshot
Second-order generalised beam theory for arbitrary orthotropic materials
inferredcites →https://doi.org/10.1038/074074a0openalex-snapshot
A Treatise on the Mathematical Theory of Elasticity
inferredcites →https://doi.org/10.1080/107594199305647openalex-snapshot
C0 Zigzag Kinematic Displacement Models for the Analysis of Laminated Composites
inferredcites →https://doi.org/10.1080/14786442208633855openalex-snapshot
X. On the transverse vibrations of bars of uniform cross-section
inferredcites →https://doi.org/10.1080/19475411.2017.1421275openalex-snapshot
The Ritz – Sublaminate Generalized Unified Formulation approach for piezoelectric composite plates
inferredcites →https://doi.org/10.1115/1.1385512openalex-snapshot
Developments, ideas, and evaluations based upon Reissner’s Mixed Variational Theorem in the modeling of multilayered plates and shells
inferredcites →https://doi.org/10.1115/1.1557614openalex-snapshot
Historical review of Zig-Zag theories for multilayered plates and shells
inferredcites →https://doi.org/10.1115/1.3111076openalex-snapshot
Theories and Computational Models for Composite Laminates
inferredcites →https://doi.org/10.1115/1.3119162openalex-snapshot
Assessment of Computational Models for Multilayered Composite Shells
inferredcites →https://doi.org/10.1115/1.3157679openalex-snapshot
Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
inferredcites →https://doi.org/10.1115/1.3167719openalex-snapshot
A Simple Higher-Order Theory for Laminated Composite Plates
inferredcites →https://doi.org/10.1115/1.3171828openalex-snapshot
Laminated Composite Plate Theory With Improved In-Plane Responses
inferredcites →https://doi.org/10.1115/1.3641719openalex-snapshot
Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates
inferredcites →https://doi.org/10.1115/1.4009435openalex-snapshot
The Effect of Transverse Shear Deformation on the Bending of Elastic Plates
inferredcites →https://doi.org/10.1115/1.4010217openalex-snapshot
Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates
inferredcites →https://doi.org/10.1177/002199837801200106openalex-snapshot
Calculation of Edge Stresses in Multi-Layer Laminates by Sub-Structuring
inferredcites →https://doi.org/10.1515/crll.1850.40.51openalex-snapshot
Über das Gleichgewicht und die Bewegung einer elastischen Scheibe.
inferredcites →https://doi.org/10.2514/1.j050203openalex-snapshot
Variable-Kinematics Approach for Linearized Buckling Analysis of Laminated Plates and Shells
inferredcites →https://doi.org/10.2514/2.444openalex-snapshot
Evaluation of Layerwise Mixed Theories for Laminated Plates Analysis
inferredcites →https://doi.org/10.2514/3.10202openalex-snapshot
Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling.
inferredcites →https://doi.org/10.2514/3.50249openalex-snapshot
Elastic Behavior of Multilayered Bidirectional Composites
inferredcites →https://doi.org/10.2514/3.59909openalex-snapshot
Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation
inferredcites →https://doi.org/10.2514/3.6295openalex-snapshot
A finite-element analysis including transverse shear effects for applications to laminated plates
inferredcites →https://doi.org/10.2514/4.862199openalex-snapshot
Nonlinear Analysis of Shell Structures
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4654502openalex-extracted
Closed-Form Layerwise Unified Formulation for Sandwich Composites Via the Boundary-Discontinuous Generalized Double Fourier Series Approach
inferred← citeshttps://doi.org/10.1002/adem.202400619openalex-snapshot
Forming Limits Prediction of Laminated SUS430/Al1050/SUS430 Composites and the Effect of Component Properties on Mechanical Performance
inferred← citeshttps://doi.org/10.1007/978-3-032-24656-1_1openalex-snapshot
Nonlinear Analysis of Composites with Two-Dimensional Finite Elements and Arbitrary Displacement Fields
inferred← citeshttps://doi.org/10.1007/s42496-023-00177-2openalex-snapshot
Use of the 3D Equilibrium Equations in the Free-Edge Analyses for Laminated Structures with the Variable Kinematics Approach
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2024.103709openalex-snapshot
Mesh objective characteristic element length for higher-order finite beam elements
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Multi-fidelity probabilistic failure onset analysis of composite structures under uncertainties
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Tensile damage analysis of composite structures based on 3D Hashin failure criteria and 2D higher-order structural theories
inferred← citeshttps://doi.org/10.1016/j.compstruct.2022.116275openalex-snapshot
Refined multilayered beam, plate and shell elements based on Jacobi polynomials
inferred← citeshttps://doi.org/10.1016/j.compstruct.2023.117668openalex-snapshot
Thermal stress analysis of variable angle tow composite plates through high-order structural models
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Exact solutions for clamped spherical and cylindrical panels via a unified formulation and boundary discontinuous method
inferred← citeshttps://doi.org/10.1016/j.compstruct.2025.118842openalex-snapshot
Component-Wise measure of elastic energy contributions in laminated composite beams
inferred← citeshttps://doi.org/10.1016/j.compstruct.2025.119883openalex-snapshot
Nonlinear composite beam finite elements with arbitrary cross-sectional displacement fields
inferred← citeshttps://doi.org/10.1016/j.compstruct.2026.120633openalex-snapshot
Plate elements with node dependent kinematics and arbitrary displacement fields for free edge analysis
inferred← citeshttps://doi.org/10.1016/j.compstruct.2026.120877openalex-snapshot
Dynamic analysis of composite joined shells using a combined Craig–Bampton and iterative improved reduced system method
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.110240openalex-snapshot
Peridynamic differential operator for solution of high-order beam and plate equations
inferred← citeshttps://doi.org/10.1080/01495739.2025.2518459openalex-snapshot
Coupled thermoelastic transient analyses of truss-like structures via high-fidelity beam models
inferred← citeshttps://doi.org/10.1080/15376494.2022.2028042openalex-snapshot
Analysis of metallic and functionally graded beams using isogeometric approach and Carrera Unified Formulation
inferred← citeshttps://doi.org/10.1080/15376494.2022.2037173openalex-snapshot
Numerical simulation of deployable ultra-thin composite shell structures for space applications and comparison with experiments
inferred← citeshttps://doi.org/10.1080/15376494.2022.2048150openalex-snapshot
Development of refined one-dimensional finite element models using a nodal kinematics optimization method
inferred← citeshttps://doi.org/10.1080/15376494.2022.2073410openalex-snapshot
Free vibration analysis of rotating FGP sandwich cylindrical shells with metal-foam core layer
inferred← citeshttps://doi.org/10.1080/15376494.2022.2141385openalex-snapshot
Vibration suppression and energy flow tailoring of coupled metal and composite plates with curvilinear fibers
inferred← citeshttps://doi.org/10.1080/15376494.2023.2240579openalex-snapshot
Simple first-order shear deformation theory for free vibration of FGP-GPLRC spherical shell segments
inferred← citeshttps://doi.org/10.1080/15376494.2023.2245825openalex-snapshot
A regularized higher-order beam elements for damage analysis of reinforced concrete beams
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Non-polynomial zig-zag unified shear deformation formulation solved via boundary discontinuous method for laminated sandwich plates
inferred← citeshttps://doi.org/10.1080/15376494.2024.2434198openalex-snapshot
Beam finite element models with node dependent kinematics and arbitrary displacement fields over the cross-section
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Vibration power flow based damage detection of fiber-reinforced laminated composite plates
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Static analysis of functionally graded shells of double curvature using trigonometric shear and normal deformation theory
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Composite shell finite elements with arbitrary displacement fields along the thickness
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Dynamic and frequency analysis of functionally graded (FG) graphene origami-enabled auxetic metamaterial cylindrical shells using a meshless method based on the layer-wise Carrera unified shell theory
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Incorporating peridynamic differential operator into Carrera unified formulation for beam type structures
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Machine learning-enhanced CUF-based finite element models using Lagrange polynomials for the vibration analysis of sandwich plates with metamaterial cores and graphene nanoplatelet-reinforced polymer faces
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Static and vibration analysis of bidirectional FGM beams by using a new shear deformation theory with generalized differential quadrature method
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Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates
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Analysis of composite beams, plates, and shells using Jacobi polynomials and NDK models
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A study of characteristic element length for higher-order finite elements
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