A Hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates
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Publication:356821
DOI10.1007/s00466-012-0784-9zbMath1366.74023OpenAlexW2051654222MaRDI QIDQ356821
Publication date: 26 July 2013
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-012-0784-9
thin platemeshfree methodbuckling analysisHermite reproducing kernel approximationrotation and curvature smoothing
Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures
- A Hermite DRK interpolation-based collocation method for the analyses of Bernoulli-Euler beams and Kirchhoff-Love plates
- Buckling of rectangular Mindlin plates subjected to partial in-plane edge loads using the radial point interpolation method
- Reproducing kernel element method. I: Theoretical formulation
- Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies
- Reproducing kernel element method. III: Generalized enrichment and applications
- Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy
- Locking-free stabilized conforming nodal integration for meshfree Mindlin--Reissner plate formulation
- A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration
- A meshless collocation method based on the differential reproducing kernel interpolation
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Meshless methods: An overview and recent developments
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- New boundary condition treatments in meshfree computation of contact problems
- Computational study of flow past a cylinder with combined in-line and transverse oscillation
- Buckling analysis of Reissner-Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method
- Free vibration analysis of thin plates using Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration
- Extended meshfree analysis of transverse and inplane loading of a laminated anisotropic plate of general planform geometry
- Buckling analysis of corrugated plates using a mesh-free Galerkin method based on the first-order shear deformation theory
- A COMPARATIVE STUDY ON THE DISPERSION PROPERTIES OF HRK AND RK MESHFREE APPROXIMATIONS FOR KIRCHHOFF PLATE PROBLEM
- BUCKLING OF SYMMETRICALLY LAMINATED COMPOSITE PLATES USING THE ELEMENT-FREE GALERKIN METHOD
- Mesh-free radial point interpolation method for the buckling analysis of Mindlin plates subjected to in-plane point loads
- Meshfree Particle Methods
- Vibration and buckling of a simply supported rectangular plate subjected to a pair of in-plane concentrated forces
- Buckling of folded plate structures subjected to partial in-plane edge loads by the FSDT meshfree Galerkin method
- A meshfree thin shell method for non-linear dynamic fracture
- A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration
- Refined triangular discrete Kirchhoff plate element for thin plate bending, vibration and buckling analysis
- Element‐free Galerkin methods
- Survey of meshless and generalized finite element methods: A unified approach
- Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
- Reproducing kernel particle methods
- A constrained reproducing kernel particle formulation for shear deformable shell in Cartesian coordinates
- Meshfree Methods