A dual scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
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Publication:785471
DOI10.1007/s00466-020-01839-9zbMath1464.74195OpenAlexW2616541306WikidataQ113326969 ScholiaQ113326969MaRDI QIDQ785471
Sundararajan Natarajan, Chongmin Song, Ean Tat Ooi, Albert A. Saputra, Ean Hin Ooi
Publication date: 6 August 2020
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-020-01839-9
shape functionscaled boundary finite element methodCook membranehigh-order patch testpolyhedra elementpressurized hollow sphere
Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99)
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Cites Work
- Unnamed Item
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- Stress analysis of 3D complex geometries using the scaled boundary polyhedral finite elements
- A low order 3D virtual element formulation for finite elasto-plastic deformations
- A matrix function solution for the scaled boundary finite-element equation in statics
- A new discretization methodology for diffusion problems on generalized polyhedral meshes
- A rational finite element basis
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- \(hp\)-meshless cloud method
- The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics
- High-order virtual element method on polyhedral meshes
- A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
- Weak-form collocation -- a local meshless method in linear elasticity
- An enhanced octree polyhedral scaled boundary finite element method and its applications in structure analysis
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Body loads in scaled boundary finite-element method
- FEM with Trefftz trial functions on polyhedral elements
- Virtual elements for finite thermo-plasticity problems
- Automatic polyhedral mesh generation and scaled boundary finite element analysis of STL models
- Some basic formulations of the virtual element method (VEM) for finite deformations
- Mean value coordinates
- Three dimensional Voronoi cell finite element model for microstructures with ellipsoidal heterogeneties
- Efficient computation of order and mode of corner singularities in 3D‐elasticity
- Polygon scaled boundary finite elements for crack propagation modelling
- A displacement-based finite element formulation for general polyhedra using harmonic shape functions
- Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods
- An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
- Mesh-distortion immunity assessment of QUAD8 elements by strong-form patch tests
- A three-dimensional finite element method with arbitrary polyhedral elements
- Theoretical aspects of the smoothed finite element method (SFEM)
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Element‐free Galerkin methods
- Essential boundary condition enforcement in meshless methods: boundary flux collocation method
- Generalized Barycentric Coordinates on Irregular Polygons
- Survey of meshless and generalized finite element methods: A unified approach
- Reproducing kernel particle methods
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
- Conforming polygonal finite elements
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
