3D hierarchical interface-enriched finite element method: implementation and applications

DOI10.1016/j.jcp.2015.06.035zbMath1352.65551OpenAlexW765012725MaRDI QIDQ729224

Soheil Soghrati, Hossein Ahmadian

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.06.035

zbMATH Keywords

composite materialhierarchical enrichmentSteiner pointHIFEMmaterials interfacemesh-independent

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (9)

Conforming to interface structured adaptive mesh refinement: 3D algorithm and implementation ⋮ Effects of shape and misalignment of fibers on the failure response of carbon fiber reinforced polymers ⋮ An object‐oriented geometric engine design for discontinuities in unfitted/immersed/enriched finite element methods ⋮ Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions ⋮ Analyzing effects of surface roughness, voids, and particle-matrix interfacial bonding on the failure response of a heterogeneous adhesive ⋮ A stable discontinuity-enriched finite element method for 3-D problems containing weak and strong discontinuities ⋮ An XFEM Implementation of a Projection Method for 3D Incompressible Two-Fluid Flows with Arbitrary High Contrasts in Material Properties ⋮ A NURBS-based generalized finite element scheme for 3D simulation of heterogeneous materials ⋮ On the stability and interpolating properties of the hierarchical interface-enriched finite element method

Uses Software

• HYPLAS

Cites Work

• Unnamed Item
• Hierarchical interface-enriched finite element method: an automated technique for mesh-independent simulations
• A micromechanics-enhanced finite element formulation for modelling heterogeneous materials
• A 3D interface-enriched generalized finite element method for weakly discontinuous problems with complex internal geometries
• A boundary collocation meshfree method for the treatment of Poisson problems with complex morphologies
• Meshless methods: a review and computer implementation aspects
• The partition of unity finite element method: basic theory and applications
• A new cloud-based \(hp\) finite element method
• A Trefftz method in space and time using exponential basis functions: application to direct and inverse heat conduction problems
• An interface-enriched generalized FEM for problems with discontinuous gradient fields
• Extended isogeometric analysis for simulation of stationary and propagating cracks
• Multiscale Finite Element Methods
• Adaptive superposition of finite element meshes in non-linear transient solid mechanics problems
• Elastic crack growth in finite elements with minimal remeshing
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• A finite element method for crack growth without remeshing
• Shear-slip mesh update in 3D computation of complex flow problems with rotating mechanical components

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