Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements
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Publication:2952588
DOI10.1002/nme.4744zbMath1352.74396OpenAlexW1509944700MaRDI QIDQ2952588
S. E. Leon, Glaucio H. Paulino, D. W. Spring
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4744
Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Theories of fracture and damage (74A45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Uses Software
Cites Work
- Unnamed Item
- A note on two problems in connexion with graphs
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- \texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
- Multiple cohesive crack growth in brittle materials by the extended Voronoi cell finite element model
- Simulating the pervasive fracture of materials and structures using randomly close packed Voronoi tessellations
- A rational finite element basis
- Computational modelling of impact damage in brittle materials
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- The isoperimetric problem for pinwheel tilings
- Lie-group interpolation and variational recovery for internal variables
- Mean value coordinates in 3D
- A statistical method for verifying mesh convergence in Monte Carlo simulations with application to fragmentation
- Polygon scaled boundary finite elements for crack propagation modelling
- Adaptive mesh refinement and coarsening for cohesive zone modeling of dynamic fracture
- Adaptive dynamic cohesive fracture simulation using nodal perturbation and edge-swap operators
- Micromechanical Analysis and Multi-Scale Modeling Using the Voronoi Cell Finite Element Method
- A compact adjacency-based topological data structure for finite element mesh representation
- Extended Voronoi cell finite element model for multiple cohesive crack propagation in brittle materials
- Spatial convergence of crack nucleation using a cohesive finite-element model on a pinwheel-based mesh
- A three-dimensional finite element method with arbitrary polyhedral elements
- Polygonal finite elements for topology optimization: A unifying paradigm
- Cracking node method for dynamic fracture with finite elements
- Mass lumping strategies for X-FEM explicit dynamics: Application to crack propagation
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- Variational Analysis
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency
- Local and global smoothing of discontinuous finite element functions using a least squares method
- An algorithm to generate quadrilateral or triangular element surface meshes in arbitrary domains with applications to crack propagation
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Generalized Gaussian quadrature rules on arbitrary polygons
- An optimal explicit time stepping scheme for cracks modeled with X-FEM
- Efficient explicit time stepping for the eXtended Finite Element Method (X‐FEM)
- Conforming polygonal finite elements
- Cracking particles: a simplified meshfree method for arbitrary evolving cracks
