On generation of lumped mass matrices in partition of unity based methods
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Publication:6557567
DOI10.1002/NME.5544zbMATH Open1548.65234MaRDI QIDQ6557567
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
critical time stepnumerical manifold methodexplicit time integrationdynamic crack problemslumped mass matrices
Brittle fracture (74R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Title not available (Why is that?)
- Modeling complex crack problems using the numerical manifold method
- Numerical analysis of 2-D crack propagation problems using the numerical manifold method
- An explicit dynamics extended finite element method. I: Mass lumping for arbitrary enrichment functions
- An explicit dynamics extended finite element method. II: Element-by-element stable-explicit/explicit dynamic scheme
- A simple and robust three-dimensional cracking-particle method without enrichment
- The singular edge-based smoothed finite element method for stationary dynamic crack problems in 2D elastic solids
- A symplectic integration algorithm for separable Hamiltonian functions
- A meshfree method based on the local partition of unity for cohesive cracks
- A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics
- An explicit time integration scheme of numerical manifold method
- Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method
- Dual form of discontinuous deformation analysis
- A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh
- Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
- On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods
- Fracture modeling using meshless methods and level sets in 3D: Framework and modeling
- Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
- New strategies for some issues of numerical manifold method in simulation of crack propagation
- On Partitions of Unity Property of Nodal Shape Functions: Rigid-Body-Movement Reproduction and Mass Conservation
- DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
- A method for dynamic crack and shear band propagation with phantom nodes
- Mass lumping strategies for X-FEM explicit dynamics: Application to crack propagation
- Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical Examples
- Elastic crack growth in finite elements with minimal remeshing
- Element‐free Galerkin methods
- THE PARTITION OF UNITY METHOD
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- A unified stability analysis of meshless particle methods
- Extended finite element method for three-dimensional crack modelling
- A vector level set method and new discontinuity approximations for crack growth by EFG
- A finite element method for crack growth without remeshing
- Variational Mass Lumping in the Partition of Unity Method
- Efficient explicit time stepping for the eXtended Finite Element Method (X‐FEM)
- SINGULAR ENRICHMENT FINITE ELEMENT METHOD FOR ELASTODYNAMIC CRACK PROPAGATION
- Modeling holes and inclusions by level sets in the extended finite element method
- Dynamic fracture with meshfree enriched XFEM
Related Items (4)
Time-dependent virtual crack model of rock with application to slope stability ⋮ Numerical manifold method for dynamic consolidation of saturated porous media with three-field formulation ⋮ Material-dependent crack-tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials ⋮ Shear band static evolution based on complementarity method and the improved numerical manifold method
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