Meshless method based on Shepard function and partition of unity for two-dimensional crack problems
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Publication:1654999
DOI10.1016/j.enganabound.2016.01.009zbMath1403.74082OpenAlexW2259400014MaRDI QIDQ1654999
Longgang Tian, Yongchang Cai, Lianyang Zhang, Lin Han
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.01.009
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Uses Software
Cites Work
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- A PU-based meshless Shepard interpolation method satisfying delta property
- A new method for meshless integration in 2D and 3D Galerkin meshfree methods
- A simple and robust three-dimensional cracking-particle method without enrichment
- Reproducing kernel element method. I: Theoretical formulation
- Imposing essential boundary conditions in mesh-free methods
- The piecewise polynomial partition of unity functions for the generalized finite element methods
- The mixed-cell-complex partition-of-unity method
- Boundary locking induced by penalty enforcement of essential boundary conditions in mesh-free methods
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Meshless methods: An overview and recent developments
- The partition of unity finite element method: basic theory and applications
- Consistent pseudo-derivatives in meshless methods
- An iterative coupling between meshless methods to solve embedded crack problems
- Crack path prediction using the natural neighbour radial point interpolation method
- Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
- A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
- New strategies for some issues of numerical manifold method in simulation of crack propagation
- A Local Meshless Shepard and Least Square Interpolation Method Based on Local Weak Form
- Surfaces Generated by Moving Least Squares Methods
- The natural element method in solid mechanics
- Meshless Galerkin methods using radial basis functions
- Element‐free Galerkin methods
- A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
- Assessment and applications of point interpolation methods for computational mechanics
- A point interpolation meshless method based on radial basis functions
- A Particle-Partition of Unity Method--Part III: A Multilevel Solver
- Moving kriging interpolation and element-free Galerkin method
- Reproducing kernel particle methods
- Fracture mechanics. An introduction
