A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems
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Publication:3062557
DOI10.1002/nme.2868zbMath1202.74179OpenAlexW2059214098WikidataQ57559238 ScholiaQ57559238MaRDI QIDQ3062557
Kai-Yang Zeng, Guiyong Zhang, Lei Chen, Gui-Rong Liu, Trung Nguyen-Thoi
Publication date: 28 December 2010
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.2868
upper boundnumerical methodssingularitystress intensity factorcrackenergy release rateJ-integralmeshfree methodNS-FEM
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Stable particle methods based on Lagrangian kernels
- A smoothed finite element method for plate analysis
- A meshfree method based on the local partition of unity for cohesive cracks
- A smoothed finite element method for mechanics problems
- Dual analysis for path integrals and bounds for crack parameter
- Meshless methods: An overview and recent developments
- An automatic procedure with a control of accuracy for finite element analysis in 2D elasticity
- A three-dimensional large deformation meshfree method for arbitrary evolving cracks
- A smoothed finite element method for shell analysis
- Arbitrary discontinuities in finite elements
- ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS
- A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures
- A GENERALIZED GRADIENT SMOOTHING TECHNIQUE AND THE SMOOTHED BILINEAR FORM FOR GALERKIN FORMULATION OF A WIDE CLASS OF COMPUTATIONAL METHODS
- A stabilized smoothed finite element method for free vibration analysis of Mindlin-Reissner plates
- A method for dynamic crack and shear band propagation with phantom nodes
- Theoretical aspects of the smoothed finite element method (SFEM)
- Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC-PIM)
- On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM)
- Crack tip finite elements are unnecessary
- On the use of isoparametric finite elements in linear fracture mechanics
- Triangular quarter‐point elements as elastic and perfectly‐plastic crack tip elements
- Elastic crack growth in finite elements with minimal remeshing
- Element‐free Galerkin methods
- On the construction of blending elements for local partition of unity enriched finite elements
- A LINEARLY CONFORMING POINT INTERPOLATION METHOD (LC-PIM) FOR 2D SOLID MECHANICS PROBLEMS
