A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities
DOI10.1007/s00466-013-0884-1zbMath1398.74432arXiv1210.5430OpenAlexW2133023973MaRDI QIDQ2441191
Stéphane Pierre Alain Bordas, Jianmin Qu, X. J. Zhao
Publication date: 21 March 2014
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.5430
level set methodequilibrium shapeinterface excess energysmoothed extended finite element methodWachspress shape function
Anisotropy in solid mechanics (74E10) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25)
Related Items (11)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Analytical solutions for a surface-loaded isotropic elastic layer with surface energy effects
- Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces
- Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems
- A finite element framework for continua with boundary energies. II: The three-dimensional case
- A finite element framework for continua with boundary energies. I: The two-dimensional case
- A finite element formulation for nanoscale resonant mass sensing using the surface Cauchy-Born model
- A smoothed finite element method for mechanics problems
- An XFEM/level set approach to modelling surface/interface effects and to computing the size-dependent effective properties of nanocomposites
- On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A rational finite element basis
- A continuum theory of elastic material surfaces
- A computational approach to handle complex microstructure geometries.
- The influence of elastic constants on the shape of an inclusion.
- Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation
- Symmetry-breaking transitions in equilibrium shapes of coherent precipitates
- The equilibrium shape of an elastically inhomogeneous inclusion
- Level set methods and dynamic implicit surfaces
- An Eulerian-Lagrangian method for fluid-structure interaction based on level sets
- The finite element absolute nodal coordinate formulation incorporated with surface stress effect to model elastic bending nanowires in large deformation
- Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
- Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
- The extended/generalized finite element method: An overview of the method and its applications
- An extended finite element/level set method to study surface effects on the mechanical behavior and properties of nanomaterials
- An Extended Finite Element Method for Two-Phase Fluids
- Size-Dependent Eshelby’s Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies
- Mechanical Behavior of Materials
- On the approximation in the smoothed finite element method (SFEM)
- An extended finite element library
- Theoretical aspects of the smoothed finite element method (SFEM)
- A combined extended finite element and level set method for biofilm growth
- Fast Marching Methods
- The extended finite element method (XFEM) for solidification problems
- A finite element method for crack growth without remeshing
- A surface Cauchy–Born model for nanoscale materials
- Modeling holes and inclusions by level sets in the extended finite element method
This page was built for publication: A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities