An adaptive material point method coupled with a phase-field fracture model for brittle materials

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)

Cites Work

A phase-field model for ductile fracture at finite strains and its experimental verification
Phase field approximation of dynamic brittle fracture
A multiscale cohesive zone model and simulations of fractures
Coupling of finite element method with material point method by local multi-mesh contact method
A phase-field description of dynamic brittle fracture
The variational approach to fracture
Effect of pure mode I, II or III loading or mode mixity on crack growth in a homogeneous solid
Extended meshfree methods without branch enrichment for cohesive cracks
Smeared cracking, plasticity, creep, and thermal loading - A unified approach
Numerical integration of the Galerkin weak form in meshfree methods
Application of a particle-in-cell method to solid mechanics
A cohesive segments method for the simulation of crack growth
The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
Modeling delamination as a strong discontinuity with the material point method
A particle method for history-dependent materials
Revisiting brittle fracture as an energy minimization problem
An efficient contact algorithm for the interaction of material particles with finite elements
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
A modification of the phase-field model for mixed mode crack propagation in rock-like materials
Material point method with enriched shape function for crack problems
An adaptive multiscale phase field method for brittle fracture
A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis
Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model
An assessment of the phase field formulation for crack growth
Fracture mechanics. Fundamentals and applications.
A phase-field model for cohesive fracture
Contact algorithms for the material point method in impact and penetration simulation
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
Smeared crack approach: back to the original track
Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
Side-node transition quadrilateral finite elements for mesh-grading
A finite element for transition from a fine to a coarse grid
Element‐free Galerkin methods
GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
Extended finite element method for quasi-brittle fracture
An algorithm to generate quadrilateral or triangular element surface meshes in arbitrary domains with applications to crack propagation
A new 3D finite element for adaptive h‐refinement in 1‐irregular meshes
A finite element method for crack growth without remeshing
Modeling crack discontinuities without element-partitioning in the extended finite element method
Phase-field material point method for brittle fracture
Field-gradient partitioning for fracture and frictional contact in the material point method