Cracking particles: a simplified meshfree method for arbitrary evolving cracks
Explore this paper's citation graph
Summary
A new approach for modelling discrete cracks in meshfree methods is described, in which the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
- Type
- article
- Published
- 2004-12-07
- Cited by
- 1,791
- References
- 67
- OpenAlex
- https://openalex.org/W2081784455
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:122712431
Keywords
Heaviside step function, Classification of discontinuities, Discontinuity (linguistics), Representation (politics), Cracking
References
- Dynamic Fracture of Nominally Brittle Materials
- Fracture mechanics test methods for concrete : report of Technical Committee 89-FMT Fracture Mechanics of Concrete, Test Methods, RILEM (the International Union of Testing and Research Laboratories for Materials and Structures)
- Fracture Mechanics Test Methods For Concrete
- Nonlinear Finite Elements for Continua and Structures
- AN ADAPTIVE CONTINUUM/DISCRETE CRACK APPROACH FOR MESHFREE PARTICLE METHODS
- Contributions to the continuum modelling of strong discontinuities in two-dimensional solids
- Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency
- Normalized SPH with stress points
- A finite element with embedded localization zones
- Elastic analysis using finite elements with constraints formulated by boundary integral equations
- MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 2: NUMERICAL SIMULATION
- Continuous meshless approximations for nonconvex bodies by diffraction and transparency
- Microbranching instability and the dynamic fracture of brittle materials.
- Adaptivity for structured meshfree particle methods in 2D and 3D
- Adaptive FEM computation of geometric and material nonlinearities with application to brittle failure
- Simulation of high velocity concrete fragmentation using SPH/MLSPH
- Crack propagation by element-free Galerkin methods
- Mixed‐Mode Fracture of Concrete Subjected to Impact Loading
- Non‐planar 3D crack growth by the extended finite element and level sets—Part II: Level set update
- Reproducing kernel particle methods for structural dynamics
Cited by
- Woodification of polygonal meshes
- The development of a generalized meshfree approximation for solid and fracture analysis
- A Moving IRBFN-based Integration-Free Meshless Method
- Numerical Simulations of Dynamic Fracture in Thin Shell Structures
- A Meshless Method Using the Local Partition of Unity for Modeling of Cohesive Cracks
- Méthode éléments finis étendus en espace et en temps : application à la propagation dynamique des fissures
- Meshless Analysis of Ductile Failure
- Computations of the dynamic fracture of quasi-brittle plane and shell structures by the extended finite element method
- Particle difference method for dynamic crack propagation
- Modelling the dynamic failure of brittle rocks using a hybrid continuum-discrete element method with a mixed-mode cohesive fracture model
- Isogeometric analysis based on rational splines over hierarchical T-mesh and alpha finite element method for structural analysis
- RBF-based meshless modeling of strain localization and fracture
- A dynamic XFEM formulation for crack identification
- A non-ordinary state-based peridynamics formulation for thermoplastic fracture
- Modeling of damage propagation in cohesive-frictional materials
- A nonlinear semi-concurrent multiscale method for fractures
- Construct ‘FE-Meshfree’ Quad4 using mean value coordinates
- Impact fracture analysis enhanced by contact of peridynamic and finite element formulations
- Fatigue crack growth in functionally graded material using homogenized XIGA
- Three-dimensional stochastic quasi-static fatigue crack growth simulations using coupled FE-EFG approach
Related papers
- A METHOD OF EVALUATION FOR TWO- AND THREE-DIMENSIONAL DISCONTINUITY NETWORKS
- Constraints for the Early Detection of Discontinuity from Motion
- Discontinuity spacings in rock
- Discontinuity frequency in rock masses
- Discontinuity location on a Timoshenko beam by using a novel wave reflection technique
- Sharp discontinuity tracking applied to explosion problems
- XFEM formulation for discontinuities in fractured rock masses