Morphogenesis and propagation of complex cracks induced by thermal shocks
arXiv:1310.0501 · doi:10.1103/PhysRevLett.112.014301
Abstract
We study the genesis and the selective propagation of complex crack networks induced by thermal shock or drying of brittle materials. We use a quasi-static gradient damage model to perform large scale numerical simulations showing that the propagation of fully developed cracks follows Griffith criterion and depends only on the fracture toughness, while crack morphogenesis is driven by the material's internal length. Our numerical simulations feature networks of parallel cracks and selective arrest in two dimensions and hexagonal columnar joints in three dimensions, without any hypotheses on cracks geometry and are in good agreement with available experimental results.
References in corpus (1)
Cited by in corpus (36)
- High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
- On penalization in variational phase-field models of brittle fracture
- Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches
- Phase-Field Models for Fatigue Crack Growth
- A phase-field model of frictional shear fracture in geologic materials
- Instability in dynamic fracture and the failure of the classical theory of cracks
- A phase-field method for modeling cracks with frictional contact
- Frozen impacted drop: From fragmentation to hierarchical crack patterns
- Phase Field Modeling of Chemomechanical Fracture of Intercalation Electrodes: Role of Charging Rate and Dimensionality
- An anisotropic cohesive fracture model: advantages and limitations of length-scale insensitive phase-field damage models
- Crack Front Segmentation and Facet Coarsening in Mixed-Mode Fracture
- Accelerated high-cycle phase field fatigue predictions
- A Phase-Field Description for Pressurized and Non-Isothermal Propagating Fractures
- Matrix-free multigrid solvers for phase-field fracture problems
- Phase-field study of crack nucleation and propagation in elastic - perfectly plastic bodies
- Coupling of the phase field approach to the Armstrong-Frederick model for the simulation of ductile damage under cyclic load
- Fast staggered schemes for the phase-field model of brittle fracture based on the fixed-stress concept
- Universality and stability phase-diagram of two-dimensional brittle fracture
- Oscillatory and tip-splitting instabilities in 2D dynamic fracture: The roles of intrinsic material length and time scales
- Crack Path Selection in Orientationally Ordered Composites
- Variational phase-field continuum model uncovers adhesive wear mechanisms in asperity junctions
- Phase field models for thermal fracturing and their variational structures
- Vulnerable Window of Yield Strength for Swelling-Driven Fracture of Phase-Transforming Battery Materials
- Crack front instabilities under mixed mode loading in three dimensions
- Experimentally Validated Multiphysics Modeling of Fracture Induced by Thermal Shocks in Sintered UO2 Pellets
- Elastic instability behind brittle fracture
- Adaptive Finite Element Method for Phase Field Fracture Models Based on Recovery Error Estimates
- Nonlinear Strain-limiting Elasticity for Fracture Propagation with Phase-Field Approach
- A monolithic model for phase-field fracture and waves in solid-fluid media towards earthquakes
- A fast algorithm of the shear-compression damage model for the simulation of block caving
- A shear-compression damage model for the simulation of underground mining by block caving
- Cohesive phase-field fracture with an explicit strength surface: an eigenstrain-based return-mapping formulation
- A mixed phase-field fracture model for crack propagation in punctured EPDM strips
- Evaluation of mechanical and energy properties for the phase field modeling of failure
- A coupled fully kinetic hydrogen transport and ductile phase-field fracture framework for modeling hydrogen embrittlement
- Quasi-Static Anti-Plane Shear Crack Propagation in a New Class of Nonlinear Strain-Limiting Elastic Solids using Phase-Field Regularization