A phase-field description of dynamic brittle fracture
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Publication:695815
DOI10.1016/j.cma.2012.01.008zbMath1253.74089OpenAlexW2006078294MaRDI QIDQ695815
Chad M. Landis, Michael A. Scott, Clemens V. Verhoosel, Thomas J. R. Hughes, Michael J. Borden
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.01.008
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fracture toughness for ductile fracture simulation, Quasi-static crack propagation with a Griffith criterion using a variational discrete element method, Phase-field modeling of hydraulic fracture, Simulation of the dynamic cracking of brittle materials using a nonlocal damage model with an effective strain rate effect, A phase-field model for mixed-mode cohesive fracture in fiber-reinforced composites, An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture, An efficient phase-field model of shear fractures using deviatoric stress split, Crack phase‐field enhanced finite cover method for dynamic fracture at finite strain, Analysis of a diffuse interface method for the Stokes-Darcy coupled problem, Analysis and simulations for a phase‐field fracture model at finite strains based on modified invariants, Investigation of driving forces in a phase field approach to mixed mode fracture of concrete, A framework to model the hydraulic fracturing with thermo-hydro-mechanical coupling based on the variational phase-field approach, Sub-Rayleigh to supershear transition of dynamic mode-II cracks, Reduced-dimensional phase-field theory for lattice fracture and its application in fracture toughness assessment of architected materials, Phase-field fracture modeling for unidirectional fiber-reinforced polymer composites, Phase-Field Modeling of a Single Horizontal Fluid-Driven Fracture Propagation in Spatially Variable Rock Mass, A Gradient-Enhanced Plasticity Based Phase-Field Model for Ductile Fracture Simulations, Modeling of brittle fracture in thick plates subjected to transient dynamic loads using a hybrid phase field model, On failure mode transition: a phase field assisted non-equilibrium thermodynamics model for ductile and brittle fracture at finite strain, A \(C^1\)-conforming arbitrary-order two-dimensional virtual element method for the fourth-order phase-field equation, A neural network-based enrichment of reproducing kernel approximation for modeling brittle fracture, Hyperbolic modeling of gradient damage and one-dimensional finite volume simulations, Phase-field description of fracture in NiTi single crystals, Element‐based coupling modeling of peridynamics and classical continuum mechanics for dynamic brittle fracture, Order reduction of fracture mechanics in porous microstructures: a multiscale computing framework, Hydrogen assisted cracking using an efficient virtual element scheme
Cites Work
- Unnamed Item
- Unnamed Item
- On linear independence of T-spline blending functions
- Local refinement of analysis-suitable T-splines
- Efficient quadrature for NURBS-based isogeometric analysis
- A large deformation, rotation-free, isogeometric shell
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- The variational approach to fracture
- A comparative study on finite element methods for dynamic fracture
- Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
- The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris
- A variational model for fracture mechanics: Numerical experiments
- The simulation of dynamic crack propagation using the cohesive segments method
- Approximation of free-discontinuity problems
- Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
- Numerical experiments in revisited brittle fracture
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- Stable time step estimation for multi-material Eulerian hydrocodes
- Revisiting brittle fracture as an energy minimization problem
- A time-discrete model for dynamic fracture based on crack regularization
- Numerical implementation of the variational formulation for quasi-static brittle fracture
- Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
- An isogeometric analysis approach to gradient damage models
- Isogeometric finite element data structures based on Bézier extraction of NURBS
- An isogeometric approach to cohesive zone modeling
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- Optimal approximations by piecewise smooth functions and associated variational problems
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
- Image segmentation with a finite element method
- Discrete approximation of a free discontinuity problem
- THE PARTITION OF UNITY METHOD
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- A finite element method for crack growth without remeshing
- Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case
- An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture