Phase-field modeling of brittle fracture with multi-level hp-FEM and the finite cell method

@article{Nagaraja2018PhasefieldMO,
  title={Phase-field modeling of brittle fracture with multi-level hp-FEM and the finite cell method},
  author={S. Nagaraja and M. Elhaddad and M. Ambati and S. Kollmannsberger and L. Lorenzis and E. Rank},
  journal={Computational Mechanics},
  year={2018},
  volume={63},
  pages={1283-1300}
}
  • S. Nagaraja, M. Elhaddad, +3 authors E. Rank
  • Published 2018
  • Computer Science, Mathematics, Materials Science
  • Computational Mechanics
    • The difficulties in dealing with discontinuities related to a sharp crack are overcome in the phase-field approach for fracture by modeling the crack as a diffusive object being described by a continuous field having high gradients. The discrete crack limit case is approached for a small length-scale parameter that controls the width of the transition region between the fully broken and the undamaged phases. From a computational standpoint, this necessitates fine meshes, at least locally, in… CONTINUE READING
    View on Springer
    arxiv.org
    17 Citations
    Background Citations
    3
    Methods Citations
    4
    17 Citations
    Citation Type

    Citation Type

    A combined XFEM phase-field computational model for crack growth without remeshing
    • PDF
    Non-conforming multipatches for NURBS-based finite element analysis of higher-order phase-field models for brittle fracture
    Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method
    • 2
    A combined adaptive phase field and discrete cutting method for the prediction of crack paths
    A hybridizable discontinuous Galerkin phase-field model for brittle fracture
    • 2
    • PDF
    A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures
    A phase-field study of crack propagation and branching in functionally graded materials using explicit dynamics
    A 3D benchmark problem for crack propagation in brittle fracture
    • 3
    • PDF
    An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS
    • 6
    • PDF
    ICES REPORT 19-12 July 2019 An adaptive space-time phase ■ eld formulation for dynamic fracture of brittle shells based on LR NURBS
    • PDF

    References

    SHOWING 1-10 OF 99 REFERENCES
    A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations
    • 72
    • PDF
    Multi-level hp-adaptivity for cohesive fracture modeling
    • 13
    • PDF
    A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns
    • 148
    An adaptive multiscale phase field method for brittle fracture
    • 39
    A phase-field approach to model fracture of arterial walls: Theory and finite element analysis.
    • 44
    • PDF
    Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
    • 898
    A line search assisted monolithic approach for phase-field computing of brittle fracture
    • 94
    A comparative study of the r-adaptive material force approach and the phase-field method in dynamic fracture
    • 19
    A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
    • 898
    A phase-field description of dynamic brittle fracture
    • 769
    • Highly Influential
    • PDF