Corpus ID: 237581489

A spatially adaptive phase-field model of fracture

@article{Phansalkar2021ASA,
  title={A spatially adaptive phase-field model of fracture},
  author={Dhananjay Phansalkar and Kerstin Weinberg and Magdalena Ortiz and Sigrid Leyendecker},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.10175}
}
Phase-field models of fracture introduce smeared cracks of width commensurate with a regularisation length parameter and obeying a minimum energy principle. Mesh adaptivity naturally suggests itself as a means of supplying spatial resolution were needed while simultaneously keeping the computational size of the model as small as possible. Here, a variational-based spatial adaptivity is proposed for a phase-field model of fracture. The conventional phase-field model is generalised by allowing a… Expand

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References

SHOWING 1-10 OF 22 REFERENCES
A phase-field description of dynamic brittle fracture
Abstract In contrast to discrete descriptions of fracture, phase-field descriptions do not require numerical tracking of discontinuities in the displacement field. This greatly reduces implementationExpand
Configurational-Force-Based Adaptive FE Solver for a Phase Field Model of Fracture
The computational modeling of failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situations with complex crack topologies. This can be overcome by diffusiveExpand
A continuum phase field model for fracture
A phase field model based on a regularized version of the variational formulation of brittle fracture is introduced. The influences of the regularization parameter that controls the interface widthExpand
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
Abstract Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crackExpand
A line search assisted monolithic approach for phase-field computing of brittle fracture
TLDR
This work proposes a faster and equally accurate approach for quasi-static phase-field computing of (brittle) fracture using a monolithic solution scheme which is accompanied by a novel line search procedure to overcome the iterative convergence issues of non-convex minimization. Expand
A phase-field approach to conchoidal fracture
TLDR
The accuracy and the robustness of the phase-field approaches for conchoidal fracture for both, the linear-elastic case as well as the case of finite deformations are demonstrated and it is shown that using the approach the arising systems can be solved efficiently in parallel with excellent scaling behavior. Expand
A convergence study of phase-field models for brittle fracture
A crucial issue in phase-field models for brittle fracture is whether the functional that describes the distributed crack converges to the functional of the discrete crack when the internal lengthExpand
A review on phase-field models of brittle fracture and a new fast hybrid formulation
In this contribution we address the issue of efficient finite element treatment for phase-field modeling of brittle fracture. We start by providing an overview of the existing quasi-static andExpand
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
The computational modeling of failure mechanisms in solids due to fracture based on sharp crack discontinuities suffers in situations with complex crack topologies. This can be overcome by aExpand
A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment
The paper considers a variational formulation of brittle fracture in elastic solids and proposes a numerical implementation by a finite element method. On the theoretical side, we outline aExpand
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