Massive parallelization of the phase field formulation for crack propagation with time adaptivity

Ziaei-Rad, Vahid; Shen, Yongxing

doi:10.1016/j.cma.2016.04.013

Cited by 78 publications

(33 citation statements)

References 42 publications

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“…Following open source implementations: [236] using Nutils [249], [177] using JIVE 7 , [250] using MOOSE [251], [252] (pfm-cracks 8 based on deal.II) and [253] using deal.II 9 , and [173,223] using FENICS [254] are available. In addition a GPU-based implementation [255] and the MEF 90 Fortran implementation [107,110,222,256] are available.…”

Section: Discretization Solvers and Software For Pfmentioning

confidence: 99%

“…For unknown crack paths, a predictor-corrector approach was developed and applied in [146,218,268], goal-oriented error-control [259], and mesh refinement in multiscale phase-field methods [269]. A few rigorous studies on temporal error control exist [255,270]. Apart from classical mesh refinement, an adaptive predictorcorrector non-intrusive global-local (multiscale) approach [240] was developed based on the approach presented in [271], was applied to porous media [272], and extended to multilevel concepts [273].…”

Section: Numerical Analysis For Pfmentioning

confidence: 99%

“…Phasefield models could be accelerated using a staggered schemes instead of a monolithic scheme [162], GPU acceleration [255], and the Message Passing Interface (MPI) based parallelization [173,237], and matrix-free geometric multigrid methods [233,238]. Other attempts to reduce the computational costs are model order reduction [351,352], sympletic time integrators [353], adaptive schemes [146,218,221,255,257,259,260], and global/local (multiscale) approaches [240,271,273,354].…”

Section: Challengesmentioning

confidence: 99%

See 2 more Smart Citations

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

Diehl¹,

Lipton²,

Wick³

et al. 2021

Preprint

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Computational modeling of the initiation and propagation of complex fracture is central to the discipline of engineering fracture mechanics. This review focuses on two promising approaches: phase-field (PF) and peridynamic (PD) models applied to this class of problems. The basic concepts consisting of constitutive models, failure criteria, discretization schemes, and numerical analysis are briefly summarized for both models. Validation against experimental data is essential for all computational methods to demonstrate predictive accuracy. To that end, The Sandia Fracture Challenge and similar experimental data sets where both models could be benchmarked against are showcased. Emphasis is made to converge on common metrics for the evaluation of these two fracture modeling approaches. Both PD and PF models are assessed in terms of their computational effort and predictive capabilities with their relative advantages and challenges are summarized.

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Section: Discretization Solvers and Software For Pfmentioning

confidence: 99%

Section: Numerical Analysis For Pfmentioning

confidence: 99%

Section: Challengesmentioning

confidence: 99%

See 1 more Smart Citation

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

Diehl¹,

Lipton²,

Wick³

et al. 2021

Preprint

View full text Add to dashboard Cite

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“…Additionally, the JIVE framework (Group research 2015) was utilized in May et al (2015), while the package NUTIL (van Zwieten 2018) was used in Singh et al (2016). A GPU implementation was presented in Ziaei-Rad and Shen (2016), where the authors demonstrate a speedup factor of 12 for simulations with around 2.5 million degrees of freedom (dofs). A thread scalable implementation based on the Kokkos library (Edwards et al 2014) was presented in Tupek (2016) for cohesive fracture.…”

Section: Introductionmentioning

confidence: 99%

Large scale simulation of pressure induced phase-field fracture propagation using Utopia

et al. 2021

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Non-linear phase field models are increasingly used for the simulation of fracture propagation problems. The numerical simulation of fracture networks of realistic size requires the efficient parallel solution of large coupled non-linear systems. Although in principle efficient iterative multi-level methods for these types of problems are available, they are not widely used in practice due to the complexity of their parallel implementation. Here, we present Utopia, which is an open-source C++ library for parallel non-linear multilevel solution strategies. Utopia provides the advantages of high-level programming interfaces while at the same time a framework to access low-level data-structures without breaking code encapsulation. Complex numerical procedures can be expressed with few lines of code, and evaluated by different implementations, libraries, or computing hardware. In this paper, we investigate the parallel performance of our implementation of the recursive multilevel trust-region (RMTR) method based on the Utopia library. RMTR is a globally convergent multilevel solution strategy designed to solve non-convex constrained minimization problems. In particular, we solve pressure-induced phase-field fracture propagation in large and complex fracture networks. Solving such problems is deemed challenging even for a few fractures, however, here we are considering networks of realistic size with up to 1000 fractures.

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“…Heister et al [12] and Li et al [13] constructed mesh adaptivity approaches for the problem. Ziaei-Rad and Shen [14] developed a massively parallel algorithm for the phase field approach with time adaptivity. Gerasimov and De Lorenzis [15] proposed a line search procedure for the monolithic scheme to overcome the iterative convergence issues of nonconvex minimization.…”

Section: Introductionmentioning

confidence: 99%

A manifold learning approach to accelerate phase field fracture simulations in the representative volume element

2020

Self Cite

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The multiscale simulation of heterogeneous materials is a popular and important subject in solid mechanics and materials science due to the wide application of composite materials. However, the classical FE 2 (finite element 2) scheme can be costly, especially when the microproblem is nonlinear. In this paper, we consider the case when the microproblem is the phase field formulation for fracture. We adopt the locally linear embedding (LLE) manifold learning approach, a method for non-linear dimension reduction, to extract the manifold that contains a collection of phase-field-represented initial microcrack patterns in the representative volume element (RVE). Then the output data corresponding to any other microcrack pattern, e.g., the evolved phase field at a fixed load, can be accurately reconstructed using the learned manifold with minimum computation. The method has two features: a minimum number of parameters for the scheme, and an input-specific error bar. The latter feature enables an adaptive strategy for any new input on whether to use the proposed, less expensive reconstruction, or to use an accurate but costly high-fidelity computation instead.

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Massive parallelization of the phase field formulation for crack propagation with time adaptivity

Cited by 78 publications

References 42 publications

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

Large scale simulation of pressure induced phase-field fracture propagation using Utopia

A manifold learning approach to accelerate phase field fracture simulations in the representative volume element

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