Adaptive phase field method for quasi-static brittle fracture using a recovery based error indicator and quadtree decomposition

Hirshikesh,; Jansari, Chintan; Kannan, K.; Annabattula, Ratna Kumar; Natarajan, Sendhil Kumar

doi:10.1016/j.engfracmech.2019.106599

Cited by 57 publications

(9 citation statements)

References 93 publications

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“…By extracting the normal velocity field v Φ through the sensitivity analysis in (111), we are now able to solve Formulation (3.1), and thus update the topology of structure. Remark 3.2.…”

Section: Sensitivity Analysismentioning

confidence: 99%

Level-set topology optimization for Ductile and Brittle fracture resistance using the phase-field method

Noii

Jahangiry

Waisman

2023

Computer Methods in Applied Mechanics and Engineering

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“…By extracting the normal velocity field v Φ through the sensitivity analysis in (111), we are now able to solve Formulation (3.1), and thus update the topology of structure. Remark 3.2.…”

Section: Sensitivity Analysismentioning

confidence: 99%

Level-set topology optimization for Ductile and Brittle fracture resistance using the phase-field method

Noii

Jahangiry

Waisman

2023

Computer Methods in Applied Mechanics and Engineering

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“…Note that the variational inequality ( 10) is modified to the variational equality (11) and hence theoretically, it is not the same problem. Still, results obtained by employing the history field show great resemblance to the results obtained by the optimization approach.…”

Section: Crack Irreversibilitymentioning

confidence: 99%

“…In [10] a remeshing is driven by deformation energy density. Adaptive remeshing was used in [11], where refinement was driven with recovery type indicator. Adaptivity for the problems of ductile fracture was presented in [12] and adaptivity for thermally induced fracture in [13].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Phase-Field Modeling of Brittle Fracture

Jukić

Jarak

Seleš

et al. 2021

Lecture Notes in Civil Engineering

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The phase-field method for brittle fracture is a powerful and versatile method, but it suffers from high computational costs due to high mesh density requirement. This problem can be tackled by the development of adaptive remeshing procedures. In this paper, a simple and easily implementable adaptive remeshing scheme for a phase-field model of brittle fracture is presented. The mesh refinement scheme is based on the splitting of triangle elements into two new elements, resulting in conforming meshes. A simple mesh hierarchy is utilized for mesh coarsening. Remeshing criteria are based on physical quantities such as the deformation energy density and the gradient of phase-field. The phase-field model is solved using a staggered algorithm and the remeshing procedure is performed after every two iterations of the algorithm. The AT2 model is utilized, together with the spectral energy split. Generated results such as crack paths and force-displacement diagrams are compared to the results from the literature. It is shown that the utilization of adaptive remeshing leads to significant time savings without compromising the solution accuracy.

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“…An alternative is to use adaptive refinement algorithms based on error indicators. Several strategies have been proposed [34][35][36][37][38][39], being most of them based on post-error estimation such as goal-oriented, recovery, and residual. For example, Areias et al [40,41] presented an adaptive mesh refinement strategy that combines the staggered algorithm with the screened Poisson equation.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, Samaniego et al [43] solved the phase-field equations via machine learning approach. In this paper, we aim to extend the recently developed adaptive PFM by Hirshikesh et al [37] to model fracture in orthotropic FGMs. The adaptive PFM is based on the combination of quadtree decomposition and recovery based error indicators, allowing for an automatic tracking of the crack trajectory and local domain discretization.…”

Section: Introductionmentioning

confidence: 99%

Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials

2021

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In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive mesh refinement. The proposed approach is capable of capturing the fracture process with a localized mesh refinement that provides notable gains in computational efficiency.The implementation is validated against experimental data and other numerical experiments on orthotropic materials with different material orientations. The results reveal an increase in the stiffness and the maximum force with increasing material orientation angle. The study is then extended to the analysis of orthotropic FGMs. It is observed that, if the gradation in fracture properties is neglected, the material gradient plays a secondary role, with the fracture behaviour being dominated by the orthotropy of the material. However, when the toughness increases along the crack propagation path, a substantial gain in fracture resistance is observed.

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Adaptive phase field method for quasi-static brittle fracture using a recovery based error indicator and quadtree decomposition

Cited by 57 publications

References 93 publications

Level-set topology optimization for Ductile and Brittle fracture resistance using the phase-field method

Level-set topology optimization for Ductile and Brittle fracture resistance using the phase-field method

Adaptive Phase-Field Modeling of Brittle Fracture

Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials

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