A FEniCS implementation of the phase field method for quasi-static brittle fracture

Hirshikesh,; Natarajan, Sundararajan; Annabattula, Ratna Kumar

doi:10.1007/s11709-018-0471-9

Cited by 59 publications

(39 citation statements)

References 49 publications

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“…Miehe et al [29] uses 20,000 three noded triangular elements with characteristic length scale o =0.015. The similar results have been obtained in the literature for example Ambati et al [12] and Hirshikesh et al [31] which uses 12,735 four node quadrilateral elements and 30,546 three node triangular elements, respectively. The presented approach requires lesser number of elements than the uniform discretization and the literature, thus proving the efficacy of the proposed approach.…”

Section: Numerical Examplessupporting

confidence: 87%

“…Similar to the tension test, the deformed configuration shows the discontinuity in the displacement field around the crack as shown in Figures 10b, 10d and 10f. Figure 11 compares the load-displacement with the Ambati et al [12] and the Hirshikesh et al [31]. The results show very good agreement with the reference solutions.…”

Section: Shear Test (Mode-ii Fracture)mentioning

confidence: 55%

“…The displacement at the bottom edge is also constrained. The length scale parameter o is set to 0.01 mm to match the results to the reference solutions [12,31].…”

Section: Shear Test (Mode-ii Fracture)mentioning

confidence: 99%

See 2 more Smart Citations

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

Hirshikesh

Jansari

Kannan

et al. 2019

Engineering Fracture Mechanics

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Section: Numerical Examplessupporting

confidence: 87%

Section: Shear Test (Mode-ii Fracture)mentioning

confidence: 55%

See 1 more Smart Citation

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

Hirshikesh

Jansari

Kannan

et al. 2019

Engineering Fracture Mechanics

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“…The success of phase field modelling has been, not surprisingly, accompanied by a vast literature devoted to the development of open-source codes and finite element implementations of variational phase field methods for fracture. These works have been aimed at both commercial finite element packages, such as COMSOL [ 30 ], and open-source platforms like FEniCS [ 31 ]. The development of phase field fracture implementations in the commercial package Abaqus has received particular attention [ 32 , 33 , 34 , 35 , 36 , 37 , 38 ], due to its popularity in the solid mechanics community.…”

Section: Introductionmentioning

confidence: 99%

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

2021

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We present a simple and robust implementation of the phase field fracture method in Abaqus. Unlike previous works, only a user material (UMAT) subroutine is used. This is achieved by exploiting the analogy between the phase field balance equation and heat transfer, which avoids the need for a user element mesh and enables taking advantage of Abaqus’ in-built features. A unified theoretical framework and its implementation are presented, suitable for any arbitrary choice of crack density function and fracture driving force. Specifically, the framework is exemplified with the so-called AT1, AT2 and phase field-cohesive zone models (PF-CZM). Both staggered and monolithic solution schemes are handled. We demonstrate the potential and robustness of this new implementation by addressing several paradigmatic 2D and 3D boundary value problems. The numerical examples show how the current implementation can be used to reproduce numerical and experimental results from the literature, and efficiently capture advanced features such as complex crack trajectories, crack nucleation from arbitrary sites and contact problems. The code developed is made freely available.

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“…The reader is referred to Ref. [52] for a FEniCS-based implementation, Ref. [53] for a COMSOL-based implementation, Ref.…”

Section: Weak Formmentioning

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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A FEniCS implementation of the phase field method for quasi-static brittle fracture

Cited by 59 publications

References 49 publications

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

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

A Unified Abaqus Implementation of the Phase Field Fracture Method Using Only a User Material Subroutine

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

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