Evaluation of variational phase-field models for dynamic brittle fracture

Mandal, Tushar Kanti; Nguyen, Vinh Phu; Wu, Jian

doi:10.1016/j.engfracmech.2020.107169

Cited by 73 publications

(22 citation statements)

References 92 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is also confirmed from Figure 22(D) that as the damage dissipate rate finally exceeds twice of Griffith's energy release rate, the crack branching happens. This observation is consistence with what was discussed in Döll, 79 Gross and Seelig 5 and the recent phase-field models 78,81 on the criterion for dynamic crack bifurcation. Shown in Figure 23 is the energy dissipation of the system against the magnitude of tensile traction.…”

Section: Analysis Of Dynamic Crack Branchingsupporting

confidence: 89%

“…As discussed in Section 5.1.1, if the traction is relatively small the crack is somewhat quasi-static, whereas if the traction is large the dynamic crack branching may occur (e.g., Case 5.1.1-II). It is well known that dynamic crack branching is a complex phenomenon and its bifurcation mechanism is a challenge, 79,80 and has been studied extensively, not also in classic fracture mechanics, 4,5 but also in phase field models 55,78,81 and peridynamics, 76,77 etc. This section aims to provide a clear understanding of this phenomenon based on the proposed method.…”

Section: Analysis Of Dynamic Crack Branchingmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic cracking simulation by the nonlocal macro‐meso‐scale damage model for isotropic materials

Chen

2021

Numerical Meth Engineering

View full text Add to dashboard Cite

The newly proposed nonlocal macro-meso-scale damage (NMMD) model is extended to dynamic cracking simulation. For this purpose, the framework of continuum damage mechanics and damage constitutive model are firstly described. The NMMD, where the meso-scale damage is determined according to the deformation of material bond and then the macroscopic topologic damage is endowed with the weighted averaging over the meso-scale damage in the influence domain of the material point, is then elaborated and incorporated into the framework. Specifically, the criterion of meso-scale damage is renormalized. The numerical algorithms including the spatial discretization by the finite element methods and the time integration methods by an explicit scheme are outlined. Several examples are studied in detail, showing the effectiveness of the proposed method. In particular, due to the nonlocal property, there is no spatial mesh size sensitivity. Owing to the scale renormalization of the meso-scale damage, the results are insensitive to the influence radius in some examples. The dynamic cracking, including the crack propagation velocity, the damage dissipation rate, and the connection to the dynamic crack branching, is discussed in detail based on the computed results.

show abstract

Section: Analysis Of Dynamic Crack Branchingsupporting

confidence: 89%

Section: Analysis Of Dynamic Crack Branchingmentioning

confidence: 99%

Dynamic cracking simulation by the nonlocal macro‐meso‐scale damage model for isotropic materials

Chen

2021

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…The actual relation of gradient damage models Table 2 Overview of various fracture and damage models available for phase-field modeling. Adapted and extended from [16] Fracture/damage models Brittle fracture [12,146,151,154,155,186] Ductile fracture [199,225,[248][249][250][251][252] Cohesive fracture [12,239,[242][243][244][245]281] Dynamic fracture [172,221,222,[235][236][237]241,282] Fracture in incompressible [283][284][285] solids Finite deformation fracture [217,227,[229][230][231][232] 3D fracture [151,202,[221][222][223][224][225][226]…”

Section: Fracture/damage Models For Pfmentioning

confidence: 99%

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

et al. 2022

View full text Add to dashboard Cite

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.

show abstract

“…Three different constant normal tractions * = {0.5, 3, 6} MPa are applied on the pre-crack surfaces. This benchmark problem has been studied by Bobaru and Zhang 52 using peridynamics and Mandal et al 53 with a synchronous phase field approach. The material is assumed to be soda-lime glass, whose properties are given in Table 1.…”

Section: Compact Tension Testmentioning

confidence: 99%

An asynchronous variational integrator for the phase field approach to dynamic fracture

Niu¹,

Ziaei-Rad²,

Wu³

et al. 2022

Preprint

View full text Add to dashboard Cite

The phase field approach is widely used to model fracture behaviors due to the absence of the need to track the crack topology and the ability to predict crack nucleation and branching. In this work, the asynchronous variational integrators (AVI) is adapted for the phase field approach of dynamic brittle fractures. The AVI is derived from Hamilton's principle and allows each element in the mesh to have its own local time step that may be different from others'. While the displacement field is explicitly updated, the phase field is implicitly solved, with upper and lower bounds strictly and conveniently enforced. In particular, the AT1 and AT2 variants are equally easily implemented. Three benchmark problems are used to study the performances of both AT1 and AT2 models and the results show that AVI for phase field approach significantly speeds up the computational efficiency and successfully captures the complicated dynamic fracture behavior.

show abstract

Evaluation of variational phase-field models for dynamic brittle fracture

Cited by 73 publications

References 92 publications

Dynamic cracking simulation by the nonlocal macro‐meso‐scale damage model for isotropic materials

Dynamic cracking simulation by the nonlocal macro‐meso‐scale damage model for isotropic materials

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

An asynchronous variational integrator for the phase field approach to dynamic fracture

Contact Info

Product

Resources

About