A length scale insensitive phase-field damage model for brittle fracture

Wu, Jian‐Ying; Nguyen, Vinh Phu

doi:10.1016/j.jmps.2018.06.006

Cited by 423 publications

(166 citation statements)

References 53 publications

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“…There is a large literature devoted to the analysis of the robustness of quasi-Newton methods when dealing with non-convex minimization problems -see, e.g., [27][28][29] and references therein. Very recently, Wu et al [30] showed the potential of quasi-Newton monolithic approaches in the context of the so-called unified phase field damage theory, a phase field regularisation of cohesive zone models (PF-CZM) [31,32]. We extend their analysis to the standard phase field fracture formulation and showcase the potential of the method in three problems of different nature: quasi-static fracture, phase field fatigue and dynamic fracture.…”

Section: Introductionmentioning

confidence: 88%

Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

Kristensen

Martínez‐Pañeda

2020

Theoretical and Applied Fracture Mechanics

200

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We investigate the potential of quasi-Newton methods in facilitating convergence of monolithic solution schemes for phase field fracture modelling. Several paradigmatic boundary value problems are addressed, spanning the fields of quasi-static fracture, fatigue damage and dynamic cracking. The finite element results obtained reveal the robustness of quasi-Newton monolithic schemes, with convergence readily attained under both stable and unstable cracking conditions. Moreover, since the solution method is unconditionally stable, very significant computational gains are observed relative to the widely used staggered solution schemes. In addition, a new adaptive time increment scheme is presented to further reduces the computational cost while allowing to accurately resolve sudden changes in material behavior, such as unstable crack growth. Computation times can be reduced by several orders of magnitude, with the number of load increments required by the corresponding staggered solution being up to 3000 times higher. Quasi-Newton monolithic solution schemes can be a key enabler for large scale phase field fracture simulations. Implications are particularly relevant for the emerging field of phase field fatigue, as results show that staggered cycle-by-cycle calculations are prohibitive in mid or high cycle fatigue. The finite element codes are available to download from www.empaneda.com/codes.

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Section: Introductionmentioning

confidence: 88%

Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

Kristensen

Martínez‐Pañeda

2020

Theoretical and Applied Fracture Mechanics

200

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“…However, the drawback is that it is computationally more expensive due to mesh size and length scale restrictions, which may be overcome through length scale insensitive formulations (e.g. Wu and Nguyen, 2018). Thus, the CPDM approach is versatile and can enable realistic simulation of glacier calving process, even when the damage zone ahead of crevasses tips is not vanishingly small and the viscous flow of the ice cannot be neglected.…”

Section: Realistic Simulation Of Glacier Calving Processmentioning

confidence: 99%

A non-local continuum poro-damage mechanics model for hydrofracturing of surface crevasses in grounded glaciers

2020

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Cite this article: Duddu R, Jiménez S, Bassis J (2020). A non-local continuum poro-damage mechanics model for hydrofracturing of surface crevasses in grounded glaciers. Journal of Glaciology 66(257), 415-429. https://doi. AbstractHydrofracturing can enhance the depth to which crevasses propagate and, in some cases, allow full depth crevasse penetration and iceberg detachment. However, many existing crevasse models either do not fully account for the stress field driving the hydrofracture process and/or treat glacier ice as elastic, neglecting the non-linear viscous rheology. Here, we present a non-local continuum poro-damage mechanics (CPDM) model for hydrofracturing and implement it within a full Stokes finite element formulation. We use the CPDM model to simulate the propagation of water-filled crevasses in idealized grounded glaciers, and compare crevasse depths predicted by this model with those from linear elastic fracture mechanics (LEFM) and zero stress models. We find that the CPDM model is in good agreement with the LEFM model for isolated crevasses and with the zero stress model for closely-spaced crevasses, until the glacier approaches buoyancy. When the glacier approaches buoyancy, we find that the CPDM model does not allow the propagation of water-filled crevasses due to the much smaller size of the tensile stress region concentrated near the crevasse tip. Our study suggests that the combination of non-linear viscous and damage processes in ice near the tip of a water-filled crevasse can alter calving outcomes.

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“…where ∆d is the Laplacian of d, and ∇ x d stands for the spatial gradient. At this point, relevant contributions on this matter are due to the contributions by Wu and coauthors [70][71][72], who extended the applicability the PF method for cohesive and length-scale insensitive fracture.…”

Section: Basic Conceptsmentioning

confidence: 99%

Crack Patterns in Heterogenous Rocks Using a Combined Phase Field-Cohesive Interface Modeling Approach: A Numerical Study

et al. 2019

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Rock fracture in geo-materials is a complex phenomenon due to its intrinsic characteristics and the potential external loading conditions. As a result, these materials can experience intricate fracture patterns endowing various cracking phenomena such as: branching, coalescence, shielding, and amplification, among many others. In this article, we present a numerical investigation concerning the applicability of an original bulk-interface fracture simulation technique to trigger such phenomena within the context of the phase field approach for fracture. In particular, the prediction of failure patterns in heterogenous rock masses with brittle response is accomplished through the current methodology by combining the phase field approach for intact rock failure and the cohesive interface-like modeling approach for its application in joint fracture. Predictions from the present technique are first validated against Brazilian test results, which were developed using alternative phase field methods, and with respect to specimens subjected to different loading case and whose corresponding definitions are characterized by the presence of single and multiple flaws. Subsequently, the numerical study is extended to the analysis of heterogeneous rock masses including joints that separate different potential lithologies, leading to tortuous crack paths, which are observed in many practical situations.

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A length scale insensitive phase-field damage model for brittle fracture

Cited by 423 publications

References 53 publications

Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme

A non-local continuum poro-damage mechanics model for hydrofracturing of surface crevasses in grounded glaciers

Crack Patterns in Heterogenous Rocks Using a Combined Phase Field-Cohesive Interface Modeling Approach: A Numerical Study

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