Comparison of peridynamic and phase-field models for dynamic brittle fracture in glassy materials

Mehrmashhadi, Javad; Bahadori, Mohammadreza; Bobaru, Florin

doi:10.31224/osf.io/4zc69

Cited by 3 publications

(5 citation statements)

References 86 publications

(131 reference statements)

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“…We do offer speculation regarding possible explanation and areas which may lead to improved quantitative agreement. Regarding the discrepancy in branching location, Mehrmashhadi et al was able to achieve better agreement with experiment by applying the normal force loading over a subset of the full V-notch, to model the effect of reduced area under contact [70]. We remark that we were able to achieve improved agreement in crack branching location with similar techniques.…”

Section: Dynamic Brittle Fracture Ii: V-notched Glass Under Impactmentioning

confidence: 51%

“…Following the settings in [62], the frictional effect is neglected. Moreover, since the actual measurement of the bar tip shape was not provided in experiments, we assume that the full length of the V-notch is loaded, although we note that the predicted failure patterns might differ from the ones produced by the partial loading of the notch surfaces [70]. Crack velocities were also estimated in [62], and the results indicate that both the photoelastic recording and the DGS method provided reliable velocity history profiles.…”

Section: Dynamic Brittle Fracture Ii: V-notched Glass Under Impactmentioning

confidence: 99%

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An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture

Yu,

You,

Trask

2021

Preprint

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Meshfree discretizations of state-based peridynamic models are attractive due to their ability to naturally describe fracture of general materials. However, two factors conspire to prevent meshfree discretizations of state-based peridynamics from converging to corresponding local solutions as resolution is increased: quadrature error prevents an accurate prediction of bulk mechanics, and the lack of an explicit boundary representation presents challenges when applying traction loads. In this paper, we develop a reformulation of the linear peridynamic solid (LPS) model to address these shortcomings, using improved meshfree quadrature, a reformulation of the nonlocal dilitation, and a consistent handling of the nonlocal traction condition to construct a model with rigorous accuracy guarantees. In particular, these improvements are designed to enforce discrete consistency in the presence of evolving fractures, whose a priori unknown location render consistent treatment difficult. In the absence of fracture, when a corresponding classical continuum mechanics model exists, our improvements provide asymptotically compatible convergence to corresponding local solutions, eliminating surface effects and issues with traction loading which have historically plagued peridynamic discretizations. When fracture occurs, our formulation automatically provides a sharp representation of the fracture surface by breaking bonds, avoiding the loss of mass. We provide rigorous error analysis and demonstrate convergence for a number of benchmarks, including manufactured solutions, free-surface, nonhomogeneous traction loading, and composite material problems. Finally, we validate simulations of brittle fracture against a recent experiment of dynamic crack branching in soda-lime glass, providing evidence that the scheme yields accurate predictions for practical engineering problems.

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Section: Dynamic Brittle Fracture Ii: V-notched Glass Under Impactmentioning

confidence: 51%

Section: Dynamic Brittle Fracture Ii: V-notched Glass Under Impactmentioning

confidence: 99%

An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture

Yu,

You,

Trask

2021

Preprint

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“…Also, the comparison in Figure 27(C) shows that all the patterns are in perfect agreement, and are insensitive to the influence radius. The comparison with the results by the peridynamics and phase field model in Mehrmashhadi et al 83 demonstrates that both peridynamics and phase field model can capture the major characteristics of the crack pattern, however, it can be seen from Figure 28 that the bifurcation angle of the proposed method is closer to the experimental results.…”

Section: The Sundaram-tippur Impact Panelmentioning

confidence: 60%

“…The width of the notch is 0.5 mm. The two macroscopic material parameters and the mass density for the impacted panel take the values according to Mehrmashhadi et al 83 : Young's modulus E = 7.2 × 10 4 MPa, Poisson's ratio = 0.23 and = 2440 kg∕m 3 . The other parameters in the NMMD take the same from the previous example (except the critical deformation parameter cr = 1.7 × 10 −4 mm 1∕2 ): the meso-scale material parameter = ∞ and the parameters in the energetic degradation function p = 4, q = 0.…”

Section: The Sundaram-tippur Impact Panelmentioning

confidence: 99%

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

Chen

2021

Numerical Meth Engineering

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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.

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“…To account for stress discontinuities, and further to allow for an improved description of crack branching as relevant for frangibility (Sections 5 and 6), peridynamics simulations are an attractive alternative to FEM. [ 149 ] Similar to FEM, they require input from material properties, but do not involve a mesh and are, therefore, scale invariant. For example, peridynamics simulation has been used to study dynamic crack propagation, [ 150 ] impact damage, [ 151 ] and the indentation response of glasses.…”

Section: Computational Studies Of Glass Mechanical Behaviormentioning

confidence: 99%

Advancing the Mechanical Performance of Glasses: Perspectives and Challenges

et al. 2022

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in terms of deciphering structure-property relationships and the nonaffine nature of glass mechanical behavior, of computational and computer-assisted methods for accelerated materials discovery, and of physicochemical insight at glass formation and synthesis in unconventional types of materials. Despite this progress, significant questions remain as to the fundamental role of structural heterogeneity and its consequences for the predictability of mechanical properties underlying the many applications of glass. Today's challenge is to translate new understanding of the physics of disorder, glass chemistry, and surface mechanics into tools that enable future glass products with adapted elasticity, strength, and toughness. We will therefore consider fundamental advances in relation to emerging glass applications. While the aforementioned physical insights have mostly been obtained by computational simulation of model systems, and often through the examination of metallic glasses, we will here focus on glasses suitable for visible transparency, in particular silicate glasses, such as a representative of today's most prolific glass devices, ranging from ultrathin substrates to strong and visually transparent cover materials. We will further consider hybrid glasses and glass-like composite materials as emerging alternatives that may overcome the ubiquitous conflict between strength and toughness. [1] Glasses are materials that lack a crystalline microstructure and long-range atomic order. Instead, they feature heterogeneity and disorder on superstructural scales, which have profound consequences for their elastic response, material strength, fracture toughness, and the characteristics of dynamic fracture. These structure-property relations present a rich field of study in fundamental glass physics and are also becoming increasingly important in the design of modern materials with improved mechanical performance. A first step in this direction involves glass-like materials that retain optical transparency and the haptics of classical glass products, while overcoming the limitations of brittleness. Among these, novel types of oxide glasses, hybrid glasses, phase-separated glasses, and bioinspired glass-polymer composites hold significant promise. Such materials are designed from the bottom-up, building on structure-property relations, modeling of stresses and strains at relevant length scales, and machine learning predictions. Their fabrication requires a more scientifically driven approach to materials design and processing, building on the physics of structural disorder and its consequences for structural rearrangements, defect initiation, and dynamic fracture in response to mechanical load. In this article, a perspective is provided on this highly interdisciplinary field of research in terms of its most recent challenges and opportunities.The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/adma.202109029.

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Comparison of peridynamic and phase-field models for dynamic brittle fracture in glassy materials

Cited by 3 publications

References 86 publications

An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture

An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture

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

Advancing the Mechanical Performance of Glasses: Perspectives and Challenges

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