Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals

Abdollahi, Amir; Arias, Irene

doi:10.1007/s10704-011-9664-0

Cited by 50 publications

(28 citation statements)

References 50 publications

(58 reference statements)

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“…Observation on microcracks in this study thus provides an insight into the development of AE events in the faulting (shear fracturing) process. As a result, more energy should be released in the former since the energy release rate of transgranular crack is usually several times of that of grain boundary crack (Abdollahi & Arias, 2012;Alber & Hauptfleisch, 1999;Tatami et al, 1997;Yasuda et al, 1993). A shear fracturing first exhibits a larger total microcrack density and a wider damage zone than a tensile fracturing.…”

Section: Implications To Seismic Activitymentioning

confidence: 99%

Microscopic Characterization of Tensile and Shear Fracturing in Progressive Failure in Marble

Cheng

Wong

2018

JGR Solid Earth

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Compression‐induced tensile and shear fractures were reported to be the two fundamental fracture types in rock fracturing tests. This study investigates such tensile and shear fracturing process in marble specimens containing two different flaw configurations. Observations first reveal that the development of a tensile fracture is distinct from shear fracture with respect to their nucleation, propagation, and eventual formation in macroscale. Second, transgranular cracks and grain‐scale spallings become increasingly abundant in shear fractures as loading increases, which is almost not observed in tensile fractures. Third, one or some dominant extensional microcracks are commonly observed in the center of tensile fractures, while such development of microcracks is almost absent in shear fractures. Microcracks are generally of a length comparable to grain size and distribute uniformly within the damage zone of the shear fracture. Fourth, the width of densely damaged zone in the shear fracture is nearly 10 times of that in the tensile fracture. Quantitative measurement on microcrack density suggests that (1) microcrack density in tensile and shear fractures display distinct characteristics with increasing loading, (2) transgranular crack density in the shear fracture decreases logarithmically with the distance away from the shear fracture center, and (3) whatever the fracture type, the anisotropy can only be observed for transgranular cracks with a large density, which partially explains why microcrack anisotropy usually tends to be unobvious until approaching peak stress in specimens undergoing brittle failure. Microcracking characteristics observed in this work likely shed light to some phenomena and conclusions generalized in seismological studies.

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Section: Implications To Seismic Activitymentioning

confidence: 99%

Microscopic Characterization of Tensile and Shear Fracturing in Progressive Failure in Marble

Cheng

Wong

2018

JGR Solid Earth

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“…In the same way, additional bulk energy terms, such as the chemical free energy density f chem (c, φ s ) (see Eq. (19). (7)), can easily be included in the total energy functional of Eq.…”

Section: Multiphase-field Model Based On Griffith's Theorymentioning

confidence: 99%

“…By minimization of the total system energy, the models describe the propagation of cracks [7]. Extensions of this approach to plastic effects in multiphase materials are elaborated by Schneider et al [18] and applications in ferroelectric polycrystals are shown by Abdollahi and Arias [19]. Only few approaches describe crack propagation in heterogeneous materials.…”

Section: Introductionmentioning

confidence: 99%

Modeling of crack propagation on a mesoscopic length scale

Nestler¹,

Schneider²,

Schoof³

et al. 2016

GAMM-Mitteilungen

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Modeling of crack propagation in materials has long been a challenge in solid‐state physics and materials science. The phase‐field method is basically developed for modeling solidification processes and has now established as one of the tools for the description of crack propagation. The applied models are thermodynamically consistent and predict crack propagation in homogeneous materials under the consideration of different loading types, multiple physical fields, geometrical and physical nonlinearities. One of the open challenges is the modeling of crack propagation on a mesoscopic length scale in multiphase or multi‐grain systems. In this work, we summarize our preliminary work to get closer to the goal of describing crack propagation on a mesoscopic length scale. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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“…In the latter work, crack propagation was linked to an anisotropic fracture toughness that enters the model by means of an anisotropic crack-surface-density function (see also Teichtmeister et al [6] for more details). Phase-field models for crack propagation in ferroelectrics in consideration of domain evolution have been proposed by, for example, Xu et al [11] and Abdollahi et al [12][13][14]. [8] who confirmed that an applied electric field influences the material's fracture toughness.…”

Section: Introductionmentioning

confidence: 99%

Coupled phase‐field modeling of domain and fracture evolution in anisotropic ferroelectric ceramics

Keip

Sridhar

2019

Proc Appl Math and Mech

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The contribution presents a material model for the simulation of domain and fracture evolution in ferroelectric ceramics. Ferroelectric domains and cracks are modeled by using a phase field. While for the modeling of the ferroelectric domains we consider the vectorial electric polarization as order parameter, the modeling of cracks is based on a scalar damage variable. In the present contribution, we discuss the evolution of domains and cracks in an anisotropic ferroelectric solid.

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Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals

Cited by 50 publications

References 50 publications

Microscopic Characterization of Tensile and Shear Fracturing in Progressive Failure in Marble

Microscopic Characterization of Tensile and Shear Fracturing in Progressive Failure in Marble

Modeling of crack propagation on a mesoscopic length scale

Coupled phase‐field modeling of domain and fracture evolution in anisotropic ferroelectric ceramics

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