Cohesive Zone Modeling of Crack Propagation in FCC Single Crystals via Atomistic Simulations

Lee, Gi Hun; Kim, Jang Hyun; Beom, Hyeon Gyu

doi:10.1007/s12540-020-00693-x

Cited by 14 publications

(5 citation statements)

References 45 publications

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“…Note that a similar observation is given based on the atomistic simulations in Ref. [31], where it was shown that the maximum normal stress arises behind the position of the virtual crack tip inside the cohesive zone. Note that the obtained SGET results do not contain paradoxes of the classical elasticity solution, where the assumed straight propagation of the crack cannot be validated by the criteria of the crack propagation direction [12].…”

Section: Resultssupporting

confidence: 77%

“…This improvement of the classical asymptotic solution is similar to known results with moving Dugdale cracks [29] and the full-field classical solutions for brittle materials [30]. Moreover, the SGET solution predicts the maximum stress behind the crack tip (i.e., in the cohesion zone) that was observed recently within the atomistic simulations of the crack growth processes [31].…”

Section: Introductionsupporting

confidence: 87%

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Steady-State Crack Growth in Nanostructured Quasi-Brittle Materials Governed by Second Gradient Elastodynamics

Solyaev

2023

Applied Sciences

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The elastodynamic stress field near a crack tip propagating at a constant speed in isotropic quasi-brittle material was investigated, taking into account the strain gradient and inertia gradient effects. An asymptotic solution for a steady-state Mode-I crack was developed within the simplified strain gradient elasticity by using a representation of the general solution in terms of Lamé potentials in the moving framework. It was shown that the derived solution predicts the nonsingular stress state and smooth opening profile for the growing cracks that can be related to the presence of the fracture process zone in the micro-/nanostructured quasi-brittle materials. Note that similar asymptotic solutions have been derived previously only for Mode-III cracks (under antiplane shear loading). Thus, the aim of this study is to show the possibility of analytical assessments on the elastodynamic crack tip fields for in-plane loading within gradient theories. By using the derived solution, we also performed analysis of the angular distribution of stresses and tractions for the moderate speed of cracks. It was shown that the usage of the maximum principal stress criterion within second gradient elastodynamics allows us to describe a directional stability of Mode-I crack growth and an increase in the dynamic fracture toughness with the crack propagation speed that were observed in the experiments with quasi-brittle materials. Therefore, the possibility of the effective application of regularized solutions of strain gradient elasticity for the refined analysis of dynamic fracture processes in the quasi-brittle materials with phenomenological assessments on the cohesive zone effects is shown.

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Section: Resultssupporting

confidence: 77%

Section: Introductionsupporting

confidence: 87%

Steady-State Crack Growth in Nanostructured Quasi-Brittle Materials Governed by Second Gradient Elastodynamics

Solyaev

2023

Applied Sciences

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“…The crystallographic orientation of the newly formed plane corresponded to the (001) plane. The Cu specimen with a nanocrack under tension usually showed a clean plane caused by unstable crack growth, as reported in a previous study [ 35 ].…”

Section: Resultssupporting

confidence: 75%

Atomistic Investigation on the Blocking Phenomenon of Crack Propagation in Cu Substrate Reinforced by CNT

Shim

Beom

2023

Nanomaterials

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Recently, many researchers in the semiconductor industry have attempted to fabricate copper with carbon nanotubes for developing efficient semiconductor systems. In this work, tensile tests of a carbon-nanotube-reinforced copper specimen were conducted using the molecular statics method. The copper substrate utilized in the tensile tests had an edge half-crack, with the carbon nanotube located on the opposite side of the copper substrate. Subsequently, the effects of carbon nanotube radius were investigated. The mechanical properties of the copper/carbon nanotube composite were measured based on the simulation results, which indicated that the atomic behavior of the composite system exhibited the blocking phenomenon of crack propagation under tension. The fracture toughness of the composite system was measured using the Griffith criterion and two-specimen method, while the crack growth resistance curve of the system was obtained by varying the crack length. This study demonstrated that the mechanical reliability of copper can be improved by fabricating it with carbon nanotubes.

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“…However, the fracture toughness is established modeling a nano-crystal with a specific crack length and geometry that change from one investigation to other, therefore a fracture toughness that depends on the crack size is obtained, instead of a unique value that only depends on the material properties. The J -integral ( J ) is also an energy method that is extensively used to measure the fracture toughness [ 27 , 28 , 29 ]. Nevertheless, as other energy parameters, J lacks accuracy when irreversibility such as dislocations appear in the MD simulation [ 30 ].…”

Section: Introductionmentioning

confidence: 99%

Fracture Toughness Estimation of Single-Crystal Aluminum at Nanoscale

et al. 2021

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In this publication, molecular dynamics simulations are used to investigate the fracture behavior of single-crystal aluminum. The stress intensity factor is estimated by means of four different methods, the accuracy is assessed for each approach and the fracture toughness is estimated. The proposed methodology is also applied to estimate the fracture toughness for graphene and diamond using published data from other scientific articles. The obtained fracture toughness for the single-crystal aluminum is compared with other nanomaterials that have similar microstructures. Dislocation emission during the fracture simulation of the cracked nano-crystal of aluminum is analyzed to study the fracture behavior. Brittle fracture behavior is the predominant failure mode for the nanomaterials studied in this research.

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Cohesive Zone Modeling of Crack Propagation in FCC Single Crystals via Atomistic Simulations

Cited by 14 publications

References 45 publications

Steady-State Crack Growth in Nanostructured Quasi-Brittle Materials Governed by Second Gradient Elastodynamics

Steady-State Crack Growth in Nanostructured Quasi-Brittle Materials Governed by Second Gradient Elastodynamics

Atomistic Investigation on the Blocking Phenomenon of Crack Propagation in Cu Substrate Reinforced by CNT

Fracture Toughness Estimation of Single-Crystal Aluminum at Nanoscale

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