In-Situ Mechanical Testing of Nano-Component in TEM

Sumigawa, Takashi; Kitamura, Takayuki

doi:10.5772/36597

Cited by 3 publications

(3 citation statements)

References 40 publications

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“…The cohesive force to separate the bonds was then supposed to be dependent on interatomic force-displacement relationships, i.e., interatomic potential, and later associated with the surface energy per unit area. However, it has been only recently that those concepts have been addressed systematically, due to important advancements of in-situ observation of mechanical behavior at small scales [2][3][4][5][6][7][8][9][10][11] and developments of computational techniques such as molecular dynamics supported by improvement in computational power [12][13][14]. Sumigawa et al.…”

Section: Introductionmentioning

confidence: 99%

Strain energy density approach for brittle fracture from nano to macroscale and breakdown of continuum theory

Gallo

Hagiwara

Shimada

et al. 2019

Theoretical and Applied Fracture Mechanics

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In contrast to the great success at the macroscale, fracture mechanics theory fails to describe the fracture at a critical size of several nanometers due to the emerging effect of atomic discreteness with decreasing material size. Here, we propose a novel formulation for brittle fracture, from macro-to even atomic scales, based on extended strain energy density, and give an insight into the breakdown of continuum theory. Numerical experiments based on molecular statistics (MS) simulations are conducted on single-edge cracked samples made of silicon while varying the size until few nanometers, and loaded under mode I. The strain energy density is then defined as a function of the interatomic potential and averaged over the fracture process zone. Finally, by using an attenuation function, the atomic strain energy density gradient is homogenized to allow a comparison between the continuum and discrete formulation. Results show that the fracture process zone is scale independent, confirming that the ideal brittle fracture is ultimately governed by atomic bond-breaking. A singular stress field according to continuum fracture mechanics is still also present. However, when the singular stress field length (distance from the crack tip at which the stress deviates 5% from the theoretical field of r 0.5) is in the range of 4-5 times the fracture process zone, continuum fracture mechanics fails to describe the fracture, i.e., the breakdown of continuum theory. The new formulation, instead, goes well beyond that limit.

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Section: Introductionmentioning

confidence: 99%

Strain energy density approach for brittle fracture from nano to macroscale and breakdown of continuum theory

Gallo

Hagiwara

Shimada

et al. 2019

Theoretical and Applied Fracture Mechanics

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“…In situ observation of mechanical behavior has DOI: 10.1002/adts.201700006 advanced as well. [10][11][12][13] Sumigawa et al [10] published a review of a series of experimental studies at small scales. The authors concluded that the "stress," whose concept is based on continuum mechanics, is still applicable to the fracture phenomenon as the governing parameter while the size approaches the atomic scale.…”

Section: Introductionmentioning

confidence: 99%

Fracture Behavior of Nanoscale Notched Silicon Beams Investigated by the Theory of Critical Distances

Gallo

Yan

Sumigawa

et al. 2017

Advcd Theory and Sims

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“…Recent technological developments have enabled the fabrication of electronic devices with high-density integration. Small size components, e.g., at the nanometer scale, can be fabricated with different shapes including features such as notches and may have defects such as cracks [1,2]. These circumstances have brought problems commonly addressed by fracture mechanics and fatigue theory to a completely new scale level, raising several new questions, experimental challenges, but also attractive new scientific possibilities [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Brittle Failure of Nanoscale Notched Silicon Cantilevers: A Finite Fracture Mechanics Approach

Gallo

Sapora

2020

Applied Sciences

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The present paper focuses on the Finite Fracture Mechanics (FFM) approach and verifies its applicability at the nanoscale. After the presentation of the analytical frame, the approach is verified against experimental data already published in the literature related to in situ fracture tests of blunt V-notched nano-cantilevers made of single crystal silicon, and loaded under mode I. The results show that the apparent generalized stress intensity factors at failure (i.e., the apparent generalized fracture toughness) predicted by the FFM are in good agreement with those obtained experimentally, with a discrepancy varying between 0 and 5%. All the crack advancements are larger than the fracture process zone and therefore the breakdown of continuum-based linear elastic fracture mechanics is not yet reached. The method reveals to be an efficient and effective tool in assessing the brittle failure of notched components at the nanoscale.

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In-Situ Mechanical Testing of Nano-Component in TEM

Cited by 3 publications

References 40 publications

Strain energy density approach for brittle fracture from nano to macroscale and breakdown of continuum theory

Strain energy density approach for brittle fracture from nano to macroscale and breakdown of continuum theory

Fracture Behavior of Nanoscale Notched Silicon Beams Investigated by the Theory of Critical Distances

Brittle Failure of Nanoscale Notched Silicon Cantilevers: A Finite Fracture Mechanics Approach

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