Comparative Measurement of Indentation Fracture Toughness with Berkovich and Vickers Indenters

Dukino, R. D.; Swain, Michael V.

doi:10.1111/j.1151-2916.1992.tb04425.x

Cited by 152 publications

(75 citation statements)

References 9 publications

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“…Also, the fracture toughness is in good agreement with the values reported for the macroscale. [21,23,[42][43][44] This demonstrates that the fracture behavior of silicon is not affected by the size and that nanoscale mechanisms govern the macroscale behavior. On this last point, TCD can yield important findings and further results that are detailed in the Discussion section below.…”

Section: Evaluation Of the Nano-si Fracture Toughness By The Tcdmentioning

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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Section: Evaluation Of the Nano-si Fracture Toughness By The Tcdmentioning

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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“…[34][35][36][37] The fracture toughness of the starting LCO, which is assumed to be well-annealed and relatively defect-free, was measured previously via the nanoindentation-based pop-in method, described extensively elsewhere. 17,[38][39][40][41] This experimental approach relates K Ic to so-called "pop-in" events (see Figure 1 and Methods) that manifest when cracking is induced during nanoindentation loading. Briefly, the resulting crack length c is determined from displacement bursts at a given applied load; the calculated K Ic depends on c as well as the Young's elastic modulus E and hardness H of the uncracked material.…”

mentioning

confidence: 99%

Effect of Electrochemical Charging on Elastoplastic Properties and Fracture Toughness of Li_XCoO₂

Swallow

Woodford

McGrogan

et al. 2014

J. Electrochem. Soc.

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Mechanical degradation of lithium-ion battery (LIB) electrodes has been correlated with capacity fade and impedance growth over repeated charging and discharging. Knowledge of how the mechanical properties of materials used in LIBs are affected by electrochemical lithiation and delithiation could provide insight into design choices that mitigate mechanical damage and extend device lifetime. Here, we measured Young's modulus E, hardness H, and fracture toughness K Ic via instrumented nanoindentation of the prototypical intercalation cathode, Li X CoO 2 , after varying durations of electrochemical charging. After a single charge cycle, E and H decreased by up to 60%, while K Ic decreased by up to 70%. Microstructural characterization using optical microscopy, Raman spectroscopy, X-ray diffraction, and further nanoindentation showed that this degradation in K Ic was attributable to Li depletion at the material surface and was also correlated with extensive microfracture at grain boundaries. These results indicate that K Ic reduction and irreversible microstructural damage occur during the first cycle of lithium deintercalation from polycrystalline aggregates of Li X CoO 2 , potentially facilitating further crack growth over repeated cycling. Such marked reduction in K Ic over a single charge cycle also yields important implications for the design of electrochemical shock-resistant cathode materials. Energy storage is an enabling technology for electrified transportation and for large-scale deployment of renewable energy resources such as solar and wind. For many applications, non-aqueous ionintercalation chemistries such as Li-ion are attractive for their high energy density and electrochemical reversibility. However, the electrode materials used in ion-intercalation batteries undergo significant composition changes-which correlate to high storage capacity-that can induce structural changes and mechanical stresses; these changes can degrade battery performance metrics such as power, achievable storage capacity, and lifetime.1-8 Microstructural damage has been observed directly in numerous electrode materials subjected to electrochemical cycling, both within single crystals (or grains) and among polycrystalline aggregates. 4,5,[7][8][9][10][11][12][13][14][15] While the relationships among electrode microstructure, electrochemical cycling conditions, crystallographic changes in the active materials, and resulting mechanical stresses have been elucidated, relatively little is known about the composition-dependency of the key physical properties. Numerous models have been developed to predict mechanical deformation in ion-storage materials during electrochemical cycling, as recently reviewed by Mukhopadhyay and Sheldon. 16 The quantitative utility of such models is dependent on measured elastoplastic properties, particularly the fracture toughness of these materials. To date, few experimental measurements of fracture toughness K Ic of battery materials have been reported; [17][18][19][20] similarly, few measureme...

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“…Dukino and Swain in 1992 [40] developed a correction to the Laugier equation (χ v = 0.016) for a Berkovich indenter by taking into account the number of symmetric cracks proposed by Ouchterlony. Conventional indentation cracking methods for fracture toughness measurement require a long crack larger than the indent size.…”

Section: Silicon Carbidementioning

confidence: 99%

Fracture Toughness Evaluation and Plastic Behavior Law of a Single Crystal Silicon Carbide by Nanoindentation

2018

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Nanoindentation-based fracture toughness measurements of ceramic materials like silicon carbide (SiC) with pyramidal indenters are of significant interest in materials research. A majority of currently used fracture toughness models have been developed for Vickers indenters and are limited to specific crack geometries. The validity of the indentation-cracking method for the fracture toughness measurement of single crystal SiC, the elastic-plastic anisotropy and orientation dependence around the c-axis when indented in the <0001> direction is examined using nanoindentation with different pyramidal indenters. The residual impressions are analyzed using scanning electron microscopy to measure the crack lengths and the validity of existing fracture toughness measurement methods and equations is analyzed. A combination of nanoindentation with different pyramidal indenters to produce a wide range of effective strains and finite element simulation is used to extract flow properties of single crystal SiC in the <0001> direction. It is observed that there is no orientation dependence around the c-axis when SiC-6H is indented in the <0001> direction with a Berkovich indenter, i.e., it is transversely isotropic. It is also found that for a Berkovich indenter, the Jang and Pharr model, which is based on the Lawn model for cone/halfpenny cracks, gives approximately constant values at low loads (<1 N), while at higher loads (>1 N), the Laugier model gives constant fracture toughness values. Finite element analysis using equivalent cones is used along with measured hardness values to estimate the yield strength, the work hardening exponents and the stress-strain curve for single crystal SiC-6H in the <0001> direction.

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Comparative Measurement of Indentation Fracture Toughness with Berkovich and Vickers Indenters

Cited by 152 publications

References 9 publications

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

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

Effect of Electrochemical Charging on Elastoplastic Properties and Fracture Toughness of Li_XCoO₂

Fracture Toughness Evaluation and Plastic Behavior Law of a Single Crystal Silicon Carbide by Nanoindentation

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Comparative Measurement of Indentation Fracture Toughness with Berkovich and Vickers Indenters

Cited by 152 publications

References 9 publications

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

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

Effect of Electrochemical Charging on Elastoplastic Properties and Fracture Toughness of LiXCoO2

Fracture Toughness Evaluation and Plastic Behavior Law of a Single Crystal Silicon Carbide by Nanoindentation

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Effect of Electrochemical Charging on Elastoplastic Properties and Fracture Toughness of Li_XCoO₂