A quantitative analysis of the indentation fracture of fused silica

Li, Changsheng; Zhang, Liangchi; Sun, Lin; Yang, Shuming; Wu, Chuhan; Long, Xingyuan; Ding, Jianjun; Jiang, Zhuangde

doi:10.1111/jace.16645

Cited by 15 publications

(8 citation statements)

References 48 publications

(157 reference statements)

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“…When considering different flaw populations (eg, surface, bulk, shear‐fault), it becomes increasingly complicated to experimentally validate analytic results beyond affirming the presence and orientation of a tensile maximum principal stress. In practice, sharp indentation analytic models are verified with FEA 26,68,69 …”

Section: Resultsmentioning

confidence: 98%

Sharp indentation stress fields in fused silica: Finite element analysis and Yoffe analytic model

2020

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The closed-form Yoffe analytic model (1982), which superimposes two linear-elastic stress fields, was developed as a first approximation to quantify the mechanical response of silicate glasses to sharp indentation. However, a detailed study with both experimental validation and numerical verification has yet to be published. This paper presents such a study, wherein experimental observation of crack systems in fused silica and numerical results from finite element analysis (FEA) are used to demonstrate the limitations of this analytic superimposition model. Specifically, analytic stress fields deviate from FEA numerical results and are inconsistent with several commonly observed crack systems. In contrast, FEA generated stress fields are entirely consistent with experimentally observed crack systems. Upon further investigation, it was found that the analytic model, with one tunable parameter, could

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Section: Resultsmentioning

confidence: 98%

Sharp indentation stress fields in fused silica: Finite element analysis and Yoffe analytic model

2020

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“…It is well known that in indentation, brittle materials exhibit a characteristic crack system including median cracks, radial cracks, lateral cracks, and cone cracks [6,7]. The crack system in glass was confirmed by crosssectional observation along the median/radial cracks [8][9][10]. Real-time observation of crack evolution during loading/unloading was also accomplished [6,11].…”

Section: Introductionmentioning

confidence: 88%

Crack Propagation Behavior of Fused Silica during Cyclic Indentation under Incremental Loads

2022

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Fused silica is an important optical material with important applications, where the surface must be precisely machined without subsurface damage. In this study, multi-cyclic indentations under incremental loads were performed on fused silica using two kinds of indenters to clarify the mechanisms of crack generation and propagation induced by precision grinding. It was found that incremental loading cyclic nanoindentation induced various patterns of subsurface cracking and surface spalling. Four kinds of surface spalling were identified at different locations around an indent, the temporal formation mechanisms of which were clarified by microscopic observation and topographical measurement. Load–displacement curve analysis demonstrated that incremental propagation of lateral cracks during early indentation cycles caused large-scale brittle fractures during later cycles. Compared with a Berkovich indenter, a cube-corner indenter caused more significant brittle fractures and surface spalling. The findings in this study will deepen the understanding of subsurface damaging mechanism of fused silica and other brittle solids caused by cyclic tool-workpiece interactions in grinding and other mechanical machining processes.

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“…In the finite element model, an infinitely sharp Berkovich edge-forward indenter slides along the x -axis on the top surface of a deformable parallelepiped with a dimension of W × W × ( l + 2 W ), as shown in Figure 2 . The diamond indenter is assumed to be rigid because its Young’s modulus [ 32 ] and hardness [ 33 ] are much higher than those of the fused silica samples [ 14 ]. An eight-node linear brick element with reduced integration and hourglass control is used.…”

Section: Finite Element Modelingmentioning

confidence: 99%

“…It is reported that the stress and deformation are relieved by densification [ 13 , 25 ]. The stress distribution is significantly influenced by the geometry and location of the elastic–plastic boundary [ 14 , 37 ]. In the analytical models of sliding stress fields, e.g., the Ahn model [ 16 ] and the Wang model [ 17 ], the plastic region is assumed to be a sphere with the center on the sample surface.…”

Section: Deformation and Fracture In Fused Silica Under Scratchingmentioning

confidence: 99%

“…In order to solve this problem, Yoffe [ 13 ] proposed the Blister stress field model, which, for the first time, integrates the material densification. Li et al [ 14 ] modified the ECD model to make it suitable for materials with densification. Compared with the Yoffe model, the modified ECD model considers the distribution characteristics of the contact pressure between the indenter and the sample.…”

Section: Introductionmentioning

confidence: 99%

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An Investigation into the Densification-Affected Deformation and Fracture in Fused Silica under Contact Sliding

Ma²,

Sun

et al. 2022

Micromachines

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Subsurface damage of fused silica optics is one of the major factors restricting the performance of optical systems. The densification-affected deformation and fracture in fused silica under a sliding contact are investigated in this study, via three-dimensional finite element analysis (FEA). The finite element models of scratching with 70.3° conical and Berkovich indenters are established. A refined elliptical constitutive model is used to consider the influence of densification. The finite element models are experimentally verified by elastic recovery, and theoretically verified by hardness ratio. Results of densification and plastic deformation distributions indicate that the accuracy of existent sliding stress field models may be improved if the spherical/cylindrical yield region is replaced by an ellipsoid/cylindroid, and the embedding of the yield region is considered. The initiation sequence, and the locations and stages of radial, median, and lateral cracks are discussed by analyzing the predicted sliding stress fields. Median and radial cracks along the sliding direction tend to be the first cracks that emerge in the sliding and unloading stages, respectively. They coalesce to form a big median–radial crack that penetrates through the entire yield region. The fracture behavior of fused silica revealed in this study is essential in the low-damage machining of fused silica optics.

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A quantitative analysis of the indentation fracture of fused silica

Cited by 15 publications

References 48 publications

Sharp indentation stress fields in fused silica: Finite element analysis and Yoffe analytic model

Sharp indentation stress fields in fused silica: Finite element analysis and Yoffe analytic model

Crack Propagation Behavior of Fused Silica during Cyclic Indentation under Incremental Loads

An Investigation into the Densification-Affected Deformation and Fracture in Fused Silica under Contact Sliding

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