Size effect of thermal shock crack patterns in ceramics and numerical predictions

Wu, Xiaofeng; Jiang, Chunyan; Song, Fan; Li, Jia; Shao, Yunfeng; Xu, Xianghong; Peng, Yan

doi:10.1016/j.jeurceramsoc.2014.10.032

Cited by 35 publications

(17 citation statements)

References 39 publications

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“…In addition, our theoretical model predicts constant crack spacing for the sample with different thickness subject to the same temperature change, without any assumption of material properties. This conclusion has more applicability and is also supported by the experimental and numerical studies of another research group [45]. Figure 5a, b shows the crack patterns of alumina after thermal shock at the temperature difference | Φ| = 400 K and | Φ| = 900 K, and we can find a hierarchical crack pattern in the latter situation.…”

Section: The Critical Temperature Difference and Crack Spacing In Thesupporting

confidence: 70%

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Quantitative law of diffusion induced fracture

et al. 2016

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Through dimension analysis, an almost analytical model for the maximum diffusion induced stress (DIS) and critical temperature (or concentration) difference at which cracks begin to initiate in the diffusion process is developed. It interestingly predicts that the spacing of diffusioninduced cracks is constant, independent of the thickness of specimen and the temperature difference. These conclusions are validated by our thermal shock experiments on alumina plates. Furthermore, the proposed model can interpret observed hierarchical crack patterns for high temperature jump cases, and a three-stage relation between the residual strength and the temperature difference. The prediction for crack spacing can guide the biomimetic thermal-shockfailure proof design, in which the hard platelets smaller than the predicted diffusion induced by constant crack-spacing are embedded in a soft matrix, and, therefore, no fracture will happen. This may guide the design of the thermal protection system and the lithium ion battery. Finally we present the maximum normalized DISes for various geometry and boundary conditions by single-variable curves for the stressindependent diffusion process and two-variable contour plots engineers and materialists a simple and easy way to quickly evaluate the reliability of related materials and devices.

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Section: The Critical Temperature Difference and Crack Spacing In Thesupporting

confidence: 70%

“…We notice that in some existing literature [41,45], nonconstant crack spacing is observed and modeled. This may be attributed to the material properties sensitive to temperature.…”

Section: The Critical Temperature Difference and Crack Spacing In Thementioning

confidence: 90%

Quantitative law of diffusion induced fracture

et al. 2016

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“…Inspired by Bahr's research works, in the last decade, many researchers studied crack patterns after thermal shocks, in order to reveal mechanisms between residual strength and crack characteristics . For thin ceramic specimens, Shao conducted thermal shock testing in the temperature range higher than the critical thermal shock temperature difference (Δ T c ) and showed that the depth of long crack was gradually increased in regime III, which supported the standpoint of Davidge and Bahr, although Hasselman had opposite results.…”

Section: Introductionmentioning

confidence: 86%

“…Jiang utilized a combination of experimental evidence and finite element method, based on the minimum potential energy principle, to assess the mechanism of formation of thermal shock crack patterns in ceramics. By using the similar method, Wu devoted to the size effect and Liu employed thin circular ceramic specimens in thermal shock experiments. In the research of Jiang, Wu and Liu, they do not only reproduce the evolution of crack patterns with regular periodic and hierarchical characteristics during the thermal shock process but also expect to reveal the mechanism forming this kind of patterns.…”

Section: Introductionmentioning

confidence: 99%

Fractal characterization of ceramic crack patterns after thermal shocks

Meng

Song

et al. 2018

J Am Ceram Soc

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This work utilized a combination of experimental evidence and fractal geometric method to assess the effect of crack extension concerning the thermal shock on residual strength of ceramics. Sintered alumina (Al2O3) ceramic slabs were bundled and quenched in water under different thermal shock temperatures. The fractal dimension of thermal shock crack patterns on the interior surface and the cooled surface was calculated by the Box‐counting method. Fracture energy of a fractal pattern of microcracks in quasi‐brittle solids was employed to explain the relationship between crack length and fractal dimensions. The results show that if the crack propagation has the same crack length but a larger fractal dimension, it will absorb more fracture energy. The thermal shock crack patterns of Al2O3 ceramics with different grain sizes were analyzed, and the smaller grain size ceramic had a higher fractal dimension of crack patterns than the larger one.

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“…He found that the wall thickness has a significant effect on ∆T c , compared to the relatively weak effects of tube diameter and length. Wu et al [2015] examined the size effect on thermal-shock cracks and found that the crack length of the longest level showed an increasing trend with the increase of the specimen width. She et al [2002] and Ding et al [2006] evaluated the thermal shock behavior of porous silicon carbide (SiC) ceramics as a function of quench temperature, quench cycles, and specimen thickness.…”

Section: Introductionmentioning

confidence: 99%

Dependence of Thermal Shock Crack on Specimen Width for Ceramic Materials

Yuan

Tian

2016

Int. J. Appl. Mechanics

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Knowledge of size effect of thermal shock properties of ceramics is a prerequisite in engineering applications. In the present study, the size effect of the cracking in the ceramic materials subjected to water quenching has been experimentally conducted. Based on the Rizk model, the equivalent specimen width of the elastic strip with cracks is introduced and modified to describe the effect of cracks on the deformation of the elastic strip underwater quenching. It is found that the simulation obtained from the proposed modified model is in good agreement with the experimental results. And the reasons for the size effect of crack depth and crack growth into the compressive region are well analyzed by theoretical results. The proposed model is expected to provide a powerful tool to characterize and predict the size effect on thermal shock crack of ceramic materials.

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Size effect of thermal shock crack patterns in ceramics and numerical predictions

Cited by 35 publications

References 39 publications

Quantitative law of diffusion induced fracture

Quantitative law of diffusion induced fracture

Fractal characterization of ceramic crack patterns after thermal shocks

Dependence of Thermal Shock Crack on Specimen Width for Ceramic Materials

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