A non-local approach to crack process modeling in ceramic materials subjected to thermal shock

Li, Jia; Song, Fan; Jiang, Chunxiang

doi:10.1016/j.engfracmech.2014.11.007

Cited by 36 publications

(18 citation statements)

References 58 publications

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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%

“…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. Contemporaneity, Li presented a numerical simulation method on the cracking process of ceramic materials, based on a non‐local approach to fracture modeling and its finite element implementation. All the simulations mentioned above consider the two‐dimensional (2D) structures and plane stress.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 86%

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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“…Herein the element elimination technique (Li et al, 2015) is used for the sake of simplicity. We find all elements in interception with the predicted crack paths, and then remove them from the finite element model.…”

Section: Crack Trackingmentioning

confidence: 99%

Numerical implementation of the coupled criterion for damaged materials

Leguillon

Martín

et al. 2019

International Journal of Solids and Structures

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In this work, we present a numerical model to deal with the fracture of damaged materials within the framework of the finite fracture mechanics (FFM). Continuum damage mechanics combined with the regularization techniques is first applied to determine the damage field. The transition from continuous damage field to discontinuous crack occurs when the coupled criterion (CC) is fulfilled. Special numerical algorithms were developed in crack path tracking and crack creation for the analysis of the entire failure process from damage development to crack creation.Both initiation and growth of one or multiple cracks can reasonably be simulated and efficiency and accuracy of the approach are illustrated through several numerical examples.

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“…For example, Tang et al developed a mesostructure‐based damage model based on rock failure process analysis (RFPA) to simulate the thermal cracking behavior of ceramics. Jiang et al and Li et al investigated the formation mechanism of crack patterns in ceramics subjected to thermal shock based on the finite element method (FEM). Zhang et al studied the thermal shock analysis of 2D cracked solids using the numerical manifold method (NMM) and precise time integration.…”

Section: Introductionmentioning

confidence: 99%

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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Summary A simple three‐dimensional heat transfer model is developed to consider the hindering effect of cracks on heat transfer. The 3D heat transfer model can also be applied to numerical methods such as the combined finite‐discrete element method (FDEM), discrete element method (DEM), discontinuous deformation analysis (DDA), the numerical manifold method (NMM), and the finite element method (FEM) to construct thermo‐mechanical coupling models that allow these methods to solve thermal cracking problems and dynamically consider the hindering effect of cracks on heat transfer. In the 3D heat transfer model, the continuous‐discontinuous medium is discretized into independent tetrahedral elements, and joint elements are inserted between adjacent tetrahedral elements. Heat transfer calculations for continuous‐discontinuous media are converted to heat conduction in tetrahedral elements and the heat exchange between the adjacent tetrahedral elements through the joint element. If the joint element between adjacent tetrahedral elements breaks (ie, a crack generates), the heat exchange coefficient of the joint element is reduced to account for the hindering effect of cracks on heat conduction. Then the model and the FDEM are combined to build a thermo‐mechanical coupling model to simulate thermal cracking. The thermally induced deformation, stress, and cracking are investigated by the thermo‐mechanical coupling model, and the numerical results are compared with analytical solutions or experimental results. The 3D heat transfer model and thermo‐mechanical model can provide a powerful tool for simulating heat transfer and thermal cracking in a continuous‐discontinuous medium.

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A non-local approach to crack process modeling in ceramic materials subjected to thermal shock

Cited by 36 publications

References 58 publications

Fractal characterization of ceramic crack patterns after thermal shocks

Fractal characterization of ceramic crack patterns after thermal shocks

Numerical implementation of the coupled criterion for damaged materials

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

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