Fractal characterization of brittle fracture in ceramics under mode I stress loading

Horovistiz, A.L.; Campos, Kamila Amato de; Shibata, Silvia; Prado, Camila Cristina Silva do; Hein, Luis Rogério de Oliveira

doi:10.1016/j.msea.2010.04.014

Cited by 11 publications

(4 citation statements)

References 13 publications

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“…Alternatively, the morphology and topography of sliding surfaces of polymeric composites could be inspected by the extended depth of focus (EDF) from OM images. This technique consists on acquisition of sequence pictures with a digital camera in an optical microscope with progressive focusing with a regular displacement intervals, and taking the best-focused pixels for each x-y position throughout the entire stack to construct a focused picture to provide a reliable elevation map (15]. This technique has been applied to quantitative fractography and is very well supported by the set of articles developed by Hein et al [14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

3-D reconstruction by extended depth-of-field in tribological analysis: Fractal approach of sliding surface in Polyamide66 with glass fiber reinforcement

2019

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Section: Introductionmentioning

confidence: 99%

3-D reconstruction by extended depth-of-field in tribological analysis: Fractal approach of sliding surface in Polyamide66 with glass fiber reinforcement

2019

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“…Therefore the fractal dimension of fracture is commonly used to describe the roughness of the crack surface [ 28 ]. Previous research in brittle materials found that the fractal dimension of fracture is related to fracture toughness [ 29 , 30 , 31 , 32 , 33 ]. This can be explained as that a larger fracture fractal dimension implies a larger ratio of transgranular or trans-particle fracture, while a smaller fractal dimension implies a larger ratio of intergranular or inter-particle fracture.…”

Section: Discussionmentioning

confidence: 99%

In-Situ X-ray Tomography Observation of Structure Evolution in 1,3,5-Triamino-2,4,6-Trinitrobenzene Based Polymer Bonded Explosive (TATB-PBX) under Thermo-Mechanical Loading

Yuan

Chen

et al. 2018

Materials

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In order to study the fracture behavior and structure evolution of 1,3,5-Triamino-2,4,6-Trinitrobenzene (TATB)-based polymer bonded explosive in thermal-mechanical loading, in-situ studies were performed on X-ray computed tomography system using quasi-static Brazilian test. The experiment temperature was set from −20 °C to 70 °C. Three-dimensional morphology of cracks at different temperatures was obtained through digital image process. The various fracture modes were compared by scanning electron microscopy. Fracture degree and complexity were defined to quantitatively characterize the different types of fractures. Fractal dimension was used to characterize the roughness of the crack surface. The displacement field of particles in polymer bonded explosive (PBX) was used to analyze the interior structure evolution during the process of thermal-mechanical loading. It was found that the brittleness of PBX reduced, the fracture got more tortuous, and the crack surface got smoother as the temperature rose. At lower temperatures, especially lower than glass transition temperature of binders, there were slipping and shear among particles, and particles tended to displace and disperse; while at higher temperatures, especially above the glass transition temperature of binders, there was reorganization of particles and particles tended to merge, disperse, and reduce sizes, rather than displacing.

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“…The pure mode I fracture is a common in-plane open fracture, and the mode I critical stress intensity factor (KIC) is one of the important material properties characterizing material fractures. Extensive experimental research on the mode I fracture of metals [1], ceramics [2], PMMA [3,4] and rock [5][6][7] has been achieved by using different specimen configurations. However, it is necessary to consider mixed-mode fractures, owing to the disordered internal microcracks and the complex stress conditions in practical engineering materials and structures.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Mixed-Mode I/II/III Fracture Toughness Based on a Three-Point Bending Sandstone Specimen with an Inclined Crack

et al. 2021

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The crack-propagation form may appear as an arbitrary mixed-mode fracture in an engineering structure due to an irregular internal crack. It is of great significance to research the mixed-mode fracture of materials with cracks. The coupling effect of multiple variables (crack height ratio, horizontal deflection angle and vertical deflection angle) on fracture parameters such as the stress intensity factors and the T-stress are the key points in this paper. A three-point bending specimen with an inclined crack was proposed and used to conduct mixed-mode fracture research. The fracture parameters were obtained by finite element analysis, and the computed results showed that the pure mode I fracture and mixed-mode fractures (mode I/II, mode I/III and mode I/II/III) can be realized by changing the deflection angles of the crack. The pure mode I and the mixed-mode fracture toughness of sandstone were obtained by a series of mixed-mode fracture experiments. The experimental results were analyzed with the generalized maximum tangential strain energy density factor criterion considering T-stress. The results showed that the non-singular term T-stress in the fracture parameters cannot be ignored in any mixed-mode fracture research, and the generalized maximum tangential strain energy density factor criterion considering T-stress can better predict the mixed-mode fracture toughness than other criteria.

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Fractal characterization of brittle fracture in ceramics under mode I stress loading

Cited by 11 publications

References 13 publications

3-D reconstruction by extended depth-of-field in tribological analysis: Fractal approach of sliding surface in Polyamide66 with glass fiber reinforcement

3-D reconstruction by extended depth-of-field in tribological analysis: Fractal approach of sliding surface in Polyamide66 with glass fiber reinforcement

In-Situ X-ray Tomography Observation of Structure Evolution in 1,3,5-Triamino-2,4,6-Trinitrobenzene Based Polymer Bonded Explosive (TATB-PBX) under Thermo-Mechanical Loading

Analysis of Mixed-Mode I/II/III Fracture Toughness Based on a Three-Point Bending Sandstone Specimen with an Inclined Crack

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