An analytical model for collinear cracks in functionally graded materials with general mechanical properties

Pan, Hongyu; Song, Tianshu; Wang, Zhihai

doi:10.1016/j.compstruct.2015.05.055

Cited by 10 publications

(3 citation statements)

References 28 publications

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“…[13]. The most common methods in the fabrication of ceramic FGMs are spark plasma sintering (SPS) and hot pressing (HP), techniques that enable good sinterability of advanced ceramics [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Fabrication of Al2O3-Nb2O5-LiF-ZrO2 FGMs by SPS method: Microstructural evaluation, dynamic and sintering behaviour

Ribeiro

et al. 2022

PAC

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For the first time, alumina functionally graded materials (FGMs) with additions of niobium oxide, lithium fluoride and zirconia were produced by spark plasma sintering (SPS) and their sintering behaviour and dynamic properties were studied aiming to evaluate possibility of their use as ballistic shielding. Six groups of alumina samples with different layer compositions were produced by SPS at 1400 ?C/5min. The samples were characterized by dilatometry, scanning electron microscopy (SEM) and Hopkinson split bar method. The composition with the zirconia addition exhibited lower shrinkage rates at higher temperatures than the groups without zirconia, which promoted small sample shrinkage, resulting in lower density and higher porosity. The dynamic test showed that the alumina FGMs with layer containing LiF had the highest strain and strain rate values, exhibiting that the presence of continuous gradients in the composition positively affects the ceramic properties. Densification, layer change and cracks propagating through the material layers were also analysed by SEM analyses.

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Section: Introductionmentioning

confidence: 99%

Fabrication of Al2O3-Nb2O5-LiF-ZrO2 FGMs by SPS method: Microstructural evaluation, dynamic and sintering behaviour

Ribeiro

et al. 2022

PAC

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“…2 FGMs have been widely used in high technology fields such as mechanical engineering, civil engineering, marine industry, and nuclear industry. 3,4 FGMs can be divided into two types of functionally graded brittle materials (FGBMs) and functionally graded plastic materials(FGPMs) according to their mechanical properties.…”

Section: Introductionmentioning

confidence: 99%

Influence of pore shape on impact dynamics characteristics of functionally graded brittle materials

Li¹,

Wang²,

Yao³

et al. 2021

The Journal of Strain Analysis for Engineering Design

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Improving the impact energy dissipation capacity of functionally graded brittle materials through pore design will help avoid or delay failure. In order to improve the impact energy dissipation capacity of functionally graded brittle materials, pores with specific shapes can be implanted inside them. The effect of pore shape on the impact properties of functionally graded brittle materials was investigated using a lattice-spring model that can quantitatively represent the mechanical properties of functionally graded brittle materials. The calculated results show that the pores with negative Poisson’s ratio such as inner-concave triangle, fourth-order star, and inner-concave hexagon are easy to collapse under the impact, while the square and square-hexagon pores have the strongest resistance to deformation. For all seven pore shapes, the Hugoniot elastic limit of the samples decreased gradually with increasing porosity, and the Hugoniot elastic limit did not change with the change of piston velocity. The propagation velocity of the deformation wave increases with the piston velocity and the velocity of the particle corresponding to the Hugoniot state behind the deformation wave increases accordingly. The principle that pores can enhance the macroscopic impact energy dissipation capacity of functionally graded brittle material samples revealed in this paper will contribute to the prevention of sample impact failure and provide guidance for the optimal design of impact kinetic properties of samples.

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“…3 Rice and Sih 4 were the first to study an infinite row of periodic and equal collinear interface cracks (PECIC) between two dissimilar isotropic and homogeneous materials. Since the publication of the above research, a variety of articles [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] have presented numerical and analytical data involving an infinite row of PECC in homogeneous materials or an infinite row of PECIC in dissimilar materials. The design handbook by Murakami 7 contains a comprehensive amount of data showing the variation in strain energy release rate (SERR) with respect to the 'crack length'/'periodic interval' width ratio of the aforementioned crack types in homogeneous and dissimilar isotropic bodies in which the equation recommended by Rice and Sih 4 was employed to evaluate the stress intensity factors (SIFs) at the crack tips.…”

Section: Introductionmentioning

confidence: 99%

Analytical stress intensity factors and J_k‐integrals of periodic and collinear interface cracks between dissimilar orthotropic materials

Tafreshi

2020

Fatigue Fract Eng Mat Struct

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This paper introduces an analytical expression for the stress intensity factors at the crack tips of a row of periodic and collinear cracks between infinite dissimilar orthotropic materials. The analytical Jk‐integrals of these traction‐free cracks have been presented for different material combinations, ‘crack length’/‘interval width’ ratios (λ) and various in‐plane loading conditions. Some of the analytical Jk‐integrals have been compared with the numerical values computed using the boundary element crack shape sensitivities which are in good agreement. For any in‐plane loading condition of a bimaterial plate with periodic and collinear interface cracks, the normalised J1‐integral is almost independent of λ, but there is a slight variation in the normalised J2‐integral with respect to λ. This is provided that the normalising factor is the strain energy release rate of a homogeneous plate made from one of the materials with the same ratio of λ and subject to the same loading condition.

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An analytical model for collinear cracks in functionally graded materials with general mechanical properties

Cited by 10 publications

References 28 publications

Fabrication of Al2O3-Nb2O5-LiF-ZrO2 FGMs by SPS method: Microstructural evaluation, dynamic and sintering behaviour

Fabrication of Al2O3-Nb2O5-LiF-ZrO2 FGMs by SPS method: Microstructural evaluation, dynamic and sintering behaviour

Influence of pore shape on impact dynamics characteristics of functionally graded brittle materials

Analytical stress intensity factors and J_k‐integrals of periodic and collinear interface cracks between dissimilar orthotropic materials

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An analytical model for collinear cracks in functionally graded materials with general mechanical properties

Cited by 10 publications

References 28 publications

Fabrication of Al2O3-Nb2O5-LiF-ZrO2 FGMs by SPS method: Microstructural evaluation, dynamic and sintering behaviour

Fabrication of Al2O3-Nb2O5-LiF-ZrO2 FGMs by SPS method: Microstructural evaluation, dynamic and sintering behaviour

Influence of pore shape on impact dynamics characteristics of functionally graded brittle materials

Analytical stress intensity factors and Jk‐integrals of periodic and collinear interface cracks between dissimilar orthotropic materials

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Product

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Analytical stress intensity factors and J_k‐integrals of periodic and collinear interface cracks between dissimilar orthotropic materials