• Title/Summary/Keyword: Griffith Criterion

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A Probabilistic Study on Thickness Effect of Fracture Toughness in Heterogeneous Brittle Materials (불균질 취성재료 파괴인성에 미치는 두께효과의 확률적 연구)

  • Kim, Am-Kee;Koh, Sung-Wi;Jung, Gyoo-Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1356-1362
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    • 1996
  • Fracture toughness of heterogeneous brittle materials such as poly crystalline ceramics used to present the size (thickness) effect as well as statistically distributed results. There is belief that both(size effect and scatter) must be associated with each other. However, no generally accepted theory has been established so far. Using statistical approach, a probabilistic modeling for the fracture toughness which describes the thickness effect was attempted in this paper, Weibull distribution of specific fracture energy(SFE)at local areas and Griffith criterion are applied to the model. In addition, the newly developed model was verified with experimental results of alumina.

A general fracture criterion solely in terms of stress intensity factors (용력 세기인수로만 표기되는 파괴기준 일반식)

  • Lee, Kang Y.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.2
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    • pp.94-100
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    • 1981
  • McClintock 와 Walsh 의 개념을 발전시키므로써 2차와 3차계에서의 열적 기계적 파괴 기준식을 구하였다. Griffith Theory 와 파괴역학에 기초를 두고서 전개된 응력세기 인수로만 표기된 2차와 3차계의 파괴기준식은 동일한 관계식 즉, ( $k_{2}$/ $k_{2c}$ )$^{2}$+ $k_{1}$/ $k_{1c}$ =1로 표시된다는 것을 보였다. 3차계에서 열적 기계적 하중하에서 응역세기 인수에 관한 일반식을 Crack 의 닫힘을 고려하여 유도하였다.

Corrections for effects of biaxial stresses in annealed glass

  • Nurhuda, Ilham;Lam, Nelson T.K.;Gad, Emad F.;Calderone, Ignatius
    • Structural Engineering and Mechanics
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    • v.39 no.3
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    • pp.303-316
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    • 2011
  • Experimental tests have shown that glass exhibits very different strengths when tested under biaxial and uniaxial conditions. This paper presents a study on the effects of biaxial stresses on the notional ultimate strength of glass. The study involved applying the theory of elasticity and finite element analysis of the Griffith flaw in the micro scale. The strain intensity at the tip of the critical flaw is used as the main criterion for defining the limit state of fracture in glass. A simple and robust relationship between the maximum principal stress and the uniaxial stress to cause failure of the same glass specimen has been developed. The relationship has been used for evaluating the strength values of both new and old annealed glass panels. The characteristic strength values determined in accordance with the test results based on 5% of exceedance are compared with provisions in the ASTM standard.

Theoretical explanation of rock splitting based on the micromechanical method

  • Huang, Houxu;Li, Jie;Hao, Yiqing;Dong, Xin
    • Geomechanics and Engineering
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    • v.14 no.3
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    • pp.225-231
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    • 2018
  • In this paper, in order to explain the splitting of cylindrical rock specimen under uniaxial loading, cracks in cylindrical rock specimen are divided into two kinds, the longitudinal crack and the slanting crack. Mechanical behavior of the rock is described by elastic-brittle-plastic model and splitting is assumed to suddenly occur when the uniaxial compressive strength is reached. Expression of the stresses induced by the longitudinal crack in direction perpendicular to the major axis of the crack is deduced by using the Maxwell model. Results show that the induced stress is tensile and can be greater than the tensile strength even before the uniaxial compressive strength is reached. By using the Inglis's formula and simplifying the cracks as slender ellipse, the above conclusions that drawn by using the Maxwell model are confirmed. Compared to shearing fracture, energy consumption of splitting seems to be less, and splitting is most likely to occur when the uniaxial loading is great and quick. Besides, explaining the rock core disking occurred under the fast axial unloading by using the Maxwell model may be helpful for understanding that rock core disking is fundamentally a tensile failure phenomenon.

Ab-initio Study of Hydrogen Permeation though Palladium Membrane (팔라듐 얇은 막의 수소 투과에 대한 제일 원리 계산)

  • Cha, Pil-Ryung;Kim, Jin-You;Seok, Hyun-Kwang;Kim, Yu Chan
    • Korean Journal of Metals and Materials
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    • v.46 no.5
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    • pp.296-303
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    • 2008
  • Hydrogen permeation through dense palladium-based membranes has attracted the attention of many scientists largely due to their unmatched potential as hydrogen-selective membranes for membrane reactor applications. Although it is well known that the permeation mechanism of hydrogen through Pd involves various processes such as dissociative adsorption, transitions to and from the bulk Pd, diffusion within Pd, and recombinative desorption, it is still unclear which process mainly limits hydrogen permeation at a given temperature and hydrogen partial pressure. In this study, we report an all-electron density-functional theory study of hydrogen permeation through Pd membrane (using VASP code). Especially, we focus on the variation of the energy barrier of the penetration process from the surface to the bulk with hydrogen coverage, which means the large reduction of the fracture stress in the brittle crack propagation considering Griffith's criterion. It is also found that the penetration energy barrier from the surface to the bulk largely decreases so that it almost vanishes at the coverage 1.25, which means that the penetration process cannot be the rate determining process.