• 한국세라믹학회지
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• 제33권5호
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• pp.583-589
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• 1996

In this study a new analytical model which can describe the relationship between the bridging stress and microstructure has beenproposed in order to investigate the microstructural effect on the R-curve behavior in polycrystalline aluminas since the R-curve can be derived via the bridging stress function. In the currently developed model function the distribution of grain size is considered as a microstructural factor in modeling of bridging stress function and thus the bridging stress function including three constants PM, n, and Cx, can be established analytically and quantitatively. The results indicate that the n value is closely related to the grain size distribution thereby providing a reliability of the current model for the bridging stress analysis. Thus this model which explains the correlation of the bridging stress distribution and microstructual parame-ters is useful for the systematic interpretation of microfracture mechanism including the R-curve behavior in polycrystalline aluminas.

• 한국세라믹학회지
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• 제33권5호
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• pp.590-601
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• 1996

This study aims at developing the double cantilever beam (DCB) method in order to calculate the bridging stress distribution in polycrystalline aluminas with different grain sizes. In the already existing DCB methods the measured crack opening displacement (COD) in coarse-grained aluminas deviates generally from the calcula-ted one because of the grain-interface bridging in the crack wake. In the current DBC method developed in the present study the effect of the bridging stress was considered in the DCB analysis. whereas the only effect of applied point-loading at the end of DCB specimen was taken into account in the existing DCB analysis The crack closure due to bridging stress was calculated using the power-law relation and the theoretical model developed in Part I of the present paper as bridging stress function and then compared analytically. The limitations of the current DCB methods such as specimen dimensions applied loads and elastic modulus were discussed in detail to provide a reliability of the newly developed DCB analysis for the bridging stress distribu-tion in polycrystalline aluminas.

• 한국세라믹학회지
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• 제33권5호
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• pp.602-615
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• 1996

The purpose of the present study is to investigate the microstructural effect on the R-curve behavior in three aluminas with different grain size distributions by analyzing the bridging stress distribution. The crack opening displacement (COD) according to the distance behind the stationary crack tip was measured using an in situ SEM fracture method. The measured COD values in the fine-grained alumina agreed well with Wiederhorn's sollution while they deviated from Wiederhorn's solution in the two coarse-grained aluminas because of the increase of the crack closure due to the grain interface bridging in the crack wake. A numerical fitting procedure was conducted by the introduction of the power-law relation and the current theoretical model together with the measured COD's in order to obtain the bridging stress distribution. The results indicated that the bridging stress function and the R-curve computed by the current model were consistent with those computed by the power-law relation providing a reliable evidence for the bridging stress analysis of the current model. The strain-softening exponent in the power-law relation n, was calculated to be in the range from 2 to 3 and was closely related to the grain size distribution. Thus it was concluded from the current theoretical model that the grain size distribution affected greatly the bridging stress distribution thereby resulting in the quantitative analysis of microfracture of polycrystalline aluminas through correlating the local-fracture-cont-rolling microstructure.

• 한국세라믹학회지
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• 제31권12호
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• pp.1449-1458
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• 1994

A new analytical model which can discribe the relationship between the bridging stress and the crack opening displacement was proposed to investigate the microstructural effect on the R-curve behavior in a polycrystalline alumina. The crack opening displacement according to the distance behind the stationary crack tip was measured using in-situ fracture technique in an SEM, and then used for a fitting procedure to obtain the distribution of bridging stress. The current model and an empirical power law relation were introduced into the fitting procedure. The results indicated that the bridging stress function and R-curve computed by the current model were consistent with those computed by the power law relation. The microstructural factor, e.g., the distribution of grain size, was also found to be closely related to the bridging stress. Thus, this model explained well the interaction effect between the distribution of bridging stress and the local-fracture-controlling microstructure, providing important information for the systematic interpretation of microfracture mechanism including R-curve behavior of a monolithic alumina.

• Journal of Information Display
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• 제11권1호
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• pp.33-38
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• 2010

The propagation of cracks was quantitatively analyzed in $Al_2O_3$ ceramic using the mechanoluminescence (ML) of $SrAl_2O_4$:Eu,Dy. The bridging zones behind the crack tip were clearly detected in the crack path of $Al_2O_3$ within a realistic time frame. The magnitudes and shapes of the bridging stress distributions changed with the advancing cracks. They continued to change with the change in the applied load even after the cessation of crack propagation. Effective toughening then commenced, and the applied stress intensity factors dramatically increased up to ~50 MPa $\sqrt{m}$. The expected $K_{Tip}$ values based on the instantaneous bridging stress distributions obtained from the ML observations deviated greatly from those obtained from the measurement using the conventional crack tip lengths; rather, they support the results obtained when bridging tips were used in the quasidynamic crack propagations.

• Computers and Concrete
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• 제7권5호
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• pp.455-468
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• 2010

This paper presents a prediction and simulation method of tensile stress-strain curves of Engineered Cementitious Composites (ECC). For this purpose, the bridging stress and crack opening relations were obtained by the fiber bridging constitutive law which is quantitatively able to consider the fiber distribution characteristics. And then, a multi-linear model is employed for a simplification of the bridging stress and crack opening relation. In addition, to account the variability of material properties, randomly distributed properties drawn from a normal distribution with 95% confidence are assigned to each element which is determined on the basis of crack spacing. To consider the variation of crack spacing, randomly distributed crack spacing is drawn from the probability density function of fiber inclined angle calculated based on sectional image analysis. An equation for calculation of the crack spacing that takes into quantitative consideration the dimensions and fiber distribution was also derived. Subsequently, a series of simulations of ECC tensile stress-strain curves was performed. The simulation results exhibit obvious strain hardening behavior associated with multiple cracking, which correspond well with test results.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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• pp.933-936
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• 2008

모르타르에 2 %이내의 합성섬유를 혼입함으로써 콘크리트의 수십, 수백 배에 달하는 인장변형률 경화거동을 보이는 ECC가 기존 연구에 의해 개발되었으며, ECC를 구조부재에 사용할 경우, 구조물의 성능개선이 매우 커질 것으로 판단된다. 그러나 ECC를 사용한 구조물을 설계할 때 중요한 요인인 ECC의 인장거동 관계 예측에 대해서는 많은 연구가 이루어지지 않았으며, 특히 보다 실제적인 인장거동 관계를 예측하기 위해서는 섬유분산성 등 실제의 균열면응력-변위 곡선을 고려한 연구가 필요하다. 따라서, 이 연구에서는 ECC의 인장거동 관계를 예측할 수 있는 기법을 제시하였다. ECC의 인장거동 예측방법은 초기균열강도, 인장강도, 인장변형률을 구하는 과정으로 구성되는데, 보다 합리적이고 실제적인 ECC의 인장거동 예측을 위하여 균열면응력에서 가교작용에 기여하는 유효섬유의 개수를 섬유의 기울어진 각도와 섬유사이의 간격에 따라 예측하였다. 또한 극한인장변형률 예측을 위하여 화상처리기법을 사용하였다. ECC의 인장실험결과와의 비교를 통하여 예측방법의 타당성을 평가하였다.

• 콘크리트학회논문집
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• 제21권5호
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• pp.541-548
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• 2009

지금까지 ECC의 인장거동 예측에 대한 이론적인 연구는 균열면에서 섬유가 균일하게 분산되어 있다고 가정하고 섬유 가교 곡선을 유도하는 방법으로 수행되었으며, 섬유의 기울어진 각도와 섬유사이의 간격은 섬유 가교 곡선을 예측하는데 큰 영향을 준다. 그러나 이론적으로 유도된 방법은 섬유의 기울어진 각도와 섬유 간격에 따라서 섬유가교 곡선의 형태가 달라지는 것을 모사하지 못하여 실제 섬유 가교 곡선과 차이를 보이며, ECC 인장거동을 예측할 때 큰 오차가 발생할 수 있다. 이 연구에서는 이러한 문제점을 해결하기 위하여 균열면에서 섬유 가교 작용에 기여하는 유효 섬유의 개수를 섬유의 기울어진 각도와 섬유 간격에 따라 고려한 후, 수정된 섬유 가교 곡선을 구하고, 이를 이용하여 보다 합리적인 ECC의 인장거동 예측기법을 제시하였다. 또한, 인장거동 예측에 중요한 변수인 초기 균열 강도, 섬유 가교 곡선에서의 최고 응력과 변위, 인장변형률, 균열간격을 구하기 위한 방법과 절차를 제시하였다. 그리고 예측 방법의 타당성을 평가하기 위하여 수정된 섬유 가교 곡선과 이론적인 섬유 가교 곡선으로 구한 ECC의 인장거동을 실험 결과와 비교하였다. 수정된 섬유 가교 곡선을 사용할 경우, 실험 결과와 잘 일치함을 알 수 있었으며, ECC의 인장거동을 합리적으로 예측할 수 있을 것으로 판단된다.

• 한국분말야금학회:학술대회논문집
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• 한국분말야금학회 1995년도 춘계학술강연 및 발표대회 강연 및 발표논문 초록집
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• pp.37-37
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• 1995

• Journal of Mechanical Science and Technology
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• 제17권11호
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• pp.1659-1664
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• 2003

A cracked plate with a patch bonded on one side was treated with a crack-bridging model using weight function: assuming continuous distribution of springs acting between th crack surfaces, the stress intensity factor of the patched crack was numerically obtained. Especially in the case of a patched crack subjected to residual non-uniform stress, the stress intensity factor was easily with the corresponding approximate weight function. This paper presented the stress intensity factors for a crack partially patched within a finite plate or a patched crack initiated from a notch.