Two-Parameter Weibull Distribution Theory Testing Analysis in Fatigue Life of Asphalt Mixture

2011 ◽  
Vol 97-98 ◽  
pp. 45-48 ◽  
Author(s):  
Jie Sun ◽  
Jiang Miao Yu ◽  
Hai Sheng Zhao
Keyword(s):  
Fatigue Life ◽  
Weibull Distribution ◽  
Asphalt Concrete ◽  
Asphalt Mixture ◽  
Distribution Theory ◽  
Life Distribution ◽  
Strong Representation ◽  
Data Source ◽  
Complicated Conditions ◽  
Two Parameter

It has been commonly used normal distribution to describe the fatigue life of asphalt concrete. Because of the variability of the material itself and environmental conditions for test, experimental fatigue life datas obtained show a large discrete. Through a large number of laboratory tests and optimization of the strong representation of the data source, this paper verified distribution of the fatigue life of asphalt concrete in statistical in the use of two-parameter Weibull distribution theory and obtained fatigue life equation by regression under different failure probability.The results showed that: Weibull distribution theory can be used to describe asphalt concrete fatigue life distribution under the complicated conditions in a multi-factor.

Concrete Fatigue Life Characteristics of the Different Survival Rates in the Lateral Pressure Conditions

2012 ◽  
Vol 600 ◽  
pp. 250-255
Author(s):  
Qiang Cai ◽  
Ji Ming Kong ◽  
Ze Fu Chen
Keyword(s):  
Fatigue Life ◽  
Life Stress ◽  
Failure Modes ◽  
Survival Curve ◽  
Survival Rates ◽  
Life Distribution ◽  
Fatigue Design ◽  
Set Up ◽  
Fatigue Equation ◽  
Two Parameter

Under cyclic loading of concrete structures, fatigue failure is the main failure modes of fatigue, which has become the fatigue design of concrete structure must be considered, then the concrete fatigue studies must clarify the fatigue life of concrete under different survival curve S-N curve. Based on the statistics of the two parameter Weibull distribution theory, obtain the concrete under different survival rates of fatigue life distribution, namely to improve survival, reduce the fatigue life; stress level is reduced, the fatigue life is increased; and has set up more than 50% under different survival rates of concrete fatigue equation.

scholarly journals The Effect of Using Sustainable Materials on the Performance-Related Properties of Asphalt Concrete Mixture

2019 ◽  
Vol 5 (12) ◽  
pp. 2727-2737
Author(s):  
Amjad H. Albayati ◽  
Waleed Arrak Turkey
Keyword(s):  
Tensile Strength ◽  
Fatigue Life ◽  
Asphalt Concrete ◽  
Asphalt Mixture ◽  
Concrete Pavements ◽  
Strength Ratio ◽  
Damage Resistance ◽  
Reclaimed Asphalt ◽  
Production Temperature ◽  
Materials Used

Sustainability is very important in this world at this time. One of the best materials used for sustainability in asphalt concrete pavements is the warm mix asphalt (WMA) as well as the reclaimed asphalt pavement (RAP). WMA technology has the ability to reduce production temperature to reduce the fuel usage and emissions. RAP is the old concrete asphalt mixture that is out of service and using it again leads to preservation of the virgin material. This search studied the viability of using WMA with different percentages of RAP (10%, 30%, and 50%) and compared them with control hot mix asphalt (HMA) and WMA. The Marshall properties, Tensile strength ratio (TSR), rut depth and fatigue life were determined in this work. The results showed that the tensile strength ratio (TSR) for HMA was better than that for WMA by 6%, rut depth for HMA was (4.37 mm) lower than that for WMA was (6.5mm), better fatigue life was obtained for WMA was (700 cycle) as compared to HMA was (500 cycle). In case of WMA with RAP (WMA-RAP), when the percentage of RAP increased with WMA, the moisture damage resistance improved by 2.5%, 13.3% and 15.4% for G1, G3 and G5 respectively, also the rutting resistance improved by 34.6%, 48% and 62.3% for G1, G3 and G5 respectively, but deteriorated of fatigue life by 45.8%, 74% and 88.5% for G1, G3 and G5 respectively.

Comparative Study on the Probability Model of the Glass Fiber Reinforced Concrete Beam

2012 ◽  
Vol 174-177 ◽  
pp. 1489-1493
Author(s):  
Zhi Guang Ma ◽  
He Ming Cheng ◽  
Yan Lv
Keyword(s):  
Fatigue Life ◽  
Weibull Distribution ◽  
Glass Fiber ◽  
Concrete Beam ◽  
Volume Fraction ◽  
Probability Model ◽  
Reinforced Concrete Beam ◽  
Fiber Reinforced Concrete ◽  
Probability Models ◽  
Two Parameter

Based on a large number of experiments, two-parameter and three-parameter Weibull distribution probability models have been established to study the flexural fatigue with different kinds of glass fiber contents (0%,0.6%,0.8%,1%) and different stress levels(0.7,0.75,0.8)in this paper. It is the S-N Curve and P-S-N Curve that we have obtained. According to the comparison of two probability models, We can see that the fatigue life of glass fiber concrete beam can preferably obey two-parameter and three-parameter Weibull distribution, but the three-parameter Weibull distribution is so much the better. The fatigue life will augment with the increase of the volume fraction of glass fiber.

Prediction of Fatigue Life of Steel-Slag Asphalt Concrete Based on Four Point Bending Test

2014 ◽  
Vol 599 ◽  
pp. 208-211
Author(s):  
Xin Yan Zhang ◽  
Liang Liang Tu ◽  
Yang Gao ◽  
Shan Li
Keyword(s):  
Fatigue Life ◽  
Asphalt Concrete ◽  
Steel Slag ◽  
Asphalt Mixture ◽  
Bending Test ◽  
Asphalt Pavements ◽  
Comprehensive Investigation ◽  
Moisture Sensitivity ◽  
Four Point Bending ◽  
Four Point Bending Test

Steel slag reserves of our country has reached 200 million tons and each year it will increase 100 million tons. Slag accumulation occupied a large number of enterprises space and made pollution to the environment. Since steel slag based asphalt pavements have been utilized for a certain history, their fatigue life necessitates comprehensive investigation imperatively. In this paper, the fatigue life of steel-slag asphalt mixture was tested through the four-point bending test. The results showed that steel slag prepared mixture was superior to limestone mixture after several freeze-thaws, with respect to moisture sensitivity, and was suitable for asphalt treated base (ATB). The fatigue life of slag asphalt mixture with low content limestone was longer.

scholarly journals Flexural-Fatigue Properties of Sustainable Pervious Concrete Pavement Material Containing Ground Tire Rubber and Silica Fume

2019 ◽  
Vol 11 (16) ◽  
pp. 4467 ◽  
Author(s):  
Hanbing Liu ◽  
Guobao Luo ◽  
Peilei Zhou ◽  
Haibin Wei ◽  
Wenjun Li ◽  
...  
Keyword(s):  
Fatigue Life ◽  
Weibull Distribution ◽  
Silica Fume ◽  
Pervious Concrete ◽  
Likelihood Method ◽  
Tire Rubber ◽  
Ground Tire Rubber ◽  
Survival Probabilities ◽  
Stress Levels ◽  
Two Parameter

With the development of urbanization, pervious concrete has been increasingly used in urban road pavement structures. The objective of this paper was to investigate the effect of stress levels and modifier (ground tire rubber and silica fume) on the fatigue life of pervious concrete and establish the fatigue equations with different survival probabilities. In order to improve the deformability of pervious concrete without sacrificing its strength, ground tire rubber and silica fume were added into pervious concrete. Two kinds of pervious concrete, control pervious concrete and ground tire rubber and silica fume modified pervious concrete, were made in the laboratory. The pervious concrete beam specimens of 100 × 100 × 400 mm were casted, and the static flexural strength and flexural strain of the two kinds of pervious concrete were tested. The fatigue lives of two pervious concretes were tested using MTS fatigue testing machine under four different stress levels (0.85, 0.80, 0.75, and 0.70). The fatigue life was analyzed by two-parameter Weibull distribution. The parameters of Weibull distribution were determined by graphical method, maximum likelihood method and moment method. The Kolmogorov–Smirnov test was used to test the Weibull distribution and the fatigue equations under different survival probabilities were established. The results showed that ground tire rubber and silica fume modified pervious concrete had better deformability while ensuring strength compared to control pervious concrete. The addition of ground tire rubber and silica fume improved the fatigue life of pervious concrete. The two-parameter Weibull distribution was suitable to characterize the fatigue characteristics and predict the fatigue life of pervious concrete. Fatigue equations with different survival probabilities were a good guide for pervious concrete design.

Fatigue Reliability Functions

1989 ◽  
Vol 111 (4) ◽  
pp. 443-455 ◽  
Author(s):  
V. A. Avakov ◽  
R. G. Shomperlen
Keyword(s):  
Distribution Function ◽  
Fatigue Life ◽  
Fatigue Strength ◽  
Fatigue Curve ◽  
Strength Distribution ◽  
Distribution Model ◽  
Fatigue Reliability ◽  
Life Distribution ◽  
Statistical Procedures ◽  
Two Parameter

There are many fatigue test and statistical procedures to establish the life distribution function Q = Q(N) at constant stress (S) level. But the stress distribution function, Q = Q(S), at specified life (N) is more important to the designer, and it remains less developed. Generally, if the fatigue life distribution Q(N) and fatigue curve S(N) equations are defined, the fatigue strength distribution Q(S) is implied. However, it has been shown [4, 6, 7, 9] that any life distribution model Q(N) may be transformed into the complicated strength distribution function Q(S). In this study orthogonal relations have been developed in order to predict complications and to resolve the problem under certain conditions. With the aid of the orthogonal relations strength distributions Q(S) have been deduced using (1) lognormal, (2) two-parameter Weibull, and (3) three-parameter logweibull life models Q(N).

Probability Distribution of Flexural Fatigue Life for Glass Fiber Reinforced Concrete

2013 ◽  
Vol 444-445 ◽  
pp. 1695-1701
Author(s):  
Yan Lv ◽  
He Ming Cheng
Keyword(s):  
Reinforced Concrete ◽  
Fatigue Life ◽  
Weibull Distribution ◽  
Glass Fiber ◽  
Volume Fraction ◽  
Fiber Reinforced Concrete ◽  
Fiber Reinforced ◽  
Fiber Volume ◽  
Glass Fiber Reinforced ◽  
Two Parameter

Through the fatigue experiments of glass fiber reinforced concrete (GFRC) specimens with 0%0.6%0.8% and 1% glass fiber volume fraction, the fatigue-lives of GFRC at various stress levels were obtained. The results indicate that the statistical distribution of fatigue-life of GFRC is in agreement with the two-parameter Weibull distribution. According to the statistical analysis of fatigue-life,the study shows the fatigue life of GFRC follows both the two-parameter Weibull distribution and three-parameter Weibull distribution, but three-parameter Weibull distribution is more suitable for expressing the law. Besides, the S-N curves and P-S-N curves which can be used to determine the life of GFRC under constant amplitude fatigue load were obtained.The results indicate that GFRC has distinguished anti-fatigue property.

scholarly journals Numerical Validation of Two-Parameter Weibull Model for Assessing Failure Fatigue Lives of Laminated Cementitious Composites—Comparative Assessment of Modeling Approaches

Materials ◽  
2018 ◽  
Vol 12 (1) ◽  
pp. 110 ◽  
Author(s):  
Asad Hanif ◽  
Yongjae Kim ◽  
Cheolwoo Park
Keyword(s):  
Fatigue Life ◽  
Weibull Distribution ◽  
Comparative Assessment ◽  
Life Assessment ◽  
Distribution Model ◽  
Cementitious Composites ◽  
Parameter Distribution ◽  
Modeling Approaches ◽  
Fatigue Life Assessment ◽  
Two Parameter

In this paper, comparative assessment of failure fatigue lives of thin laminated cementitious composites (LCCs) modeled by two modeling approaches—double-parameter Weibull distribution model and triple-parameter distribution model—was carried out. LCCs were fabricated of ordinary Portland cement (OPC), fly ash cenosphere (FAC), quartz sand, and reinforcing meshes and fibers. The failure fatigue life assessment at various probabilities by the two-parameter model was based on numerical calculations whereas the three-parameter model was applied by an open source program—ProFatigue®. Respective parameters, shape and scale parameters in the two-parameter Weibull distribution model while shape, scale, and location parameters in three-parameter model were determined, and the corresponding probabilistic fatigue lives at various failure probabilities were calculated. It is concluded that the two-parameter model is more accurate in probabilistic fatigue life assessment of double-layer mesh-reinforced LCCs, whereas for single-layer reinforced LCCs, both models could be used at a fair confidence level.

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