Fracture Parameters and Post-Peak Behavior Evaluation under LEFM on Bonded Cement-Based Materials

2006 ◽  
Vol 324-325 ◽  
pp. 587-590
Author(s):  
Cheol Woo Park ◽  
David A. Lange

Fracture of bonded cement based materials is complicated due to not only bonding itself but also heterogeneous genuine nature of cement-based materials. This study investigates the fracture parameters that obtained from the mechanical fracture tests and the post-peak behavior of bonded cement-based materials. Fracture parameters were analyzed such as the critical stress intensity factor, the critical crack length and the critical crack tip opening displacement. In addition, this study defines a new fracture parameter, the critical crack opening angle, which describes a crack opening resistance. In order to evaluate the fracture energy of quasi-brittle materials, it is typical to use the non-linear elastic fracture mechanics approaches. From the test results, however, it is known that the toughening action at the fracture process zone of the bonded interface has been significantly diminished because of the brittle fracture and the pre-determined weak crack path. Therefore, the post-peak behavior could be successfully estimated by using the suggested model that considered only the elastic deformations.

2011 ◽  
Vol 261-263 ◽  
pp. 707-711
Author(s):  
Li Jun Shi ◽  
Li Zhong Jiang ◽  
Bang Cheng Yang

The performance research of Friction Stir Weld’s Joints of Aluminum Alloy under different welding parameters is very necessary and valuable in the engineering. Two points is proposed in this paper. One is the new fracture criterion using the function curve of the value of critical crack opening displacement (|CODc|) as a fracture parameter, the other is using critical crack opening angle (CTOA) as a fracture parameter.


2010 ◽  
Vol 36 ◽  
pp. 157-161 ◽  
Author(s):  
Tin Gyi Zhang ◽  
Yuan Bao Leng ◽  
Dan Ying Gao

Based on the principle of electrical measurement method, the clip gauge was made to measure the crack opening displacement (COD).Through the three-point bending test on the specimens of steel fiber reinforced high strength concrete (SFHSC), the effect of the fiber volume fraction (ρf) upon the critical crack opening displacement (the critical crack tip opening displacement and the critical crack mouth opening displacement) was studied. The result shows that the effect of ρf on mouth-tip ratio (the ratio of critical crack mouth opening displacement to critical crack tip opening displacement) can reflect its effect upon the critical crack opening displacement. According to the geometrical relationship between the initial crack length and the critical crack opening displacement,calculation method for the initial crack length was proposed. Based on the test result, the formula was established for calculating the critical crack tip opening displacement.


Author(s):  
E. Smith

The relative displacement of the crack faces and the tensile stress ahead of a Mode I elastic crack tip can be expressed, in the immediate vicinity of the tip, by two-term power series expansions, the two terms being associated with the stress intensity factor KI and a dimensionless parameter g0. These parameters feature prominently in cohesive process zone models of a crack tip with regard to the crack tip opening displacement vT, process zone size s, the crack opening area A and the effective opening area AD of the process zone. This paper shows that KI and g0 depend upon each other via a relation which is dependent upon the geometrical configuration but is independent of the configuration’s loading pattern.


2020 ◽  
Vol 309 ◽  
pp. 73-79
Author(s):  
Hana Šimonová ◽  
Ivana Kumpová ◽  
Iva Rozsypalová ◽  
Patrik Bayer ◽  
Petr Frantik ◽  
...  

This paper deals with selected alkali-activated aluminosilicate composites with a ceramic precursor in terms of their characterization using mechanical fracture parameters. Three composites were studied. They were manufactured using brick powder as a precursor and an alkaline activator with a dimensionless silicate modulus of Ms = 1.0, 1.2 and 1.4. The test specimens were nominally 40 × 40 × 160 mm in size and had a central edge notch with a depth of 1/3 of the specimen’s height. At least 6 specimens made of each composite were tested at the age of 28 days. The specimens were subjected to three-point bending tests, during which diagrams showing force vs. deflection at midspan (F–d diagrams) and force vs. crack mouth opening displacement (F–CMOD diagrams) were recorded. After the processing of these diagrams, values were determined for the static modulus of elasticity, effective fracture toughness (including its initiation component from the analysis of the first part of the F–CMOD diagrams), effective toughness and specific fracture energy using the effective crack model, Work-of-Fracture method, and Double-K fracture model. After the fracture experiments had been performed, compressive strength values were determined for informational purposes from one part of each specimen that remained after testing. In order to obtain visual information about the internal structure of the composites before and after the mechanical testing, the selected specimen was examined via X-ray microtomography. Tomographic measurements and image processing were performed for the qualitative and quantitative evaluation of internal structural changes with an emphasis on the calculation of porosimetry parameters as well as the visualization of the fracture process zone. The fractal dimension of the fracture surface and fracture process zone was determined. The porosity and microstructure images of selected samples taken from specimens were assessed.


2015 ◽  
Vol 21 (5) ◽  
pp. 559-570 ◽  
Author(s):  
Sepehr Ghafari ◽  
Fereidoon Nejad Moghadas

Fracture properties and crack propagation characteristics of asphalt concrete mixtures were studied by obtaining fracture resistance curves using three point single edge SE(B) notched beam specimens. Elastic-plastic approach is used in the calculation of the J-integral since the fracture process zone size is large enough to not use a linear elastic approach. Crack length measurements were obtained directly from high resolution images taken during the tests. A rising R-curve was observed in all the specimens which indicates ductility and a toughening mechanism in the ductile to quasi-brittle fracture of the mixture. Mixtures developed by limestone and siliceous aggregates with 4%, 4.5% and 5% binder contents were tested at temperatures ranging from +5ºC to –20ºC. Mixtures with 5% binder content showed greater crack resistant behavior at each temperature. Crack lengths at which crack propagation instability occurred were decreased by the reduction of temperature. A significant drop of this critical crack length is observed in temperatures below –15ºC. As well, the elastic-plastic fracture toughness is increased by the reduction of temperature up to –15ºC and starts to diminish thereafter.


Author(s):  
E. Smith

An earlier paper (Part I) has shown how key parameters associated with the uniform stress process zone model of a crack: crack tip opening displacement, process zone size, crack opening area and the effective opening area of the process zone, depend upon parameters that are associated with the relevant terms in the expansion of the expression, for the purely elastic situation, for the relative displacement of the crack faces or the stress ahead of an elastic crack. The earlier paper focussed upon the case where the non-linear (with regards to applied stress) contributions to the crack-process zone parameters were determined to the first two terms in increasing powers of the applied loading stress parameter. These terms depend upon the first two terms in the expressions for the crack face relative displacement on the stress ahead of the crack in the elastic situation. The first of these terms is related to the stress intensity factor. In this paper we show how the parameter g0, which defines the second term, can be determined for some idealised situations.


Author(s):  
Pijush Samui

This article employs Relevance Vector Machine (RVM) for prediction of two fracture parameters {Critical Stress Intensity Factorand Critical Crack Tip Opening Displacement (CTODc)} of concrete. Input variables of the RVM model are water-cement ratio (), maximum size of aggregate () and characteristic strength (). The developed RVM gives equations for prediction of and CTODc. A comparative study has been presented between the developed RVM and the ANN models. A sensitivity analysis has been done to determine the effect of each input parameter on the predicted and CTODc. This article shows that the developed RVM can be used as an efficient tool for determination of and CTODc.


Author(s):  
К.А. Молоков ◽  
А.И. Мамонтов ◽  
В.В. Новиков ◽  
А.П. Герман

Возникновение и распространение трещин в судовых конструкциях во многом зависит от напряженного состояния элементов связей, характера действующих нагрузок и структурной поврежденности металла. Поэтому важным является установление аналитических зависимостей, позволяющих непосредственно, по данным структуры металла и механическим характеристикам, определить критические размеры макротрещины для нагрузок, соответствующих пределу выносливости. В статье приводятся примеры трещинообразования в конструкциях судов, статистика появления подобных повреждений, анализируются существующие представления и подходы к решению обозначенной проблемы. Исследованиями авторов установлено, что начальная стадия образования повреждений при циклических нагрузках провоцируется, как правило, концентрацией напряжений в связях при деградации механических свойств и структуры металла. Фрагментация структуры под циклическими нагрузками резко снижает пластичность области, примыкающей к вершине развивающейся макротрещины. Накопление односторонних пластических деформаций приводит к предельному состоянию пластичности этой области и лавинообразному, или ускоренному движению трещины. Установлено, что эта критическая область имеет взаимосвязь с диаметром зерна металла, характеристикой пластичности и критическим раскрытием трещины в ее вершине на пределе выносливости. На базе структурно-деформационного анализа и линейной механики разрушения разработана инженерная методика расчета ресурса. Получена простая аналитическая зависимость, позволяющая оценить критический размер макротрещины для феррито-перлитных сталей без использования известной Гриффитсовойформулы. Возможность количественной оценки критической длины трещины на пределе выносливости имеет ключевое значение для построения инженерных методик, позволяющих вести расчет ресурса конструкций объектов морской техники. The occurrence and propagation of cracks in ship structures largely depends on the stress state of the communication elements, the nature of the existing loads and the structural damage of the metal. Therefore, it is important to establish analytical relationships that allow, directly, according to the metal structure and mechanical characteristics, to determine the critical dimensions of macrocracks for loads corresponding to the endurance limit. The article provides examples of crack formation in ship structures, statistics on the occurrence of such damage, analyzes existing ideas and approaches to solving this problem. The authors found that the initial stage of damage formation under cyclic loads is provoked, as a rule, by the concentration of stresses in the bonds during the degradation of the mechanical properties and structure of the metal. Fragmentation of the structure under cyclic loads dramatically reduces the ductility of the area adjacent to the top of the developing macrocracks. The accumulation of one-sided plastic deformations leads to a limiting state of plasticity of this region and an avalanche-like or accelerated crack motion. It has been established that this critical region is interconnected with the grain diameter of the metal, the ductility characteristic, and the critical crack opening at its apex at the endurance limit. Based on structural-deformation analysis and linear fracture mechanics, an engineering methodology for calculating the resource has been developed. A simple analytical dependence is obtained, which allows one to estimate the critical size of macrocracks for ferritic-pearlitic steels without using the well-known Griffith formula. The ability to quantify the critical crack length at the endurance limit is of key importance for constructing engineering methods that allow calculating the resource of structures of marine equipment.


Author(s):  
Zhanqiao Wang ◽  
Jin Gou ◽  
Danying Gao

Abstract: This study was aimed to determine the influence of the volume fraction of steel fibers and on fracture parameters of concrete. Fifty notched steel fiber reinforced concrete (SFRC) beams and ordinary concrete beams with dimensions of 100mm×100mm×515mm were cast and tested via three-point bending test. Among them, the type of steel fiber is milling type (MF), and the volume fraction of steel fiber added is 0%, 0.5%, 0.5%, 1.5%, 1.5%, 2%, respectively. The effects of the steel fiber volume fraction (VF) on the critical stress intensity factor (KIC), fracture energy (GF), the deflection at failure(δ0), the critical crack mouth opening displacement (CMODC) and the critical crack tip opening displacement (CTODC)were studied. Through the analysis of test phenomena and test data such as load-deflection (P-δ) curve, load-crack mouth opening displacement (P-CMOD) curve and load-crack tip opening displacement (P-CTOD) curve following conclusions are drawn: With the increase of steel fiber volume fraction, some fracture parameters increase gradually and maintain a certain linear growth. The gain ratio of fracture parameters increases significantly, and the gain effect is obvious. Through this law of growth, the experimental statistical formulas of fracture energy and critical stress intensity factor are summarized.


Materials ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 129
Author(s):  
Zhanqiao Wang ◽  
Jin Gou ◽  
Danying Gao

This study aimed to determine the influence of the volume fraction of steel fibers on the fracture parameters of concrete. Fifty notched steel-fiber-reinforced concrete (SFRC) beams and ordinary concrete beams with 100 mm × 100 mm × 515 mm were cast and tested via a three-point bending test. Among them, the type of steel fiber was the milling type (MF), and the volume fraction of steel fiber added was 0%, 0.5%, 1%, 1.5% and 2%, respectively. The effects of the steel fiber volume fraction (VF) on the critical stress intensity factor (KIC), fracture energy (GF), the deflection at failure(δ0), the critical crack mouth opening displacement (CMODC) and the critical crack tip opening displacement (CTODC) were studied. Through the analysis of test phenomena and test data such as the load-deflection (P-δ) curve, load-crack mouth opening displacement (P-CMOD) curve and load-crack tip opening displacement (P-CTOD) curve, the following conclusions are drawn: with the increase of the steel fiber volume fraction, some fracture parameters increase gradually and maintain a certain linear growth. The gain ratio of the fracture parameters increases significantly, and the gain effect is obvious. Through this law of growth, the experimental statistical formulas of fracture energy and the critical stress intensity factor are summarized.


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