“…The values determined by this method are dependent on the size and shape of the test specimen, as demonstrated and analysed by several authors in the last decades [2–7]. However, it is still regarded as a universal method for determining the fracture energy of concrete [8–10]. Moreover, the reasons for the variability of the RILEM fracture energy of concrete with the size of the ligament area are a subject of ongoing investigations [10–15].…”
Section: Introductionmentioning
confidence: 99%
“…However, it is still regarded as a universal method for determining the fracture energy of concrete [8][9][10]. Moreover, the reasons for the variability of the RILEM fracture energy of concrete with the size of the ligament area are a subject of ongoing investigations [10][11][12][13][14][15].…”
The fracture energy of concrete is an important parameter in the analysis of the mechanical behaviour of concrete structures, so it is considered as a material property. However, the most universal test method for measuring the specific fracture energy of concrete (RILEM work‐of‐fracture) has been a subject of intense debate among researchers. The values have been found to vary with the size and shape of the test specimen. In this study, an experimental comparative analysis of the size‐independent fracture energy obtained by two main methods has been carried out. One of these is based on the local fracture energy model of Hu et al. The second is based on the curtailment of the tail of the P–δ curve by Elices et al. Therefore, the relationship between both methods is highlighted. It is shown that both methods give almost identical results.
“…The values determined by this method are dependent on the size and shape of the test specimen, as demonstrated and analysed by several authors in the last decades [2–7]. However, it is still regarded as a universal method for determining the fracture energy of concrete [8–10]. Moreover, the reasons for the variability of the RILEM fracture energy of concrete with the size of the ligament area are a subject of ongoing investigations [10–15].…”
Section: Introductionmentioning
confidence: 99%
“…However, it is still regarded as a universal method for determining the fracture energy of concrete [8][9][10]. Moreover, the reasons for the variability of the RILEM fracture energy of concrete with the size of the ligament area are a subject of ongoing investigations [10][11][12][13][14][15].…”
The fracture energy of concrete is an important parameter in the analysis of the mechanical behaviour of concrete structures, so it is considered as a material property. However, the most universal test method for measuring the specific fracture energy of concrete (RILEM work‐of‐fracture) has been a subject of intense debate among researchers. The values have been found to vary with the size and shape of the test specimen. In this study, an experimental comparative analysis of the size‐independent fracture energy obtained by two main methods has been carried out. One of these is based on the local fracture energy model of Hu et al. The second is based on the curtailment of the tail of the P–δ curve by Elices et al. Therefore, the relationship between both methods is highlighted. It is shown that both methods give almost identical results.
“…The values determined by the work-of-fracture method as proposed in RILEM recommendation (RILEM 1985) are dependent on the specimen size and shape used in the test, as demonstrated and analyzed by several researchers in the past (Hu and Wittmann 1992;Kwon et al 2008;Muralidhara et al 2011;RILEM 2004;Vydra et al 2012). The two most popular models to obtain a size-independent specific fracture energy of concrete (also called true fracture energy are the boundary effect model of Hu and Wittmann (1992) and the experimental correction model to avoid energy dissipations proposed by Guinea et al Guinea et al 1992;Planas et al 1992).…”
Section: Size Dependency Of the Specific Fracture Energy Of Concretementioning
A new approach for measuring the specific fracture energy of concrete denoted modified disk-shaped compact tension (MDCT) test is presented. The procedure is based on previous ideas regarding the use of compact tension specimens for studying the fracture behavior of concrete but implies significant modifications of the specimen morphology in order to avoid premature failures (such as the breakage of concrete around the pulling load holes). The manufacturing and test performance is improved and simplified, enhancing the reliability of the material characterization. MDCT specimens are particularly suitable when fracture properties of already casted concrete structures are required. To evaluate the applicability of the MDCT test to estimate the size-independent specific fracture energy of concrete (G F ), the interaction between the fracture process zone of concrete and the boundary of the MDCTspecimens at the end of the test is properly analyzed. Further, the experimental results of G F obtained by MDCT tests for normal-and high-strength selfcompacting concrete mixes are compared with those obtained using the well-established three-point bending test. The procedure proposed furnishes promising results, and the G F values obtained are reliable enough for the specimen size range studied in this work.
“…Muralidhara et al [16] pointed out a fictitious boundary effect at the initial notch tip using acoustic emission data recorded from three-point-bending notched concrete beams and presented a tri-linear local fracture energy distribution model which consists of an ascending line from zero at the initial crack-tip, a horizontal line and a descending portion approaching zero at the back free boundary. The tri-linear model has been verified experimentally by other researchers [17,18]. Moreover, the size-independent fracture energy of high strength concrete is determined by the tri-linear model [19,20].…”
Fracture energy, defined as the amount of energy necessary to create one unit area of a crack, is a very important parameter in analyzing the behavior of quasi-brittle materials such as concrete, mortar, rock, et al.. The size-independent fracture energy of concrete and mortar can be obtained according to boundary effect theory. The intention of this paper is to determine the sizeindependent fracture energy of granite by virtue of the peak loads of three-point-bending notched beams. An analytical model was presented to correlate the peak loads with the crack-tip local fracture energy in granite beams. A fracture test was then carried out on granite beams with two depths, i.e., 30 mm and 70 mm. For the beams with depths of 30 mm, the notches are cut with lengths from 3 mm to 18 mm. For the beams with depths of 70 mm, the notch lengths vary from 2 mm to 53 mm. The average value of the maximum tensile stress at the fictitious crack-tip is adopted as 8 MPa. Upon the comparison between the analytically predicted peak loads and the experimentally determined ones, the correlation between the crack-tip local fracture energy and notch length can be obtained. It can be found that the value of crack-tip local fracture energy almost keeps 300 N/m without free boundary effect for the notch lengths from 9 mm to 18 mm in the beams with depths of 30 mm and for the notch lengths from 10 mm to 53 mm in the beams with depths of 70 mm. Thus, the size-independent fracture energy is 300 N/m for this type of granite.
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