Validity of compliance calibration to cracked concrete beams in bending

Experimental determination of fracture parameters for crack propagation in hardening cement paste and mortar

“…In the past few decades, various fracture models such as the fictitious crack model (Hillerborg et al 1976), the crack band model (Bazant and Oh 1983), the two-parameter model (Jenq and Shah 1985a,b), the size-effect model (Bazant and Kazemi 1990), the effect crack model (Swartz and Go 1984;Swartz and Refai 1987;Nallathambi 1989, 1990), and the double-K fracture model (Xu and Reinhardt 1998, 2000 have been proposed to determine the fracture toughness of concrete materials. Among these, the double-K fracture model describes the complete fracture process of concrete, including crack initiation, steady crack propagation, and unstable fracture.…”

Fracture Mechanics of Concrete – State-of-the-Art Review

“…Another advantage of the size-effect method is that it yields not only the fracture energy of the material but also the effective length of the fracture process zone, from which one can further obtain R curve and the critical effective crack-tip opening displacement. Swartz and Go (1984) proposed that the effective crack length could be estimated at point of instability lying on the descending portion of the P-CMOD curve and at 0.95 of the maximum load (Fig. 2.21).…”

Micromechanics of Size Effect in Failure Due to Distributed Cracking

“…Although some doubts existed, the validity of this method for concrete has recently been confirmed by Swartz and Go (1984) In the cyclic tests, linear ramp load and frequency 0.033 to 0.040 Hz was used. In all the tests, the load minima were zero and the load maxima were constant and equal to 80 % of the monotonic peak load for a specimen of the same size.…”