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Determining the double‐ K fracture parameters for three‐point bending notched concrete beams using weight function
Author(s) -
KUMAR SHAILENDRA,
BARAI S. V.
Publication year - 2010
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.2010.01477.x
Subject(s) - weight function , fracture toughness , fracture (geology) , singularity , point (geometry) , materials science , enhanced data rates for gsm evolution , bending , structural engineering , beam (structure) , function (biology) , mathematical analysis , three point flexural test , boundary value problem , mathematics , green's function , geometry , composite material , engineering , telecommunications , evolutionary biology , biology
Parameters of universal form of weight functions having four terms and five terms are derived for edge cracks in finite width of plate. The standard Tada Green's function is taken as the basis for the derivation. The shape of universal form of weight functions considered enables closed form expressions for cohesive toughness of three‐point bending test geometry of notched concrete beams due to linear cohesive stress distribution in the fictitious fracture zone. This solution provides a viable method to determine the double‐ K fracture parameters: the initiation toughness, and the unstable toughness for mode I fracture of concrete beam. A comparison with existing analytical method shows that the weight function method for determination of the double‐ K fracture parameters yields results without any appreciable error. The use of weight function will not only simplify the calculation to obtain the double‐ K fracture parameters, and but also it will avoid the need of skilled numerical integration technique due to singularity problem at the integral boundary.