Approximate linear analysis of concrete fracture by R-curves

Using linear elastic fracture analysis, the energy consumed per unit length of fracture (fracture energy) varies with the crack length, as described by the resistance curve (R‐curve). This concept, originally proposed for metals, is developed here into a practical, applicable form for concrete. The energy release rate is determined by an approximate linear elastic fracture analysis based on a certain equivalent crack length, which differs from the actual crack length, and is solved as part of structural analysis. It is shown that such an analysis, coupled with the R‐curve concept, allows achieving satisfactory fits of the presently existing fracture data obtained with three‐point and four‐point bent specimens. Without the R‐curve, the use of an equivalent crack length in linear analysis is not sufficient to achieve a satisfactory agreement with these data. The existing data can be described equally well with various formulas for the R‐curve, and the material parameters in the formula can vary over a relat...

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