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ARTICLE
The relationship between double-K parameters of concrete based on fracture extreme theory
| 1 | School of Civil and Transportation Engineering, Hebei University of Technology, Tianjin |
| 2 | School of Civil and Environmental Engineering, UNSW Sydney |
Submission date: 2019-03-26
Acceptance date: 2019-06-27
Online publication date: 2020-01-15
Publication date: 2020-01-15
Journal of Theoretical and Applied Mechanics 2020;58(1):59–71
KEYWORDS
initial fracture toughnessunstable fracture toughnesstheoretical relationshipsimplified extreme methodsoftening function
ABSTRACT
The theoretical relationship between the initial fracture toughness and unstable fracture
toughness in the double-K model was established based on fracture extreme theory. Using
this relationship, the initial fracture toughness and unstable fracture toughness can be ob-
tained from each other without experimental measurement. The values of unstable fracture
toughness of three-point bending concrete beams were calculated with the input of initial
fracture toughness. The calculation was simplified by using the weight function method.
The calculated results were compared with those obtained by the double-K method. It is
shown that the results obtained from these two methods show a good agreement. Unstable
fracture toughness is affected by tensile strength and specimen size whereas unaffected by
the ratio of initial crack length to depth. In addition, the softening function was found to
have a negligible influence on the calculated result by a theoretical relationship.
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