Journal of Theoretical
and Applied Mechanics

57, 1, pp. 27-35, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.27

A stereological ubiquitiformal softening model for concrete

Zhuo-Cheng Ou, Guan-Ying Li, Zhuo-Ping Duan, Feng-Lei Huang
A stereological ubiquitiformal softening model for describing the softening behavior of con-
crete under quasi-static uniaxial tensile loadings is presented in this paper. In the model,
both the damage evaluation process of fracture cross-sections and their distribution along
the specimens axis are taken into account. The numerical results of a certain kind of full
grade concrete made of crushed coarse aggregate are found to be in good agreement with
the experimental data. Moreover, an experiental relation between the lower bound to the
scale invariance of concrete and its tensile strength is also obtained by data fitting of the
experimental data, which provides an effective approach to determine the lower bound to
scale invariance of concrete.
Keywords: ubiquitiform, fractal, concrete, softening curve


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