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2 Journal of Theoretical and Applied Mechanics

2 2019

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Research on one-dimensional ubiquitiformal constitutive relations for a bimaterial bar

Yang Min, Ou Zhuo-Cheng, Duan Zhuo-Ping, Huang Feng-Lei

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 2

291--301

A one-dimensional ubiquitiformal constitutive model for a bimaterial bar is proposed in this paper. An explicit analytical expression for the effective Young modulus is then obtained, which, unlike the fractal one, leads to a continuous displacement distribution along the bar. Moreover, numerical results for concretes are calculated and found to be in agreement with previous experimental data. In addition, some previous empirical and semi-empirical constitutive models are also examined, which shows that each of these models can correspond well to a ubiquitiformal one under a certain complexity.

A stereological ubiquitiformal softening model for concrete

Ou Zhuo-Cheng, Li Guan-Ying, Duan Zhuo-Ping, Huang Feng-Lei

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 1

27--35

A stereological ubiquitiformal softening model for describing the softening behavior of concrete 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.