Investigation of the unbiased probabilistic behavior of the fiber-reinforced concrete's elastic moduli using stochastic micromechanical approach

Abstract

<jats:p> The probabilistic behavior of the fiber-reinforced concrete is usually represented by the common probability density functions, which will lead to the biased results. This study aims to develop a stochastic multiphase micromechanical framework with Legendre orthogonal polynomial to investigate the unbiased probabilistic behavior of the fiber-reinforced concrete's moduli. The different phase volume fractions are analytically calculated based on the aggregate grading and the material's effective properties are quantitatively reached by employing the multilevel micromechanical homogenization schemes. The Monte Carlo simulations are adopted to attain the different order moments of fiber-reinforced concrete's effective properties, with which the unbiased probability density functions are reached by using the Legendre orthogonal polynomial approximations and the linear transformations. Numerical examples indicate that the proposed framework is accurate and computationally efficient to characterize the fiber-reinforced concrete's probabilistic behavior. </jats:p>

Effects of high temperature on the mechanical behavior of calcium silicate hydrate under uniaxial tension and compression

“…The molecular simulation obtained in our study illustrates that the residual strength of CÀSÀH grains under tension and compression is between 2 GPa and 10.0 GPa, which are much larger than that of cement paste (2 MPa for the tensile strength and 20 MPa for the compressive strength (Liu et al, 2020;Moradi et al, 2020;Shahrin and Bobko, 2017;Yan et al, 2019;Yang et al, 2020;Zhang et al, 2019;Zhang et al, 2020c). Intriguingly, the residual tensile strength can to some extent grows with temperature and the compressive strength undergoes a slight evolution with temperature except that a decrease for C/S ¼ 1.10 or C/S ¼ 1.33 in the x and y directions but a clear increasing trend for C/S ¼ 1.10, which suggests the failure mechanism of CÀSÀH grains is different from that of cement paste.…”

Continuum damage-healing framework for the hydration induced self-healing of the cementitious composite

“…There are many different constituents in the hydration products, such as the gel matrix, the silicon fume, the calcium hydroxide (CH), the cement clinker and the pores (Chen et al., 2016a, 2016b, 2016c2018a, 2018b). To arrive the hydration products’ properties, the multiscale and multilevel homogenization scheme is employed, which is proved to be effective to arrive the multiphase composite’s properties, including the metal matrix material (Ju and Sun, 1999, 2001), the particle reinforced material (Chen et al., 2015; Ju and Chen, 1994; Zhu et al., 2015), the fiber reinforced material (Jiang et al., 2019; Liu et al., 2020; Yan et al., 2019; Zhang et al., 2019), and the rock (Chen et al., 2016a, 2016b, 2016c; Mousavi et al., 2016).…”

Statistical micromechanical damage model for SH-SFRC under tensile load considering the interfacial slip-softening and matrix spalling effects

“…However, the slip softening effects are not considered in their work (Yan et al, 2019). Meanwhile, the inherent randomness of the material's microstructure is not taken into consideration (Chen et al, 2018(Chen et al, , 2021Kanda et al, 2000;Liu et al, 2020;Lu and Leung, 2016;Wu and Li, 1995), which implies that their model is deterministic in nature (Yan et al, 2019). To address these issues, a statistical micromechanical damage framework is presented for SH-SFRC considering the interfacial slip-softening and the matrix spalling effects.…”