Stochastic model of tensile behavior of strain-hardening cementitious composites (SHCCs)

Tensile behavior is the most unique and important attribute of strain-hardening cementitious composites (SHCCs). However, tensile behavior of SHCCs often exhibits strong variation. This paper presents a micro mechanics-based stochastic model to capture the variability of tensile behavior of SHCCs by considering heterogeneity of material microstructure and by engaging steady-state cracking analysis, strain-hardening criteria, and stress transfer distance to determine the sequential formation of multiple cracking. Results show that the model is able to simulate and capture the variability of tensile properties of SHCCs. Crack width and crack spacing of SHCCs follow lognormal and Weibull distribution, respectively. Variation of fiber strength and fiber volume fraction leads to the most significant change on tensile strain capacity and average crack width of SHCCs. The model may be used to guide ingredients selection and component tailoring for designing new SHCCs with specified tensile properties considering material heterogeneity.