Elastic modulus formulation of cementitious materials incorporating carbon nanotubes: Probabilistic approach

• Probabilistic model is proposed to predict the elastic modulus of cementitious composites containing CNTs. Optimum ranges experimental variables are found using a reliability analysis. Varied combinations can be used attain similar modulus. Similar trend observed between and predicted moduli. Carbon nanotube (CNT) one most promising nanomaterials increase composites. However, CNT characteristics, dispersion procedure, matrix composition/hydration critical correlated with high degree uncertainty in achieving desirable performance. This paper proposes mechanics-based reinforced materials based on Halpin-Tsai equation. The current study employs probabilistic approach consider influences multiple various sources associated them. To this end, first, Bayesian methodology adopted perform validation, evaluation, selection procedures extensive literature test data. Then, optimum maximize chance certain target (herein, 50% more than control) suggests that highest achieved when aspect ratio from 400 800 concentration 0.08 0.18 c-wt %. Also, experimentally exhibit trend. For example, importance hydration age increases as increases.Finally, reliably modulus, guiding future researchers design efficiently.