Modified tensile–shear statistical damage constitutive model based on AE clustering for rock and concrete materials under thermal-mechanical loading

Uniaxial compression tests combined with acoustic emission (AE) monitoring were conducted on the sandstone and concrete specimens to measure the physical and mechanical properties and analyze the damage evolution after heating test. A modified thermal-mechanical statistical damage constitutive model was established by K-means++ clustering algorithm for determining the proportion of tensile and shear cracks in AE data and for defining the new tensile and shear mechanical damage factors of the Weibull distribution. This model is verified to be valid by good agreement with the experimental results.