Abstract: Based on microcrack evolution equation and combined with the microcrack growth rale and the nuclealion rale obtained from microscopic mechanism and the principle of the minimum strength,the microcrack distribution function, fracture probabilily, reliability, failure rate, kinetic equation of damage-fracture, statistical distribution function and statistical average value of various fracture-related macromechanical quantities such as strength, toughness and life etc arc derived in a unified fashion. This the...