A statistical theory of transgranular brittle fracture for metals

A statistical theory of transgranular brittle fracture for metals is discus sed. According to the continuum model of interface energy describing the in teraction between transgranular brittle crack and grain boundaries and none quilibrium statistical theory of fracture, the crack growth rate, fracture strength, fracture toughness, brittle-ductile transition temperature and th eir statistical distribution functions changing with grain size and interfa ce energy are derived in a unified theory.