Abstract: The fatigue propagation and final rupture regions in metallic material are investigated. The mathematical models between stress change range and critical flaw length, fatigue life-span and critical flaw length are discussed. The physical and mathematical model of radiate rays on fatigue final rupture regions is analyzed. The characters and controlling factor of fatigue final rupture and symmetry nature of the final rupture region are researched. Some active results are obtained. The foundation of fatigue macrofractography quantitative analysis for metallic materials is provided.

Key words: metallic material, fat igue p ropagat ion region, fat igue final rup ture region, physical andmathemat icalmodels