Through theoretical analysis

this paper presents the relationship between fracture energy and energy release rate.According to fracture energy of single-mode crack measured in test research

the correlation analysis between fracture energy of single-mode crack and fracture toughness was carried out and the relationship between fracture energy of single-mode crack and energy release was obtained.In use of numerical simulation

the fracture energy of concretes mixed type crack was acquired.Based on stress intensity factor fracture critical cureve of Type I

Type Ⅱ

Type III

two-dimensional compound（Ⅰ-Ⅱ

Ⅰ-Ⅲ

Ⅱ-Ⅲ）and the critical surface of three-dimensional compound（Ⅰ-Ⅱ-Ⅲ）（i.e.a series of complete K criterion）

the energy release rate of mixed mode crack can be calculated by use of their fracture toughness.Furthermore

the fracture energy of mixed mode crack was gotten

critical curve and critical surface of fracture energy was drawn

so that a series of complete G criterion was established.