applied fracture mechanics

Fractal Fracture Mechanics Applied to Materials Engineering 83dF ( UV) dLJo .(69)dL dLThe energy balance proposed by Griffith-Irwin-Orowan, for stable fracture, isJoRo .o (70)Therefore, for plane stress or plane strain conditions, one can write from equation (61) that,JdL K 2dLRo e poRo2 f( v)E(71)Thus,Knowing that fracture toughness is given byone has,KRoK2e pE dL .(72)f ( v)dLCoKo2e pE ,(73)f( v)RodL KCo.(74)dLFrom the Classical Fracture Mechanics, the fracture resistance for the loading mode I, isgiven byo L oKIRo Yo fLo,w (75)Lowhere Yo is a function that defines the shape of the specimen (CT, SEBN, etc) and the w type of test (traction, flexion, etc), andL0 0Cfis the fracture stress. Considering the case when L , then K0 K0and the fracture toughness for the loading mode I is given byIRICK Y L L w ocICoo f oc.(76)Therefore, from equation (72) the fracture toughness curve for the loading mode I is givenby