رابطه سازي يك جز سه پهلو با ترك كشسان - مومسان

Formulating a Triangular Element with Elasto - Plastic Crack

Cracking increases the flexibility and displacement of structures. This paper introduces a triangular element with internal crack considering the increase in flexibility of the element. First, Relationship between strain energy release rate and stress intensity factor by fracture mechanic approach is used to calculated energy released by the crack. Then, additional flexibility matrix is obtained in the independent system. This matrix is added to the compliance matrix of a non-cracked element. Finally, Stiffness matrix is calculated by compliance matrix and transformation matrix for the plane problem. Stiffness matrix obtained with this approach includes the decreasing effect of stiffness due to cracking.