Phase-field cohesive fracture theory: A unified framework for dissipative systems based on variational inequality of virtual works

2021 ◽  
pp. 104737
Author(s):  
Ye Feng ◽  
Jie Li
Keyword(s):  
Variational Inequality ◽  
Phase Field ◽  
Dissipative Systems ◽  
Unified Framework ◽  
Cohesive Fracture ◽  
Fracture Theory

scholarly journals A phase-field formulation for dynamic cohesive fracture

2019 ◽  
Vol 348 ◽  
pp. 680-711 ◽  
Author(s):  
Rudy J.M. Geelen ◽  
Yingjie Liu ◽  
Tianchen Hu ◽  
Michael R. Tupek ◽  
John E. Dolbow
Keyword(s):  
Phase Field ◽  
Cohesive Fracture

GENERALIZATION OF BARENBLATT'S COHESIVE FRACTURE THEORY FOR FRACTAL CRACKS

Fractals ◽  
2002 ◽  
Vol 10 (02) ◽  
pp. 189-198 ◽  
Author(s):  
ARASH YAVARI
Keyword(s):  
Driving Force ◽  
A Priori ◽  
Stress Singularity ◽  
Local Theory ◽  
Fractal Surface ◽  
Cohesive Fracture ◽  
Fracture Theory ◽  
Griffith’S Theory ◽  
Fractal Crack ◽  
Fractal Cracks

In this paper, we generalize Barenblatt's cohesive fracture theory for fractal cracks. We discuss the difficulties of generalizing the concept of traction on a fractal surface. Borodich's modification of Griffith's theory for fractal cracks is reviewed. Irwin's driving force is generalized for fractal cracks and a fractal driving force (Gf) is defined. It is shown that to generalize Barenblatt's theory for fractal cracks it is necessary to introduce a new quantity, D-fractal cohesive pseudo-stress. This new quantity is cohesive force per unit of a fractal measure. Fractal modulus of cohesion is seen to be a function of both the material and the fractal dimension of the crack. Equivalence of fractal Barenblatt's and Griffith's theories is discussed. It is seen that the order of stress singularity at the tip of a fractal crack cannot be obtained using modified Barenblatt's theory because this theory is a local theory and assumes the order of stress singularity a priori.

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