scholarly journals Crack propagation in quasi-brittle materials by fourth-order phase-field cohesive zone model

2022 ◽  
pp. 103236
Author(s):  
Khuong D. Nguyen ◽  
Cuong-Le Thanh ◽  
Frank Vogel ◽  
H. Nguyen-Xuan ◽  
M. Abdel-Wahab
Keyword(s):  
Crack Propagation ◽  
Fourth Order ◽  
Phase Field ◽  
Cohesive Zone ◽  
Cohesive Zone Model ◽  
Brittle Materials ◽  
Zone Model

Existence and Convergence Questions in Computational Modelling of Crack Growth in Brittle and Quasi-Brittle Materials

2016 ◽  
Vol 258 ◽  
pp. 157-160 ◽  
Author(s):  
Jiří Vala
Keyword(s):  
Crack Growth ◽  
Cohesive Zone ◽  
Cohesive Zone Model ◽  
Computational Modelling ◽  
Brittle Materials ◽  
Zone Model ◽  
Static Tests ◽  
Materials Used ◽  
Proper Analysis

Computational modelling of the crack growth in brittle and quasi-brittle materials used in mechanical, civil, etc. engineering applies the cohesive zone model with various traction separation laws; determination of micro-mechanical parameters comes then from static tests, microscopic observation and numerical calibration. Although most authors refer to ill-possedness and need of artificial regularization in inverse problems (identification of material parameters), some difficulties originate even in nonlinear formulations of direct and sensitivity problems. This paper demonstrates the possibility of proper analysis of the existence of a weak solution and of the convergence of a corresponding numerical algorithm for such model problem, avoiding non-physical assumptions.

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