A Finite-Element Alternating Method for a Cost-Effective Determination of Weight-Function and S. I. F.’s for Multiple Cracks in Mixed-Mode Fracture

1988 ◽  
pp. 312-317 ◽  
Author(s):  
K-L. Chen ◽  
S. N. Atluri
Keyword(s):  
Finite Element ◽  
Weight Function ◽  
Mixed Mode ◽  
Cost Effective ◽  
Multiple Cracks ◽  
Mixed Mode Fracture ◽  
Mode Fracture ◽  
Alternating Method

Complex-Variable Finite-Element Method for Mixed Mode Fracture and Interface Cracks

AIAA Journal ◽  
2018 ◽  
Vol 56 (11) ◽  
pp. 4632-4637
Author(s):  
Daniel Ramirez Tamayo ◽  
Arturo Montoya ◽  
Harry Millwater
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Complex Variable ◽  
Mixed Mode ◽  
Mixed Mode Fracture ◽  
Interface Cracks ◽  
Mode Fracture ◽  
Element Method

Comparison of mixed mode fracture criteria in finite element analysis for matrix crack density estimation of laminated composites

2020 ◽  
Vol 55 (2) ◽  
pp. 277-289
Author(s):  
Mingqing Yuan ◽  
Haitao Zhao ◽  
Li Tian ◽  
Boming Zhang ◽  
Yanzhi Yang ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Density Estimation ◽  
Mixed Mode ◽  
Crack Density ◽  
Mode I ◽  
Mixed Mode Fracture ◽  
Fracture Criteria ◽  
Element Analysis ◽  
Mode Fracture

A mixed mode crack density estimation method based on the finite element analysis (FEA) for laminated composites is proposed and verified in this paper. The damaged properties of cracked ply are obtained using semi-analytical micro-mechanical method for the first time. The piecewise functions of the mode I and mode II energy release rates involving crack density are given based on Griffith’s energy principle and discrete damage mechanics (DDM). Any mixed mode fracture criteria could be simply applied to the FEA of the structure to calculate the initiation and evolution of the micro-cracks in the laminate. Mode I criterion, power law and B-K criterion are applied in the numerical examples to compare their performances in the crack density estimation. It has been concluded that the accuracy of the fracture toughness is more important than the choice of fracture criterion in crack density estimation.

The Mixed-Mode Fracture Analysis of Multiple Embedded Cracks in a Semi-Infinite Plane by an Analytical Alternating Method

2002 ◽  
Vol 124 (4) ◽  
pp. 446-456 ◽  
Author(s):  
Chih-Yi Chang ◽  
Chien-Ching Ma
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Fundamental Solutions ◽  
Multiple Cracks ◽  
Mixed Mode Fracture ◽  
Infinite Plane ◽  
Intensity Factors ◽  
Alternating Method ◽  
Mode Stress

An efficient analytical alternating method is developed in this paper to evaluate the mixed-mode stress intensity factors of embedded multiple cracks in a semi-infinite plane. Analytical solutions of a semi-infinite plane subjected to a point force applied on the boundary, and a finite crack in an infinite plane subjected to a pair of point forces applied on the crack faces are referred to as fundamental solutions. The Gauss integrations based on these point load fundamental solutions can precisely simulate the conditions of arbitrarily distributed loads. By using these fundamental solutions in conjunction with the analytical alternating technique, the mixed-mode stress intensity factors of embedded multiple cracks in a semi-infinite plane are evaluated. The numerical results of some reduced problems are compared with available results in the literature and excellent agreements are obtained.

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