Application of Transitional Finite Element in Linear Elastic Mixed Mode Fracture

1984 ◽  
pp. 317-327
Author(s):  
F. A. Mirza ◽  
P. T. P. Leung
Keyword(s):  
Finite Element ◽  
Mixed Mode ◽  
Mixed Mode Fracture ◽  
Mode Fracture ◽  
Linear Elastic

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.

Experimental and Numerical Investigation of Mixed-Mode Fracture Properties of Woven Laminated Composite

2011 ◽  
Vol 471-472 ◽  
pp. 703-708
Author(s):  
Mohammad Hossein Heydari ◽  
Naghdali Choupani
Keyword(s):  
Fracture Toughness ◽  
Finite Element ◽  
Mixed Mode ◽  
Laminated Composite ◽  
Crack Growth Behavior ◽  
Mixed Mode Fracture ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Mode Fracture ◽  
Insight Into

Delamination is a major problem associated with composite materials that reduce the stiffness of structure used in aerospace, marine and automotive technology. Interlaminar fracture toughness, non dimensional stress intensity factors and delamination crack growth behavior were investigated for carbon fiber (CF)-polyester laminates. All tests were performed with modified version of Arcan specimen. By changing the loading angles in range of 0-90°, mode-I, mode-II and all mixed mode fracture toughness data were obtained. Correction factors were obtained with finite element analysis using Abaqus software. By employing experimentally measured critical loads and the aid of the finite element method, mixed-mode fracture toughness for the composite under consideration determined. The fracture surfaces of the CF-P under different mixed-mode loading conditions were examined by optical and scanning electron microscopy (SEM) to gain insight into the failure responses.

Mixed-Mode Fracture Criteria for Reliability Analysis and Design With Structural Ceramics

1987 ◽  
Vol 109 (3) ◽  
pp. 282-289 ◽  
Author(s):  
D. K. Shetty
Keyword(s):  
Fracture Mechanics ◽  
Reliability Analysis ◽  
Mixed Mode ◽  
Linear Elastic Fracture Mechanics ◽  
Time Dependent ◽  
Mixed Mode Fracture ◽  
Fracture Criteria ◽  
Mode Fracture ◽  
Linear Elastic ◽  
Elastic Fracture

Increasing use of ceramics in structural applications has led to the development of a probabilistic design methodology that combines three elements: linear elastic fracture mechanics theory that relates strengths of ceramics to size, shape, and orientation of critical flaws, a characteristic flaw size distribution function that accounts for the size effect on strength via the weakest-link concept, and a time-dependent strength caused by subcritical crack growth or other mechanisms. This paper reviews recent research that has been focused on the first of the above three elements, the investigation of fracture criteria for arbitrarily oriented flaws in ceramics, i.e., the mixed-mode fracture problem in linear elastic fracture mechanics theory. Experimental results obtained with two-dimensional through cracks and three-dimensional surface (indentation) cracks are summarized and compared to mixed-mode fracture criteria. The effects of material microstructure and the stress state on mixed-mode fractures are discussed. The application of mixed-mode fracture criteria in reliability analysis is illustrated for several simple stress states in the absence of time-dependent strength degradation.

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