A Discussion on the Forms of Planar Mixed-Mode Fracture Criteria

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.

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A comment on the mixed-mode fracture criteria: Effect of the micro damage zone around the crack tip

International Journal of Fracture ◽

10.1007/bf00018581 ◽

1996 ◽

Vol 74 (1) ◽

pp. R17-R19 ◽

Cited By ~ 1

Author(s):

Chen Zengtao

Keyword(s):

Mixed Mode ◽

Damage Zone ◽

Crack Tip ◽

Mixed Mode Fracture ◽

Fracture Criteria ◽

Mode Fracture

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Elastic-Plastic Mixed-Mode Fracture Criteria and Parameters

10.1007/978-3-540-45836-4 ◽

2003 ◽

Cited By ~ 22

Author(s):

Valery N. Shlyannikov

Keyword(s):

Mixed Mode ◽

Mixed Mode Fracture ◽

Fracture Criteria ◽

Mode Fracture ◽

Elastic Plastic

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Weakest-link failure prediction for ceramics IV: Application of mixed-mode fracture criteria for multiaxial loading

Journal of the European Ceramic Society ◽

10.1016/0955-2219(92)90125-w ◽

1992 ◽

Vol 10 (2) ◽

pp. 109-114 ◽

Cited By ~ 8

Author(s):

L. Dortmans ◽

G. de With

Keyword(s):

Mixed Mode ◽

Failure Prediction ◽

Mixed Mode Fracture ◽

Link Failure ◽

Multiaxial Loading ◽

Fracture Criteria ◽

Mode Fracture ◽

Weakest Link

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

Journal of Engineering for Gas Turbines and Power ◽

10.1115/1.3240037 ◽

1987 ◽

Vol 109 (3) ◽

pp. 282-289 ◽

Cited By ~ 34

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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