The angle criterion

1989 ◽  
Vol 95 (2) ◽  
pp. 437-446 ◽  
Author(s):  
Gary Lawlor
Keyword(s):  
Angle Criterion

Failure Mechanisms of Particulate Two-Phase Composites

1998 ◽  
Vol 529 ◽  
Author(s):  
T. Antretter ◽  
E D. Fischer
Keyword(s):  
Residual Stresses ◽  
Crack Growth ◽  
Opening Angle ◽  
Geometrical Parameters ◽  
Two Phase ◽  
Absolute Size ◽  
The Matrix ◽  
Unit Cells ◽  
Angle Criterion ◽  
Probability Of Fracture

AbstractIn many composites consisting of hard and brittle inclusions embedded in a ductile matrix failure can be attributed to particle cleavage followed by ductile crack growth in the matrix. Both mechanisms are significantly sensitive towards the presence of residual stresses.On the one hand particle failure depends on the stress distribution inside the inclusion, which, in turn, is a function of various geometrical parameters such as the aspect ratio and the position relative to adjacent particles as well as the external load. On the other hand it has been observed that the absolute size of each particle plays a role as well and will, therefore, be taken into account in this work by means of the Weibull theory. Unit cells containing a number of quasi-randomly oriented elliptical inclusions serve as the basis for the finite element calculations. The numerical results are then correlated to the geometrical parameters defining the inclusions. The probability of fracture has been evaluated for a large number of inclusions and plotted versus the particle size. The parameters of the fitting curves to the resulting data points depend on the choice of the Weibull parameters.A crack tip opening angle criterion (CTOA) is used to describe crack growth in the matrix emanating from a broken particle. It turns out that the crack resistance of the matrix largely depends on the distance from an adjacent particle. Residual stresses due to quenching of the material tend to reduce the risk of particle cleavage but promote crack propagation in the matrix.

Chance Single Sampling Plan for Variables

2015 ◽  
Vol 4 (1) ◽  
pp. 43-59 ◽  
Author(s):  
Sampath Sundaram ◽  
Lalitha Singhan Madhavachari ◽  
Ramya Balu
Keyword(s):  
Mean Value ◽  
Sampling Plan ◽  
Sample Sizes ◽  
Chance Theory ◽  
Sampling Plans ◽  
Acceptance Threshold ◽  
Fuzzy Mean ◽  
Single Sampling Plan ◽  
Angle Criterion ◽  
Experimental Values

This paper considers the design of single sampling plan for variables when the experimental values are treated as observations on independently and identically distributed normal random variables with fuzzy mean value. The design makes use of Liu's (2008) model IV of Chance Theory. Sampling Plans determined by the sample sizes and acceptance numbers are constructed for situations involving imprecise parameter on using chance theory. The process of determining sample sizes and acceptance threshold values has been carried out on assuming the observed values have hybrid normal distribution. Optimal chance sampling plans for variables are also determined by using minimum angle criterion for different choices of fuzzy risks.

scholarly journals An algorithm for constructing locally optimal min-max triangulation

1996 ◽  
Vol 54 (1) ◽  
pp. 167-176
Author(s):  
M. Shrivastava
Keyword(s):  
Angle Criterion ◽  
Optimal Triangulation ◽  
Set Of Points

Several interesting criteria for constructing triangulations associated with a given set of points in a plane have been introduced. In order to obtain optimal triangula-tion with respect to the min-max-angle criterion, it is essential to study the nature of neutral cases with respect to the criterion. Our aim in this paper is to establish precise equations for neutral set curves with respect to the min-max-angle criterion and to develop an algorithm to obtain a locally optimal triangulation with respect to the criterion.

Residual Strength Prediction of Aircraft Fuselages Using Crack-Tip Opening Angle Criterion

AIAA Journal ◽  
2002 ◽  
Vol 40 (3) ◽  
pp. 566-575 ◽  
Author(s):  
Chuin-Shan Chen ◽  
Anthony R. Ingraffea ◽  
Paul A. Wawrzynek
Keyword(s):  
Residual Strength ◽  
Crack Tip ◽  
Strength Prediction ◽  
Opening Angle ◽  
Crack Tip Opening Angle ◽  
Angle Criterion ◽  
Crack Tip Opening
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