scholarly journals Fatigue Limit Reliability Analysis for Notched Material with Some Kinds of Dense Inhomogeneities Using Fracture Mechanics

2020 ◽  
Author(s):  
Tatsujiro Miyazaki ◽  
Shigeru Hamada ◽  
Hiroshi Noguchi
Keyword(s):  
Fracture Mechanics ◽  
Reliability Analysis ◽  
Fatigue Limit

Fatigue limit: Crack and notch sensitivity by Finite Fracture Mechanics

2020 ◽  
Vol 105 ◽  
pp. 102407 ◽  
Author(s):  
Alberto Sapora ◽  
Pietro Cornetti ◽  
Alberto Campagnolo ◽  
Giovanni Meneghetti
Keyword(s):  
Fracture Mechanics ◽  
Fatigue Limit ◽  
Notch Sensitivity ◽  
Finite Fracture Mechanics

RELIABILITY ANALYSIS OF REINFORCED CONCRETE FLEXURAL ELEMENT ON CRACKING BASED ON FRACTURE MECHANICS

2020 ◽  
pp. 40-44
Author(s):  
S. A. Solov’ev ◽  
O. V. Yarygina
Keyword(s):  
Compressive Strength ◽  
Reinforced Concrete ◽  
Stress Intensity ◽  
Fracture Mechanics ◽  
Reliability Analysis ◽  
Critical Stress ◽  
Intensity Coefficient ◽  
Concrete Compressive Strength ◽  
Concrete Element ◽  
Stress Intensity Coefficient

The article describes a probabilistic approach to the reliability analysis of a flexural reinforced concrete element by the cracking criterion using the provisions of fracture mechanics. Two mathematical models of limit state are proposed for reliability analysis: with the evaluation of the critical stress intensity coefficient directly and through the design concrete compressive strength. On the basis of regression analysis, the relationship between the critical stress intensity coefficient and the design concrete compressive strength is established which can be used in the inspection of reinforced concrete structural elements. The influence of the design concrete compressive strength on the failure (cracking) probability of the flexural reinforced concrete element is analyzed. The numerical example of reliability analysis is given for the reinforced concrete beam by the criterion of cracking. It is noted that the required level of reliability should be set for each structural object individually based on the acceptable risk value using economic and non-economic losses.

Probabilistic Fracture Mechanics Structural Reliability Analysis of Reeled Pipes

2006 ◽  
Author(s):  
Hugo A. Ernst ◽  
Ricardo Schifini ◽  
Richard E. Bravo ◽  
Diego N. Passarella ◽  
Federico Daguerre ◽  
...  
Keyword(s):  
Fracture Mechanics ◽  
Reliability Analysis ◽  
Structural Reliability ◽  
Crack Size ◽  
Probability Of Failure ◽  
Statistical Distribution ◽  
Assessment Procedure ◽  
Statistical Distributions ◽  
Probabilistic Fracture Mechanics ◽  
Structural Reliability Analysis

Structural integrity analyses are used to guarantee the reliability of critical engineering components under certain conditions of interest. In general, the involved parameters have statistical distributions. Choosing a single set of values for the parameters of interest does not show the real statistical distribution of the output parameters. In particular, offshore pipes installation by reeling is a matter of concern due to the severe conditions of the process. Since it is necessary to guarantee the integrity of the pipes, a probabilistic fracture mechanics reliability analysis seems to be the most adequate approach. In this work, a probabilistic fracture mechanics assessment approach to perform the structural reliability analysis of tubes subjected to a reeling process was developed. This procedure takes into account the statistical distributions of the material properties and pipe geometry, using a fracture mechanics approach and the Monte Carlo method. Two-parameter Weibull distributions were used to model the variability of the input parameters. The assessment procedure was implemented as a self-contained executable program. The program outputs are: the statistical distribution of critical crack size, amount of crack extension, final crack size and the cumulative probability of failure for a given crack size. A particular case of interest was studied; a seamless tube - OD 323.9 × wt 14.3 mm, was analyzed. Tolerable defect size limits (defect depth vs. defect length curves) for different probability of failure levels were obtained. A sensitivity analysis was performed; the effect of material fracture toughness and misalignment was studied.

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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