Assessment of Strength-Probability-Time Relationships in Ceramics

Lenoe, E. M.; Neal, Donald M.

doi:10.21236/ada014153

Cited by 5 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a result, several different exponential crack-velocity formulations that have been previously proposed are based on these factors, which include the presence of a chemically assisted corrosion reaction, 8 diffusion-control rupture, 9 a thermally activated process, 10 a chemical reaction with constant crack-tip configuration, 11 and kinetic crack growth 12 and others. 13 The generalized exponential crack velocity forms thus pro-…”

Section: Exponential Scg Formulationmentioning

confidence: 99%

“…With n thus calculated, n can be evaluated from Eq. (13). The parameter A can be evaluated using Eq.…”

Section: Exponential Scg Formulationmentioning

confidence: 99%

“…However, long‐term life prediction is sensitive to the relation between the slow crack velocity and the stress intensity factor, which depends on many factors itself. As a result, several different exponential crack‐velocity formulations that have been previously proposed are based on these factors, which include the presence of a chemically assisted corrosion reaction, 8 diffusion‐control rupture, 9 a thermally activated process, 10 a chemical reaction with constant crack‐tip configuration, 11 and kinetic crack growth 12 and others 13 . The generalized exponential crack velocity forms thus proposed are where A and n are SCG parameters and are different from those used in the power‐law formulation.…”

Section: Theoretical Backgroundsmentioning

confidence: 99%

See 2 more Smart Citations

Exponential slow crack growth of glass and advanced ceramics—dynamic fatigue

Choi

Nemeth

Gyekenyesi

2005

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

A B S T R A C TThe life prediction analysis based on an exponential crack-velocity formulation was made and examined using a variety of experimental data on glass and advanced structural ceramics in constant stress-rate ('dynamic fatigue') loading at ambient and elevated temperatures. The data fit to the relation of strength versus ln (stress rate) was very reasonable for most of the materials. The major limitation in the exponential crack-velocity formulation, however, was that the inert strength of a material must be known a priori to evaluate the important SCG parameter, n, a significant drawback as compared with the conventional power-law crack-velocity formulation. N O M E N C L A T U R EA = slow-crack-growth parameter defined in Eq. (1) and Eqs (4)-(8) a = crack size B = slow-crack-growth parameter defined in Eq. (3) C = crack size in the normalization scheme defined in Eq. (9) c = critical D = slow-crack-growth parameter defined in Eq. (3) e = exponential crack-velocity formulation f = fracture I = mode I i = inert or initial condition K = stress intensity factor n = slow-crack-growth parameter defined in Eq. (1) and Eqs (4)-(8) r 2 = square of correlation coefficient p = power-law formulation S = strength T = time in the normalization scheme in Eq. (9) t = time v = crack velocity Y = crack geometry factor β = intercept of curve in linear regression analysis in Eq. (12) σ = applied stresṡ σ = applied stress rate χ = slow-crack-growth parameter defined in Eq. (18) * = normalized = apparent (calculated)

show abstract

Section: Exponential Scg Formulationmentioning

confidence: 99%

“…With n thus calculated, n can be evaluated from Eq. (13). The parameter A can be evaluated using Eq.…”

Section: Exponential Scg Formulationmentioning

confidence: 99%

Section: Theoretical Backgroundsmentioning

confidence: 99%

See 1 more Smart Citation

Exponential slow crack growth of glass and advanced ceramics—dynamic fatigue

Choi

Nemeth

Gyekenyesi

2005

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Lawn [ 17 ] described the crack propagation with a second exponential form model derived from the atomistic model. Matthewson et al [ 18 ] analyzed the differences between three common models including the crack growth kinetics regression models [ 19 , 20 ], the model based on the simple chemical kinetics theory [ 21 ] and the atomistic crack growth model [ 17 ]. Moreover, fibers with different defects like subthreshold, post-threshold and macroscopic cracks behave quite dissimilarly and they are not expected to be described with a single subcritical crack growth model on account of residual stress.…”

Section: Introductionmentioning

confidence: 99%

Crack Propagation Calculations for Optical Fibers under Static Bending and Tensile Loads Using Continuum Damage Mechanics

Chen

Cui

Gong

2017

Sensors

View full text Add to dashboard Cite

Static fatigue behavior is the main failure mode of optical fibers applied in sensors. In this paper, a computational framework based on continuum damage mechanics (CDM) is presented to calculate the crack propagation process and failure time of optical fibers subjected to static bending and tensile loads. For this purpose, the static fatigue crack propagation in the glass core of the optical fiber is studied. Combining a finite element method (FEM), we use the continuum damage mechanics for the glass core to calculate the crack propagation path and corresponding failure time. In addition, three factors including bending radius, tensile force and optical fiber diameter are investigated to find their impacts on the crack propagation process and failure time of the optical fiber under concerned situations. Finally, experiments are conducted and the results verify the correctness of the simulation calculation. It is believed that the proposed method could give a straightforward description of the crack propagation path in the inner glass core. Additionally, the predicted crack propagation time of the optical fiber with different factors can provide effective suggestions for improving the long-term usage of optical fibers.

show abstract

Comparison of Static Fatigue SCG Models for Dense Ceramics

Jenkins

Salem

2006

Ceramic Transactions Series

View full text Add to dashboard Cite

Assessment of Strength-Probability-Time Relationships in Ceramics

Cited by 5 publications

References 0 publications

Exponential slow crack growth of glass and advanced ceramics—dynamic fatigue

Exponential slow crack growth of glass and advanced ceramics—dynamic fatigue

Crack Propagation Calculations for Optical Fibers under Static Bending and Tensile Loads Using Continuum Damage Mechanics

Comparison of Static Fatigue SCG Models for Dense Ceramics

Contact Info

Product

Resources

About