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Weibull modulus and fracture strength of highly porous hydroxyapatite

Journal of the Mechanical Behavior of Biomedical Materials, 2013
Porous hydroxyapatite (HA) is used in a variety of applications including biomedical materials such as engineered bone materials and microbe filters. Despite the utility of the Weibull modulus, m, as a gauge of the mechanical reliability of brittle solids, there have been very few studies of m for porous HA.
X, Fan   +3 more
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Unbiased Weibull Modulus Estimation Using Differential Cumulative Entropy

Communications in Statistics - Simulation and Computation, 2012
Recently, Liu (2007) defined a new entropy which measures the distance between a prescribed and an empirical survival function. In this article, we use this measure called Differential Cumulative Entropy (DCE) for Weibull parameters estimation. We show that the DCE method provides biased estimations of the Weibull modulus, but utilizing unbiasing ...
GH. Yari, A. Saghafi
openaire   +1 more source

On estimating the Weibull modulus for a brittle material

Journal of Materials Science, 1979
Common methods of estimating the Weibull modulus are surveyed. Computer simulation is used to obtain the statistical properties of different estimators. Most estimators are shown to be biased and their respective adjustment factors, for a range of experimentally feasible sample sizes, are given.
K. Trustrum, A. De S. Jayatilaka
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On estimating Weibull modulus by the linear regression method

Journal of Materials Science, 2007
Statistical models were developed to estimate the bias of the shape parameter of a 2-parameter Weibull distribution where the shape parameter was estimated using a linear regression. These models were formulated for 27 sample sizes from 5 to 100 and for 35 probability estimators,
Murat Tiryakioğlu, David Hudak
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Weibull distribution application on temperature dependence of polyurethane storage modulus

International Journal of Materials Research, 2016
Abstract In this paper, a stiffness–temperature model based on Weibull statistics was applied to quantitatively describe changes in the storage modulus of thermoplastic polyurethane over a wide range of temperature. The variation of the storage modulus with temperature was obtained from dynamic mechanical analysis tests across transition
Ivan Kopal   +5 more
openaire   +1 more source

On the estimation of the Weibull modulus

Journal of Materials Science Letters, 1984
It is well documented that nominally identical specimens of brittle materials, e.g. ceramics, show a large variation of tensile fracture stresses and in order to use brittle materials as engineering materials the strength has to be characterized. The most widely used expression for characterization is the cumulative distribution function proposed by ...
openaire   +1 more source

Influence of toughness on Weibull modulus of ceramic bending strength

Journal of Materials Research, 1986
It is demonstrated both theoretically and experimentally that fracture toughness does not directly influence the Weibull modulus of ceramic bending strength for materials that obey the Griffith criterion for crack propagation. Weibull modulus remains unchanged as toughness is increased.
K. Kendall   +3 more
openaire   +1 more source

Influence of experimental parameters on the estimated value of Weibull's modulus

Journal of Materials Science, 1999
This paper is devoted to the study of the influence of experimental parameters and calculation hypotheses on the estimated value of Weibull's modulus, m, of structural ceramics. Numerical simulation programs have been written and rupture tests have been performed in order to characterize the role of the number of samples tested and thus of the ...
J. Absi, P. Fournier, J. C. Glandus
openaire   +1 more source

Approach to the Weibull modulus based on fractal fragmentation of particles

Powder Technology, 2016
Abstract Particle fragmentation results in a fractal distribution of progeny fragments. Based on the fractal distribution, a statistical approach is proposed to interpret the scaling characteristics in tensile strength of brittle particles. It is found that the relationship between the cumulative survival probability of the particles and the tensile ...
Yongfu Xu, Danqing Song, Feifei Chu
openaire   +1 more source

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