Strength distribution of dental restorative ceramics: finite weakest link model with zero threshold

Dental Materials : Official Publication of the Academy of Dental Materials
Jia-Liang Le, Zdenek P Bazant

Abstract

Ensuring a small enough failure probability is important for the design and selection of restorative dental ceramics. For this purpose, the two-parameter Weibull distribution, which is based on the weakest link model with infinitely many links, is usually adopted to model the strength distribution of dental ceramics. This distribution has been thoroughly validated for perfectly brittle materials. However, dental ceramics are generally quasibrittle because the inhomogeneity size is not negligible compared to the size of the ceramic part. For such materials, the experimental histograms of many quasibrittle materials have been shown to exhibit strong deviations from the two-parameter Weibull distribution. As a remedy, the three-parameter Weibull distribution, which has a nonzero threshold, has been proposed. However, the improvement of the fits of histograms of quasibrittle materials has been only partial. Instead of making the threshold non-zero, the correct remedy is to consider the weakest link model to have a finite number of links, each of them representing one finite-size representative volume element of material. This model has recently been justified on the basis of the probability of random jumps of atomic lattice cracks ...Continue Reading

References

Aug 1, 1986·Dental Materials : Official Publication of the Academy of Dental Materials·J F McCabe, T E Carrick
Aug 29, 2000·Journal of Dentistry·J TinschertK J Anusavice
Nov 6, 2002·Journal of Biomedical Materials Research·Ulrich LohbauerPeter Greil
Aug 4, 2004·Proceedings of the National Academy of Sciences of the United States of America·Zdenek P Bazant
Jun 1, 2005·Dental Materials : Official Publication of the Academy of Dental Materials·Heinz LüthyChristoph H F Hammerle
Jun 14, 2006·Proceedings of the National Academy of Sciences of the United States of America·Zdenĕk P Bazant, Sze-Dai Pang
Feb 6, 2007·Journal of Materials Science. Materials in Medicine·Erica C TeixeiraJeffrey Y Thompson

❮ Previous
Next ❯

Citations

Jun 30, 2009·Proceedings of the National Academy of Sciences of the United States of America·Zdenek P BazantMartin Z Bazant
May 21, 2019·Proceedings. Mathematical, Physical, and Engineering Sciences·Zdeněk P Bažant

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Proceedings of the National Academy of Sciences of the United States of America
Zdenek P Bazant, Sze-Dai Pang
Journal of Biomedical Materials Research
Ulrich LohbauerPeter Greil
Proceedings of the National Academy of Sciences of the United States of America
Zdenek P BazantM Z Bazant
Proceedings of the National Academy of Sciences of the United States of America
Zdenek P Bazant
© 2021 Meta ULC. All rights reserved