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Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood
When wood is used as a structural material, the fact that it is a highly inhomogeneous material, which significantly affects its static and fatigue properties, presents a major challenge to engineers. In this paper, a novel approach to modelling the fatigue-life properties of wood is presented. In t...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8781647/ https://www.ncbi.nlm.nih.gov/pubmed/35057254 http://dx.doi.org/10.3390/ma15020536 |
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author | Klemenc, Jernej Fajdiga, Gorazd |
author_facet | Klemenc, Jernej Fajdiga, Gorazd |
author_sort | Klemenc, Jernej |
collection | PubMed |
description | When wood is used as a structural material, the fact that it is a highly inhomogeneous material, which significantly affects its static and fatigue properties, presents a major challenge to engineers. In this paper, a novel approach to modelling the fatigue-life properties of wood is presented. In the model, the common inverse-power-law relationship between the structural amplitude loads and the corresponding number of load cycles to failure is augmented with the influence of the wood’s mass density, the loading direction and the processing lot. The model is based on the two-parametric conditional Weibull’s probability density function with a constant shape parameter and a scale parameter that is a function of the previously mentioned parameters. The proposed approach was validated using the example of experimental static and fatigue-strength data from spruce beams. It turned out that the newly presented model is capable of adequately replicating the spruce’s S-N curves with a scatter, despite the relatively scarce amount of experimental data, which came from different production lots that were loaded in different directions and had a significant variation in density. Based on the experimental data, the statistical model predicts that the lower density wood has better fatigue strength. |
format | Online Article Text |
id | pubmed-8781647 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-87816472022-01-22 Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood Klemenc, Jernej Fajdiga, Gorazd Materials (Basel) Article When wood is used as a structural material, the fact that it is a highly inhomogeneous material, which significantly affects its static and fatigue properties, presents a major challenge to engineers. In this paper, a novel approach to modelling the fatigue-life properties of wood is presented. In the model, the common inverse-power-law relationship between the structural amplitude loads and the corresponding number of load cycles to failure is augmented with the influence of the wood’s mass density, the loading direction and the processing lot. The model is based on the two-parametric conditional Weibull’s probability density function with a constant shape parameter and a scale parameter that is a function of the previously mentioned parameters. The proposed approach was validated using the example of experimental static and fatigue-strength data from spruce beams. It turned out that the newly presented model is capable of adequately replicating the spruce’s S-N curves with a scatter, despite the relatively scarce amount of experimental data, which came from different production lots that were loaded in different directions and had a significant variation in density. Based on the experimental data, the statistical model predicts that the lower density wood has better fatigue strength. MDPI 2022-01-11 /pmc/articles/PMC8781647/ /pubmed/35057254 http://dx.doi.org/10.3390/ma15020536 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Klemenc, Jernej Fajdiga, Gorazd Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood |
title | Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood |
title_full | Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood |
title_fullStr | Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood |
title_full_unstemmed | Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood |
title_short | Statistical Modelling of the Fatigue Bending Strength of Norway Spruce Wood |
title_sort | statistical modelling of the fatigue bending strength of norway spruce wood |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8781647/ https://www.ncbi.nlm.nih.gov/pubmed/35057254 http://dx.doi.org/10.3390/ma15020536 |
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