Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components

Shrinkage cracks severely affect the safety of wood structures. Therefore, the moisture stress distribution of shrinkage cracks should be analyzed, and the interface crack depth of wood components predicted. In this paper, the equilibrium conditions, physical conditions, geometric conditions, and co...

Full description

Bibliographic Details
Main Authors: Panpan Tian, Hongxing Qiu, Jianhong Han, Hongmin Li, Xia Han
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/13/10/2505
_version_ 1797574454705913856
author Panpan Tian
Hongxing Qiu
Jianhong Han
Hongmin Li
Xia Han
author_facet Panpan Tian
Hongxing Qiu
Jianhong Han
Hongmin Li
Xia Han
author_sort Panpan Tian
collection DOAJ
description Shrinkage cracks severely affect the safety of wood structures. Therefore, the moisture stress distribution of shrinkage cracks should be analyzed, and the interface crack depth of wood components predicted. In this paper, the equilibrium conditions, physical conditions, geometric conditions, and coordination equations of the disk humidity stress under a moisture content gradient Δ<i>w</i> are deduced by referring to the elastic analytical solution model of temperature stress. Moreover, the humidity stress distribution equation is established, which is verified via the finite element method. The critical water content and shrinkage crack depth prediction models are further deduced based on the humidity stress distribution. The usability of the model is further verified using the test data of actual engineered wood components. The results demonstrate that the moisture stress is not determined by the initial moisture content <i>W<sub>i</sub></i>, equilibrium moisture content <i>W</i><sub>e</sub>, or member size but by moisture content gradient Δ<i>w</i>. The shrinkage crack prediction model of wood components in cross-section can be applied to actual engineering prediction to provide a theoretical basis for the reinforcement measures and safety evaluation of wood structures.
first_indexed 2024-03-10T21:22:48Z
format Article
id doaj.art-af96beedd2fa4d16ada7e0b8ad2a52fe
institution Directory Open Access Journal
issn 2075-5309
language English
last_indexed 2024-03-10T21:22:48Z
publishDate 2023-10-01
publisher MDPI AG
record_format Article
series Buildings
spelling doaj.art-af96beedd2fa4d16ada7e0b8ad2a52fe2023-11-19T15:55:19ZengMDPI AGBuildings2075-53092023-10-011310250510.3390/buildings13102505Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber ComponentsPanpan Tian0Hongxing Qiu1Jianhong Han2Hongmin Li3Xia Han4School of Civil Engineering and Architecture, Xinjiang University, Urumqi 830047, ChinaKey Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, Nanjing 211189, ChinaSchool of Civil Engineering, Xinjiang Institute of Engineering, Urumqi 830023, ChinaCollege of Materials Science and Engineering, Nanjing Forestry University, Nanjing 210037, ChinaSchool of Civil Engineering and Architecture, Xinjiang University, Urumqi 830047, ChinaShrinkage cracks severely affect the safety of wood structures. Therefore, the moisture stress distribution of shrinkage cracks should be analyzed, and the interface crack depth of wood components predicted. In this paper, the equilibrium conditions, physical conditions, geometric conditions, and coordination equations of the disk humidity stress under a moisture content gradient Δ<i>w</i> are deduced by referring to the elastic analytical solution model of temperature stress. Moreover, the humidity stress distribution equation is established, which is verified via the finite element method. The critical water content and shrinkage crack depth prediction models are further deduced based on the humidity stress distribution. The usability of the model is further verified using the test data of actual engineered wood components. The results demonstrate that the moisture stress is not determined by the initial moisture content <i>W<sub>i</sub></i>, equilibrium moisture content <i>W</i><sub>e</sub>, or member size but by moisture content gradient Δ<i>w</i>. The shrinkage crack prediction model of wood components in cross-section can be applied to actual engineering prediction to provide a theoretical basis for the reinforcement measures and safety evaluation of wood structures.https://www.mdpi.com/2075-5309/13/10/2505wood componentsmoisture content gradienthumidity stress distributionshrinkage crack depthdetection
spellingShingle Panpan Tian
Hongxing Qiu
Jianhong Han
Hongmin Li
Xia Han
Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components
Buildings
wood components
moisture content gradient
humidity stress distribution
shrinkage crack depth
detection
title Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components
title_full Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components
title_fullStr Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components
title_full_unstemmed Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components
title_short Prediction Model of Shrinkage Crack Propagation in Cross-Section of Timber Components
title_sort prediction model of shrinkage crack propagation in cross section of timber components
topic wood components
moisture content gradient
humidity stress distribution
shrinkage crack depth
detection
url https://www.mdpi.com/2075-5309/13/10/2505
work_keys_str_mv AT panpantian predictionmodelofshrinkagecrackpropagationincrosssectionoftimbercomponents
AT hongxingqiu predictionmodelofshrinkagecrackpropagationincrosssectionoftimbercomponents
AT jianhonghan predictionmodelofshrinkagecrackpropagationincrosssectionoftimbercomponents
AT hongminli predictionmodelofshrinkagecrackpropagationincrosssectionoftimbercomponents
AT xiahan predictionmodelofshrinkagecrackpropagationincrosssectionoftimbercomponents