Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features

This study analyzed the mechanical and physiological strategies associated with four features in the branch–stem junction of a tree, namely the U-shaped branch attachment, the branch collar, the branch bark ridge, and the roughened lower stem. Models were established for each stage of tree growth by...

Full description

Bibliographic Details
Main Authors: Tung-Chi Liu, Yi-Sen Peng, Bai-You Cheng
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Plants
Subjects:
Online Access:https://www.mdpi.com/2223-7747/12/23/4060
_version_ 1797399692275875840
author Tung-Chi Liu
Yi-Sen Peng
Bai-You Cheng
author_facet Tung-Chi Liu
Yi-Sen Peng
Bai-You Cheng
author_sort Tung-Chi Liu
collection DOAJ
description This study analyzed the mechanical and physiological strategies associated with four features in the branch–stem junction of a tree, namely the U-shaped branch attachment, the branch collar, the branch bark ridge, and the roughened lower stem. Models were established for each stage of tree growth by adding these four features sequentially to a base model, and the finite element method (FEM) was employed to create three-dimensional models of an Acer tree’s branch–stem structure for static force analysis. According to the results, the development of the branch collar shifted the point of breakage to the outer part of the collar and, thus, constituted a physiological strategy that prevented decay in the stem. Additionally, the concentration of stress in the branch bark ridge limited the area of tear in the bark following breakage. Finally, the U-shaped branch attachment reduced stress and shifted the point of peak stress toward the branch, while the thickening of the lower stem reduced the overall stress. The development of these features, including the spatial positioning of the branch bark ridge and branch collar, resulted in two breakage points constituting a physical and a physiological strategy that limited damage to the tree and protected the xylem structure. This is the part that has been challenging to decipher in previous discussions of tree-related self-protection mechanisms.
first_indexed 2024-03-09T01:43:49Z
format Article
id doaj.art-3a3a9bc669b74df287d2619d0944b1c0
institution Directory Open Access Journal
issn 2223-7747
language English
last_indexed 2024-03-09T01:43:49Z
publishDate 2023-12-01
publisher MDPI AG
record_format Article
series Plants
spelling doaj.art-3a3a9bc669b74df287d2619d0944b1c02023-12-08T15:24:04ZengMDPI AGPlants2223-77472023-12-011223406010.3390/plants12234060Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem FeaturesTung-Chi Liu0Yi-Sen Peng1Bai-You Cheng2Department of Horticulture, National Chung Hsing University, Taichung City 40227, TaiwanDepartment of Horticulture, National Chung Hsing University, Taichung City 40227, TaiwanGraduate Institute of Environmental Resources Management, TransWorld University, Douliu City 64063, TaiwanThis study analyzed the mechanical and physiological strategies associated with four features in the branch–stem junction of a tree, namely the U-shaped branch attachment, the branch collar, the branch bark ridge, and the roughened lower stem. Models were established for each stage of tree growth by adding these four features sequentially to a base model, and the finite element method (FEM) was employed to create three-dimensional models of an Acer tree’s branch–stem structure for static force analysis. According to the results, the development of the branch collar shifted the point of breakage to the outer part of the collar and, thus, constituted a physiological strategy that prevented decay in the stem. Additionally, the concentration of stress in the branch bark ridge limited the area of tear in the bark following breakage. Finally, the U-shaped branch attachment reduced stress and shifted the point of peak stress toward the branch, while the thickening of the lower stem reduced the overall stress. The development of these features, including the spatial positioning of the branch bark ridge and branch collar, resulted in two breakage points constituting a physical and a physiological strategy that limited damage to the tree and protected the xylem structure. This is the part that has been challenging to decipher in previous discussions of tree-related self-protection mechanisms.https://www.mdpi.com/2223-7747/12/23/4060branch–stem structurebranch collarbranch bark ridgefinite element methodmechanical functionthickening of the lower stem
spellingShingle Tung-Chi Liu
Yi-Sen Peng
Bai-You Cheng
Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features
Plants
branch–stem structure
branch collar
branch bark ridge
finite element method
mechanical function
thickening of the lower stem
title Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features
title_full Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features
title_fullStr Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features
title_full_unstemmed Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features
title_short Physiological and Physical Strategies to Minimize Damage at the Branch–Stem Junction of Trees: Using the Finite Element Method to Analyze Stress in Four Branch–Stem Features
title_sort physiological and physical strategies to minimize damage at the branch stem junction of trees using the finite element method to analyze stress in four branch stem features
topic branch–stem structure
branch collar
branch bark ridge
finite element method
mechanical function
thickening of the lower stem
url https://www.mdpi.com/2223-7747/12/23/4060
work_keys_str_mv AT tungchiliu physiologicalandphysicalstrategiestominimizedamageatthebranchstemjunctionoftreesusingthefiniteelementmethodtoanalyzestressinfourbranchstemfeatures
AT yisenpeng physiologicalandphysicalstrategiestominimizedamageatthebranchstemjunctionoftreesusingthefiniteelementmethodtoanalyzestressinfourbranchstemfeatures
AT baiyoucheng physiologicalandphysicalstrategiestominimizedamageatthebranchstemjunctionoftreesusingthefiniteelementmethodtoanalyzestressinfourbranchstemfeatures