A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading

Based on the analysis of notch-root stresses and strains in bodies subjected to multiaxial loading, a quantitative relationship between Neuber rule and the equivalent strain energy density method is found. In the case of elastic range, both Neuber rule and the equivalent strain energy density method...

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Main Authors: Liu Jianhui, Wang Shengnan, Jin Wuyin, Gao Wen
Format: Article
Language:English
Published: SAGE Publishing 2014-04-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1155/2014/513804
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spelling doaj-321a4f33ec644633bb10b31f9ed69a402020-11-25T03:44:12ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322014-04-01610.1155/2014/51380410.1155_2014/513804A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial LoadingLiu Jianhui0Wang Shengnan1Jin Wuyin2Gao Wen3 School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China Institute of Electrical and Mechanical Engineering, Lanzhou University of Technology, Lanzhou 730050, China School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, ChinaBased on the analysis of notch-root stresses and strains in bodies subjected to multiaxial loading, a quantitative relationship between Neuber rule and the equivalent strain energy density method is found. In the case of elastic range, both Neuber rule and the equivalent strain energy density method get the same estimation of the local stresses and strains. Whereas in the case of elastic-plastic range, Neuber rule generally overestimates the notch-root stresses and strains and the equivalent strain energy density method tends to underestimate the notch-root stresses and strains. A modified method is presented considering the material constants of elastic-plastic Poisson's ratio, elastic modulus, shear elastic modulus, and yield stress. The essence of the modified model is to add a modified coefficient to Neuber rule, which makes the calculated results tend to be more precise and reveals its energy meaning. This approach considers the elastic-plastic properties of the material itself and avoids the blindness of selecting coefficient values. Finally the calculation results using the modified model are validated with the experimental data.https://doi.org/10.1155/2014/513804
collection DOAJ
language English
format Article
sources DOAJ
author Liu Jianhui
Wang Shengnan
Jin Wuyin
Gao Wen
spellingShingle Liu Jianhui
Wang Shengnan
Jin Wuyin
Gao Wen
A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading
Advances in Mechanical Engineering
author_facet Liu Jianhui
Wang Shengnan
Jin Wuyin
Gao Wen
author_sort Liu Jianhui
title A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading
title_short A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading
title_full A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading
title_fullStr A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading
title_full_unstemmed A Modified Method for Calculating Notch-Root Stresses and Strains under Multiaxial Loading
title_sort modified method for calculating notch-root stresses and strains under multiaxial loading
publisher SAGE Publishing
series Advances in Mechanical Engineering
issn 1687-8132
publishDate 2014-04-01
description Based on the analysis of notch-root stresses and strains in bodies subjected to multiaxial loading, a quantitative relationship between Neuber rule and the equivalent strain energy density method is found. In the case of elastic range, both Neuber rule and the equivalent strain energy density method get the same estimation of the local stresses and strains. Whereas in the case of elastic-plastic range, Neuber rule generally overestimates the notch-root stresses and strains and the equivalent strain energy density method tends to underestimate the notch-root stresses and strains. A modified method is presented considering the material constants of elastic-plastic Poisson's ratio, elastic modulus, shear elastic modulus, and yield stress. The essence of the modified model is to add a modified coefficient to Neuber rule, which makes the calculated results tend to be more precise and reveals its energy meaning. This approach considers the elastic-plastic properties of the material itself and avoids the blindness of selecting coefficient values. Finally the calculation results using the modified model are validated with the experimental data.
url https://doi.org/10.1155/2014/513804
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