Simplified Model of Elastic-Plastic Wheel/Rail Interactions

The results of numerical calculations, presented in the paper [1], demonstrate a significant role of plastic yield in the process of formation of the rail corrugations. Below, certain analytical solutions for a simplified model of wheel/rail interaction process are given. At first, normal and tange...

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Main Author: W. Gambin
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1994-07-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/1530
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author W. Gambin
author_facet W. Gambin
author_sort W. Gambin
collection DOAJ
description The results of numerical calculations, presented in the paper [1], demonstrate a significant role of plastic yield in the process of formation of the rail corrugations. Below, certain analytical solutions for a simplified model of wheel/rail interaction process are given. At first, normal and tangent loads of rails, assumed on the basis of the results presented in the paper [2], are analyzed. The corresponding elastic stress field is given in explicit form. Next, a complete solution for a thin, plastic surface layer of rail is pro­posed. The simple analytical expressions enable us to calculate the changes of the limit shear stress and residual stresses under the wheel/rail contact surface after successive passings of a wheel. Two cases are considered: a load moving with constant amplitude and a load moving with cyclically changing amplitude. Two important facts are proved. The first one – that the limit shear stress (K) and the longitudinal residual stress (R) under the running surface of rail converge to asymptotic values. The second one – that the final location of K peaks and R valleys corresponds to the positions of rail corrugations.
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spelling doaj-art-f8348d05e3764e5ca4114bb70ee80a8c2025-07-11T04:55:45ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711994-07-01421-2Simplified Model of Elastic-Plastic Wheel/Rail InteractionsW. Gambin0Polish Academy of Sciences, Institute of Fundamental Technological Research, Warszawa The results of numerical calculations, presented in the paper [1], demonstrate a significant role of plastic yield in the process of formation of the rail corrugations. Below, certain analytical solutions for a simplified model of wheel/rail interaction process are given. At first, normal and tangent loads of rails, assumed on the basis of the results presented in the paper [2], are analyzed. The corresponding elastic stress field is given in explicit form. Next, a complete solution for a thin, plastic surface layer of rail is pro­posed. The simple analytical expressions enable us to calculate the changes of the limit shear stress and residual stresses under the wheel/rail contact surface after successive passings of a wheel. Two cases are considered: a load moving with constant amplitude and a load moving with cyclically changing amplitude. Two important facts are proved. The first one – that the limit shear stress (K) and the longitudinal residual stress (R) under the running surface of rail converge to asymptotic values. The second one – that the final location of K peaks and R valleys corresponds to the positions of rail corrugations. https://et.ippt.pan.pl/index.php/et/article/view/1530
spellingShingle W. Gambin
Simplified Model of Elastic-Plastic Wheel/Rail Interactions
Engineering Transactions
title Simplified Model of Elastic-Plastic Wheel/Rail Interactions
title_full Simplified Model of Elastic-Plastic Wheel/Rail Interactions
title_fullStr Simplified Model of Elastic-Plastic Wheel/Rail Interactions
title_full_unstemmed Simplified Model of Elastic-Plastic Wheel/Rail Interactions
title_short Simplified Model of Elastic-Plastic Wheel/Rail Interactions
title_sort simplified model of elastic plastic wheel rail interactions
url https://et.ippt.pan.pl/index.php/et/article/view/1530
work_keys_str_mv AT wgambin simplifiedmodelofelasticplasticwheelrailinteractions