Repeated loading model for elastic–plastic contact of geomaterial

A new nonlinear hysteretic model with considering the loading, unloading, and reloading processes is developed based on Drucker–Prager yield criterion and finite-element analysis. This model can be used for multiple repeated elastic–plastic normal direction contact problems between two identical sph...

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Main Authors: Jian Wang, Qimin Li, Changwei Yang, Caizhi Zhou
Format: Article
Language:English
Published: SAGE Publishing 2018-07-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814018788778
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author Jian Wang
Qimin Li
Changwei Yang
Caizhi Zhou
author_facet Jian Wang
Qimin Li
Changwei Yang
Caizhi Zhou
author_sort Jian Wang
collection DOAJ
description A new nonlinear hysteretic model with considering the loading, unloading, and reloading processes is developed based on Drucker–Prager yield criterion and finite-element analysis. This model can be used for multiple repeated elastic–plastic normal direction contact problems between two identical spherical geomaterials. After examining the influence of material properties, strain hardening, and loading histories, we found that the hysteretic phenomena (represented by residual displacement and plastic work) become weak after the first cycle, and the subsequent cycles step into elastic shakedown state eventually. A critical number of cycles can be used to estimate the state of ratchetting, plastic shakedown, as well as elastic shakedown. It also found that the subsequent curves will be stiffer than the previous ones, especially when the yield strength is high and ratchetting effect is not strong. This new model can be used for a wide range of geomaterials under different loading levels, and it can also be extended to describe the constitutive behavior of spheres under earthquake as well as aftershocks.
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spelling doaj.art-9a59b6fc3f37497fa6c96e1951c4150f2022-12-22T03:50:29ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402018-07-011010.1177/1687814018788778Repeated loading model for elastic–plastic contact of geomaterialJian Wang0Qimin Li1Changwei Yang2Caizhi Zhou3National Engineering Laboratory for Technology of Geological Disaster Prevention in Land Transportation, Southwest Jiaotong University, Chengdu, ChinaSchool of Water Resources and Environment, China University of Geosciences, Beijing, Beijing, ChinaSchool of Civil Engineering, Southwest Jiaotong University, Chengdu, ChinaDepartment of Materials Science and Engineering, Missouri University of Science and Technology, Rolla, MO, USAA new nonlinear hysteretic model with considering the loading, unloading, and reloading processes is developed based on Drucker–Prager yield criterion and finite-element analysis. This model can be used for multiple repeated elastic–plastic normal direction contact problems between two identical spherical geomaterials. After examining the influence of material properties, strain hardening, and loading histories, we found that the hysteretic phenomena (represented by residual displacement and plastic work) become weak after the first cycle, and the subsequent cycles step into elastic shakedown state eventually. A critical number of cycles can be used to estimate the state of ratchetting, plastic shakedown, as well as elastic shakedown. It also found that the subsequent curves will be stiffer than the previous ones, especially when the yield strength is high and ratchetting effect is not strong. This new model can be used for a wide range of geomaterials under different loading levels, and it can also be extended to describe the constitutive behavior of spheres under earthquake as well as aftershocks.https://doi.org/10.1177/1687814018788778
spellingShingle Jian Wang
Qimin Li
Changwei Yang
Caizhi Zhou
Repeated loading model for elastic–plastic contact of geomaterial
Advances in Mechanical Engineering
title Repeated loading model for elastic–plastic contact of geomaterial
title_full Repeated loading model for elastic–plastic contact of geomaterial
title_fullStr Repeated loading model for elastic–plastic contact of geomaterial
title_full_unstemmed Repeated loading model for elastic–plastic contact of geomaterial
title_short Repeated loading model for elastic–plastic contact of geomaterial
title_sort repeated loading model for elastic plastic contact of geomaterial
url https://doi.org/10.1177/1687814018788778
work_keys_str_mv AT jianwang repeatedloadingmodelforelasticplasticcontactofgeomaterial
AT qiminli repeatedloadingmodelforelasticplasticcontactofgeomaterial
AT changweiyang repeatedloadingmodelforelasticplasticcontactofgeomaterial
AT caizhizhou repeatedloadingmodelforelasticplasticcontactofgeomaterial