Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading

To determine the nonlinear creep characteristics of rocks under cyclic loading and unloading conditions, a nonlinear Kelvin model and damage viscoplastic model are proposed. The models are connected in series with a linear elastic body to establish a nonlinear damage creep model. The differential da...

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Main Authors: Liangliang Zhang, Xiaojian Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2021/5512972
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author Liangliang Zhang
Xiaojian Wang
author_facet Liangliang Zhang
Xiaojian Wang
author_sort Liangliang Zhang
collection DOAJ
description To determine the nonlinear creep characteristics of rocks under cyclic loading and unloading conditions, a nonlinear Kelvin model and damage viscoplastic model are proposed. The models are connected in series with a linear elastic body to establish a nonlinear damage creep model. The differential damage constitutive equations of the proposed creep model under one-dimensional and three-dimensional stress states are derived based on the creep mechanics and elasticity theory. The damage and unloading creep equations are then obtained based on the superposition principle, and a simple and feasible method for determining the model parameters is determined. Finally, the step cyclic loading and unloading creep test data for lherzolite and limestone are used to verify the rationality and feasibility of the nonlinear damage creep model. The results show that the theoretical creep curves of the nonlinear damage creep model are consistent with the experimental curves which indicates that the proposed model can not only determine the creep properties of lherzolite and limestone under cyclic loading and unloading but also determine the nonlinear characteristics of rocks in the transient and steady-state creep stages and particularly within the accelerating creep stage.
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institution Kabale University
issn 1687-8434
1687-8442
language English
publishDate 2021-01-01
publisher Wiley
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series Advances in Materials Science and Engineering
spelling doaj-art-92495b03caa84040bf57d76feda2262e2025-02-03T05:49:17ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422021-01-01202110.1155/2021/55129725512972Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and UnloadingLiangliang Zhang0Xiaojian Wang1School of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan, Anhui 232001, ChinaSchool of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan, Anhui 232001, ChinaTo determine the nonlinear creep characteristics of rocks under cyclic loading and unloading conditions, a nonlinear Kelvin model and damage viscoplastic model are proposed. The models are connected in series with a linear elastic body to establish a nonlinear damage creep model. The differential damage constitutive equations of the proposed creep model under one-dimensional and three-dimensional stress states are derived based on the creep mechanics and elasticity theory. The damage and unloading creep equations are then obtained based on the superposition principle, and a simple and feasible method for determining the model parameters is determined. Finally, the step cyclic loading and unloading creep test data for lherzolite and limestone are used to verify the rationality and feasibility of the nonlinear damage creep model. The results show that the theoretical creep curves of the nonlinear damage creep model are consistent with the experimental curves which indicates that the proposed model can not only determine the creep properties of lherzolite and limestone under cyclic loading and unloading but also determine the nonlinear characteristics of rocks in the transient and steady-state creep stages and particularly within the accelerating creep stage.http://dx.doi.org/10.1155/2021/5512972
spellingShingle Liangliang Zhang
Xiaojian Wang
Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading
Advances in Materials Science and Engineering
title Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading
title_full Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading
title_fullStr Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading
title_full_unstemmed Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading
title_short Study on Nonlinear Damage Creep Model for Rocks under Cyclic Loading and Unloading
title_sort study on nonlinear damage creep model for rocks under cyclic loading and unloading
url http://dx.doi.org/10.1155/2021/5512972
work_keys_str_mv AT liangliangzhang studyonnonlineardamagecreepmodelforrocksundercyclicloadingandunloading
AT xiaojianwang studyonnonlineardamagecreepmodelforrocksundercyclicloadingandunloading