Study on the Creep of Damage-Containing Anthracite: Theory and Experiment

Fractal derivatives characterize the accelerated creep phase of the creep process. In this study, based on the fractal order theory, the integer-order derivatives are defined from the spatio-temporal self-similarity phenomenon of the dynamic process using the scale change method, and the viscoplasti...

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Main Authors: Gang Li, Guochao Yan, Shaoqi Kong, Xuyang Bai, Chaofei Du, Jiajun Li, Jiawei Zhang
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/15/8691
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author Gang Li
Guochao Yan
Shaoqi Kong
Xuyang Bai
Chaofei Du
Jiajun Li
Jiawei Zhang
author_facet Gang Li
Guochao Yan
Shaoqi Kong
Xuyang Bai
Chaofei Du
Jiajun Li
Jiawei Zhang
author_sort Gang Li
collection DOAJ
description Fractal derivatives characterize the accelerated creep phase of the creep process. In this study, based on the fractal order theory, the integer-order derivatives are defined from the spatio-temporal self-similarity phenomenon of the dynamic process using the scale change method, and the viscoplastic model is improved to establish a new creep instantonal model with damage to describe the complete creep phase of anthracite. The effects of damage variables on initial and accelerated creep were investigated by performing graded-loading creep tests. Based on the experimental data, inversions of the model-related parameters were performed, and parameter sensitivities were analyzed. The results show that the proposed model can better characterize the complete creep process of anthracite coal, which verifies the correctness and rationality of the model. The damage content affects the initial and accelerated creep strain under different loading levels, and a specific functional relationship exists between them. The study’s findings can provide some reference material for the stability control of anthracite affected by disturbing stresses.
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spelling doaj.art-fca638ff57774b69ae426cf3189ca9452023-11-18T22:36:14ZengMDPI AGApplied Sciences2076-34172023-07-011315869110.3390/app13158691Study on the Creep of Damage-Containing Anthracite: Theory and ExperimentGang Li0Guochao Yan1Shaoqi Kong2Xuyang Bai3Chaofei Du4Jiajun Li5Jiawei Zhang6College of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaFractal derivatives characterize the accelerated creep phase of the creep process. In this study, based on the fractal order theory, the integer-order derivatives are defined from the spatio-temporal self-similarity phenomenon of the dynamic process using the scale change method, and the viscoplastic model is improved to establish a new creep instantonal model with damage to describe the complete creep phase of anthracite. The effects of damage variables on initial and accelerated creep were investigated by performing graded-loading creep tests. Based on the experimental data, inversions of the model-related parameters were performed, and parameter sensitivities were analyzed. The results show that the proposed model can better characterize the complete creep process of anthracite coal, which verifies the correctness and rationality of the model. The damage content affects the initial and accelerated creep strain under different loading levels, and a specific functional relationship exists between them. The study’s findings can provide some reference material for the stability control of anthracite affected by disturbing stresses.https://www.mdpi.com/2076-3417/13/15/8691anthracitefractal derivativesimproved viscoplastic modeldamage-containing creep intrinsic structure modelmodel validation
spellingShingle Gang Li
Guochao Yan
Shaoqi Kong
Xuyang Bai
Chaofei Du
Jiajun Li
Jiawei Zhang
Study on the Creep of Damage-Containing Anthracite: Theory and Experiment
Applied Sciences
anthracite
fractal derivatives
improved viscoplastic model
damage-containing creep intrinsic structure model
model validation
title Study on the Creep of Damage-Containing Anthracite: Theory and Experiment
title_full Study on the Creep of Damage-Containing Anthracite: Theory and Experiment
title_fullStr Study on the Creep of Damage-Containing Anthracite: Theory and Experiment
title_full_unstemmed Study on the Creep of Damage-Containing Anthracite: Theory and Experiment
title_short Study on the Creep of Damage-Containing Anthracite: Theory and Experiment
title_sort study on the creep of damage containing anthracite theory and experiment
topic anthracite
fractal derivatives
improved viscoplastic model
damage-containing creep intrinsic structure model
model validation
url https://www.mdpi.com/2076-3417/13/15/8691
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AT xuyangbai studyonthecreepofdamagecontaininganthracitetheoryandexperiment
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