Modeling for strain-softening rocks with lateral damage based on statistical physics.

Statistical physics is widely used to study the nonlinear mechanical behaviors of rock. For the limitations of existing statistical damage models and Weibull distribution, a new statistical damage with lateral damage is established. In addition, by introducing the maximum entropy distribution functi...

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Main Authors: Xiaoming Li, Mingwu Wang, Fengqiang Shen, Hongfei Zhang
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0283313
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author Xiaoming Li
Mingwu Wang
Fengqiang Shen
Hongfei Zhang
author_facet Xiaoming Li
Mingwu Wang
Fengqiang Shen
Hongfei Zhang
author_sort Xiaoming Li
collection DOAJ
description Statistical physics is widely used to study the nonlinear mechanical behaviors of rock. For the limitations of existing statistical damage models and Weibull distribution, a new statistical damage with lateral damage is established. In addition, by introducing the maximum entropy distribution function and the strict constraint on damage variable, a expression of the damage variable matching the proposed model is obtained. Through comparing with the experimental results and the other two statistical damage models, the rationality of the maximum entropy statistical damage model is confirmed. The proposed model can better reflect the strain-softening behavior for rocks and respond to the residual strength, which provides a theoretical reference for practical engineering construction and design.
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spelling doaj.art-1411ab5114d445ee80686470e80417a32023-04-21T05:34:11ZengPublic Library of Science (PLoS)PLoS ONE1932-62032023-01-01183e028331310.1371/journal.pone.0283313Modeling for strain-softening rocks with lateral damage based on statistical physics.Xiaoming LiMingwu WangFengqiang ShenHongfei ZhangStatistical physics is widely used to study the nonlinear mechanical behaviors of rock. For the limitations of existing statistical damage models and Weibull distribution, a new statistical damage with lateral damage is established. In addition, by introducing the maximum entropy distribution function and the strict constraint on damage variable, a expression of the damage variable matching the proposed model is obtained. Through comparing with the experimental results and the other two statistical damage models, the rationality of the maximum entropy statistical damage model is confirmed. The proposed model can better reflect the strain-softening behavior for rocks and respond to the residual strength, which provides a theoretical reference for practical engineering construction and design.https://doi.org/10.1371/journal.pone.0283313
spellingShingle Xiaoming Li
Mingwu Wang
Fengqiang Shen
Hongfei Zhang
Modeling for strain-softening rocks with lateral damage based on statistical physics.
PLoS ONE
title Modeling for strain-softening rocks with lateral damage based on statistical physics.
title_full Modeling for strain-softening rocks with lateral damage based on statistical physics.
title_fullStr Modeling for strain-softening rocks with lateral damage based on statistical physics.
title_full_unstemmed Modeling for strain-softening rocks with lateral damage based on statistical physics.
title_short Modeling for strain-softening rocks with lateral damage based on statistical physics.
title_sort modeling for strain softening rocks with lateral damage based on statistical physics
url https://doi.org/10.1371/journal.pone.0283313
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AT mingwuwang modelingforstrainsofteningrockswithlateraldamagebasedonstatisticalphysics
AT fengqiangshen modelingforstrainsofteningrockswithlateraldamagebasedonstatisticalphysics
AT hongfeizhang modelingforstrainsofteningrockswithlateraldamagebasedonstatisticalphysics