Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis

Engineering construction in cold regions cannot be separated from permafrost research. This study aimed to determine the mechanical properties and changing laws of artificially frozen clay through triaxial tests. Two models have been established: a physical model based on the tradi-tional phenomenol...

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Main Authors: Zhen-Chao Teng, Ya-Dong Zhou, Yun-Chao Teng, Xiao-Yan Liu, Jia-Lin Liu, Bo Li
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-08-01
Series:Frontiers in Earth Science
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/feart.2023.1238286/full
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author Zhen-Chao Teng
Ya-Dong Zhou
Yun-Chao Teng
Xiao-Yan Liu
Jia-Lin Liu
Bo Li
author_facet Zhen-Chao Teng
Ya-Dong Zhou
Yun-Chao Teng
Xiao-Yan Liu
Jia-Lin Liu
Bo Li
author_sort Zhen-Chao Teng
collection DOAJ
description Engineering construction in cold regions cannot be separated from permafrost research. This study aimed to determine the mechanical properties and changing laws of artificially frozen clay through triaxial tests. Two models have been established: a physical model based on the tradi-tional phenomenological constitutive theory and a deep learning model based on the data-driven constitutive theory, taking into account the softening phenomenon. The accuracy and applica-bility of the models were verified, followed by a comparative analysis. The results of the analysis are as follows. The Duncan-Chang model can describe the characteristics of the hardening-type deviatoric stress-strain curve, but it cannot describe the characteristics of the softening-type de-viatoric stress-strain curve. The Modified Duncan-Chang (MDC) model fails to accurately de-scribe the characteristics of a smooth deviatoric stress-strain curve. The Strain-Damage Modified Duncan-Chang (SD-MDC) model exhibits a good fit in both the ascending and descending seg-ments of the curve, but it lacks effectiveness in the convergence segment of the S-shaped sof-tening curve. For this reason, this paper has chosen the arctangent function to establish a Strain-Damage Modified arctangent constitutive model (SD-MAM). This model accurately re-flects the stress evolution process of different types of frozen soils. Additionally, the Informer time series prediction algorithm was utilized to develop the Informer permafrost deviatoric stress prediction model which achieved an R2 value above 99%. In comparison to the SD-MAM model, the Informer model demonstrates higher precision, does not rely on assumptions, is cost-effective, and has a wide range of applications. However, it lacks physical meaning, and interpretability, and requires further discussion regarding the reliability of the results. This study offers valuable insights into the development and application of constitutive models for frozen soils.
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spelling doaj.art-4ac5b9f2cd1347fbbdbd50b79c3027ea2023-08-03T18:00:29ZengFrontiers Media S.A.Frontiers in Earth Science2296-64632023-08-011110.3389/feart.2023.12382861238286Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysisZhen-Chao TengYa-Dong ZhouYun-Chao TengXiao-Yan LiuJia-Lin LiuBo LiEngineering construction in cold regions cannot be separated from permafrost research. This study aimed to determine the mechanical properties and changing laws of artificially frozen clay through triaxial tests. Two models have been established: a physical model based on the tradi-tional phenomenological constitutive theory and a deep learning model based on the data-driven constitutive theory, taking into account the softening phenomenon. The accuracy and applica-bility of the models were verified, followed by a comparative analysis. The results of the analysis are as follows. The Duncan-Chang model can describe the characteristics of the hardening-type deviatoric stress-strain curve, but it cannot describe the characteristics of the softening-type de-viatoric stress-strain curve. The Modified Duncan-Chang (MDC) model fails to accurately de-scribe the characteristics of a smooth deviatoric stress-strain curve. The Strain-Damage Modified Duncan-Chang (SD-MDC) model exhibits a good fit in both the ascending and descending seg-ments of the curve, but it lacks effectiveness in the convergence segment of the S-shaped sof-tening curve. For this reason, this paper has chosen the arctangent function to establish a Strain-Damage Modified arctangent constitutive model (SD-MAM). This model accurately re-flects the stress evolution process of different types of frozen soils. Additionally, the Informer time series prediction algorithm was utilized to develop the Informer permafrost deviatoric stress prediction model which achieved an R2 value above 99%. In comparison to the SD-MAM model, the Informer model demonstrates higher precision, does not rely on assumptions, is cost-effective, and has a wide range of applications. However, it lacks physical meaning, and interpretability, and requires further discussion regarding the reliability of the results. This study offers valuable insights into the development and application of constitutive models for frozen soils.https://www.frontiersin.org/articles/10.3389/feart.2023.1238286/fulltriaxial test of frozen soildeep learningconstitutive equation of frozen soilweibull distributionstrain-softeningDuncan-Chang model
spellingShingle Zhen-Chao Teng
Ya-Dong Zhou
Yun-Chao Teng
Xiao-Yan Liu
Jia-Lin Liu
Bo Li
Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis
Frontiers in Earth Science
triaxial test of frozen soil
deep learning
constitutive equation of frozen soil
weibull distribution
strain-softening
Duncan-Chang model
title Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis
title_full Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis
title_fullStr Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis
title_full_unstemmed Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis
title_short Deviatoric stress-strain curve construction with strain-softening account via the damage-modified Duncan-Chang, arctangent and informer models: a comparative analysis
title_sort deviatoric stress strain curve construction with strain softening account via the damage modified duncan chang arctangent and informer models a comparative analysis
topic triaxial test of frozen soil
deep learning
constitutive equation of frozen soil
weibull distribution
strain-softening
Duncan-Chang model
url https://www.frontiersin.org/articles/10.3389/feart.2023.1238286/full
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