Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution

To obtain the dynamic mechanical properties of frozen sandstone at different temperatures (i.e., 20°C, −10°C, −20°C, and −30°C), dynamic uniaxial compression tests of saturated sandstone are conducted using a split-Hopkinson pressure bar. The experimental results demonstrated that the brittleness of...

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Main Authors: Lei Wang, Hongming Su, Shiguan Chen, Yue Qin
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/6439207
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author Lei Wang
Hongming Su
Shiguan Chen
Yue Qin
author_facet Lei Wang
Hongming Su
Shiguan Chen
Yue Qin
author_sort Lei Wang
collection DOAJ
description To obtain the dynamic mechanical properties of frozen sandstone at different temperatures (i.e., 20°C, −10°C, −20°C, and −30°C), dynamic uniaxial compression tests of saturated sandstone are conducted using a split-Hopkinson pressure bar. The experimental results demonstrated that the brittleness of the saturated sandstone increased and its plasticity weakened with a decrease in temperature. The peak strength and dynamic elastic modulus of the sandstone were positively correlated with its strain rate. The peak stress was most sensitive to the strain rate at −10°C, and the elastic modulus was most sensitive to the strain rate at −30°C. According to the evident segmentation characteristics of the obtained stress-strain curve, a viscoelastic dynamic constitutive model considering the strain rate effect and temperature effect is developed; this model combines a nonlinear (or linear) body and a Maxwell body in parallel with a damage body. The applicability of the constitutive model is also verified using experimental data. The fitting results were demonstrated to be in good agreement with the experimental results. Furthermore, the fitting results serve as reference for the study of the constitutive model of weakly cemented soft rock and the construction of roadway freezing methods.
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institution Kabale University
issn 1687-8086
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spelling doaj-art-f97878c208884286b25d82ce064d94202025-02-03T06:44:00ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/64392076439207Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull DistributionLei Wang0Hongming Su1Shiguan Chen2Yue Qin3College of Architecture and Civil Engineering, Xi’an University of Science and Technology, Xian, Shaanxi Province, ChinaCollege of Architecture and Civil Engineering, Xi’an University of Science and Technology, Xian, Shaanxi Province, ChinaCollege of Architecture and Civil Engineering, Xi’an University of Science and Technology, Xian, Shaanxi Province, ChinaCollege of Architecture and Civil Engineering, Xi’an University of Science and Technology, Xian, Shaanxi Province, ChinaTo obtain the dynamic mechanical properties of frozen sandstone at different temperatures (i.e., 20°C, −10°C, −20°C, and −30°C), dynamic uniaxial compression tests of saturated sandstone are conducted using a split-Hopkinson pressure bar. The experimental results demonstrated that the brittleness of the saturated sandstone increased and its plasticity weakened with a decrease in temperature. The peak strength and dynamic elastic modulus of the sandstone were positively correlated with its strain rate. The peak stress was most sensitive to the strain rate at −10°C, and the elastic modulus was most sensitive to the strain rate at −30°C. According to the evident segmentation characteristics of the obtained stress-strain curve, a viscoelastic dynamic constitutive model considering the strain rate effect and temperature effect is developed; this model combines a nonlinear (or linear) body and a Maxwell body in parallel with a damage body. The applicability of the constitutive model is also verified using experimental data. The fitting results were demonstrated to be in good agreement with the experimental results. Furthermore, the fitting results serve as reference for the study of the constitutive model of weakly cemented soft rock and the construction of roadway freezing methods.http://dx.doi.org/10.1155/2020/6439207
spellingShingle Lei Wang
Hongming Su
Shiguan Chen
Yue Qin
Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution
Advances in Civil Engineering
title Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution
title_full Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution
title_fullStr Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution
title_full_unstemmed Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution
title_short Nonlinear Dynamic Constitutive Model of Frozen Sandstone Based on Weibull Distribution
title_sort nonlinear dynamic constitutive model of frozen sandstone based on weibull distribution
url http://dx.doi.org/10.1155/2020/6439207
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AT hongmingsu nonlineardynamicconstitutivemodeloffrozensandstonebasedonweibulldistribution
AT shiguanchen nonlineardynamicconstitutivemodeloffrozensandstonebasedonweibulldistribution
AT yueqin nonlineardynamicconstitutivemodeloffrozensandstonebasedonweibulldistribution