Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress

To establish the mathematic model of the constitutive relation and failure criteria of plastic concrete under true triaxial compressive stress, uniaxial compressive strength and true triaxial compressive strength of plastic concrete under three kinds of confining pressures with a size of 150 × 150 ×...

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Main Authors: Liangming Hu, Shuyu Li, Junfu Zhu, Xu Yang
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/1/102
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author Liangming Hu
Shuyu Li
Junfu Zhu
Xu Yang
author_facet Liangming Hu
Shuyu Li
Junfu Zhu
Xu Yang
author_sort Liangming Hu
collection DOAJ
description To establish the mathematic model of the constitutive relation and failure criteria of plastic concrete under true triaxial compressive stress, uniaxial compressive strength and true triaxial compressive strength of plastic concrete under three kinds of confining pressures with a size of 150 × 150 × 150 mm<sup>3</sup> and a curing age of 540 days were tested, and the elastic modulus of plastic concrete with a size of 150 × 150 × 300 mm<sup>3</sup> and a curing age of 90 days was tested. Based on the database, under uniaxial compressive stress tests and true triaxial compressive stress tests, the mathematic model of constitutive relation and the failure criteria of plastic concrete were investigated. It was observed that the strength of plastic concrete increased with confining stress. The mathematic model of constitutive relation in the form of the quartic polynomial is in good agreement with measured data. The general equations of failure criteria based on the octahedral stress-space under true triaxial compressive stress in the form of quadratic polynomial are well-fitting with experimental data. The mathematic model of constitutive relation and failure criteria of plastic concrete could provide the basis for a numerical simulation analysis of plastic concrete under true triaxial compressive stress, as well as promote the engineering application of plastic concrete.
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spelling doaj.art-e00f36bc804747518a6b7750676cfcbb2023-11-21T02:54:46ZengMDPI AGMaterials1996-19442020-12-0114110210.3390/ma14010102Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive StressLiangming Hu0Shuyu Li1Junfu Zhu2Xu Yang3School of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaTo establish the mathematic model of the constitutive relation and failure criteria of plastic concrete under true triaxial compressive stress, uniaxial compressive strength and true triaxial compressive strength of plastic concrete under three kinds of confining pressures with a size of 150 × 150 × 150 mm<sup>3</sup> and a curing age of 540 days were tested, and the elastic modulus of plastic concrete with a size of 150 × 150 × 300 mm<sup>3</sup> and a curing age of 90 days was tested. Based on the database, under uniaxial compressive stress tests and true triaxial compressive stress tests, the mathematic model of constitutive relation and the failure criteria of plastic concrete were investigated. It was observed that the strength of plastic concrete increased with confining stress. The mathematic model of constitutive relation in the form of the quartic polynomial is in good agreement with measured data. The general equations of failure criteria based on the octahedral stress-space under true triaxial compressive stress in the form of quadratic polynomial are well-fitting with experimental data. The mathematic model of constitutive relation and failure criteria of plastic concrete could provide the basis for a numerical simulation analysis of plastic concrete under true triaxial compressive stress, as well as promote the engineering application of plastic concrete.https://www.mdpi.com/1996-1944/14/1/102plastic concreteconstitutive relationfailure criteriatrue triaxial compressive stressstress-strain behavior
spellingShingle Liangming Hu
Shuyu Li
Junfu Zhu
Xu Yang
Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress
Materials
plastic concrete
constitutive relation
failure criteria
true triaxial compressive stress
stress-strain behavior
title Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress
title_full Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress
title_fullStr Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress
title_full_unstemmed Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress
title_short Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress
title_sort mathematical model of constitutive relation and failure criteria of plastic concrete under true triaxial compressive stress
topic plastic concrete
constitutive relation
failure criteria
true triaxial compressive stress
stress-strain behavior
url https://www.mdpi.com/1996-1944/14/1/102
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AT junfuzhu mathematicalmodelofconstitutiverelationandfailurecriteriaofplasticconcreteundertruetriaxialcompressivestress
AT xuyang mathematicalmodelofconstitutiverelationandfailurecriteriaofplasticconcreteundertruetriaxialcompressivestress