A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State

The mechanical behavior of geomaterials under plane-strain biaxial stress state (PSBSS, a special case of biaxial stress state) is often considered in geotechnical structures such as highwall and longwall coal pillars. In this study, a modified statistical damage constitutive model based on Weibull...

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Main Authors: Hongwei Zhang, Zhijun Wan, Chaoyi Wang, Zhaoyang Ma, Yuan Zhang, Jingyi Cheng
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/3807401
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author Hongwei Zhang
Zhijun Wan
Chaoyi Wang
Zhaoyang Ma
Yuan Zhang
Jingyi Cheng
author_facet Hongwei Zhang
Zhijun Wan
Chaoyi Wang
Zhaoyang Ma
Yuan Zhang
Jingyi Cheng
author_sort Hongwei Zhang
collection DOAJ
description The mechanical behavior of geomaterials under plane-strain biaxial stress state (PSBSS, a special case of biaxial stress state) is often considered in geotechnical structures such as highwall and longwall coal pillars. In this study, a modified statistical damage constitutive model based on Weibull distribution was established to explain the mechanical behavior of rocks under the PSBSS. The modified Wiebols-Cook criterion, Drucker-Prager criterion, and extremum method were adopted in this model to estimate the peak strength of rock, the strength level of microscopic element, and the statistical parameters of model, respectively. Besides, laboratory tests for brittle and ductile geomaterials under PSBSS were conducted using the modified surface instability detection apparatus to validate the accuracy of the proposed statistical damage model. Finally, the relationships between mechanical parameters and statistical parameters were studied and discussed.
format Article
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institution Kabale University
issn 1687-9120
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language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-50b72f05f2134b36b5ad2f25c65ac0242025-02-03T00:59:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/38074013807401A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress StateHongwei Zhang0Zhijun Wan1Chaoyi Wang2Zhaoyang Ma3Yuan Zhang4Jingyi Cheng5Key Laboratory of Deep Coal Resource Mining (CUMT), Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaKey Laboratory of Deep Coal Resource Mining (CUMT), Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaDepartment of Energy and Mineral Engineering, EMS Energy Institute and G3 Center, The Pennsylvania State University, University Park, PA 16802, USAKey Laboratory of Deep Coal Resource Mining (CUMT), Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaKey Laboratory of Deep Coal Resource Mining (CUMT), Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaKey Laboratory of Deep Coal Resource Mining (CUMT), Ministry of Education of China, School of Mines, China University of Mining & Technology, Xuzhou 221116, ChinaThe mechanical behavior of geomaterials under plane-strain biaxial stress state (PSBSS, a special case of biaxial stress state) is often considered in geotechnical structures such as highwall and longwall coal pillars. In this study, a modified statistical damage constitutive model based on Weibull distribution was established to explain the mechanical behavior of rocks under the PSBSS. The modified Wiebols-Cook criterion, Drucker-Prager criterion, and extremum method were adopted in this model to estimate the peak strength of rock, the strength level of microscopic element, and the statistical parameters of model, respectively. Besides, laboratory tests for brittle and ductile geomaterials under PSBSS were conducted using the modified surface instability detection apparatus to validate the accuracy of the proposed statistical damage model. Finally, the relationships between mechanical parameters and statistical parameters were studied and discussed.http://dx.doi.org/10.1155/2017/3807401
spellingShingle Hongwei Zhang
Zhijun Wan
Chaoyi Wang
Zhaoyang Ma
Yuan Zhang
Jingyi Cheng
A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State
Advances in Mathematical Physics
title A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State
title_full A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State
title_fullStr A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State
title_full_unstemmed A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State
title_short A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State
title_sort statistical damage constitutive model for geomaterials under plane strain biaxial stress state
url http://dx.doi.org/10.1155/2017/3807401
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