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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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| 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 |
| id | doaj-art-50b72f05f2134b36b5ad2f25c65ac024 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| 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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