Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure
Based on Lemaitre’s strain equivalence hypothesis theory, it is assumed that the strength of acid-etching rock microelements under the coupling effect of temperature and confining pressure follows the Weibull distribution. Under the hypothesis that micro-element damage meets the D-P criterion and ba...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-12-01
|
| Series: | Materials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1944/14/23/7414 |
| _version_ | 1797507495880556544 |
|---|---|
| author | Youliang Chen Peng Xiao Xi Du Suran Wang Zhoulin Wang Rafig Azzam |
| author_facet | Youliang Chen Peng Xiao Xi Du Suran Wang Zhoulin Wang Rafig Azzam |
| author_sort | Youliang Chen |
| collection | DOAJ |
| description | Based on Lemaitre’s strain equivalence hypothesis theory, it is assumed that the strength of acid-etching rock microelements under the coupling effect of temperature and confining pressure follows the Weibull distribution. Under the hypothesis that micro-element damage meets the D-P criterion and based on continuum damage mechanics and statistical theory, chemical damage variables, thermal damage variables and mechanical damage variables were introduced in the construction of damage evolution equations and constitutive models for acid-etching rocks considering the coupled effects of temperature and confining pressure. The required model parameters were obtained by theoretical derivation, and the model was verified based on the triaxial compression test data of granite. Comparing the experimental stress-strain curve with the theoretical stress-strain curve, the results show that they were in good agreement. By selecting reasonable model parameters, the damage statistical constitutive model can accurately reflect the stress-strain curve characteristics of rock in the process of triaxial compression. The comparison between the experimental and theoretical results also verifies the reasonableness and reliability of the model. This model provides a new rock damage statistical constitutive equation for the study of rock mechanics and its application in engineering, and has certain reference significance for rock underground engineering. |
| first_indexed | 2024-03-10T04:49:16Z |
| format | Article |
| id | doaj.art-49daa9ce73d04c03b9adc6f0a1684069 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T04:49:16Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-49daa9ce73d04c03b9adc6f0a16840692023-11-23T02:43:13ZengMDPI AGMaterials1996-19442021-12-011423741410.3390/ma14237414Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining PressureYouliang Chen0Peng Xiao1Xi Du2Suran Wang3Zhoulin Wang4Rafig Azzam5Department of Civil Engineering, School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Civil Engineering, School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Civil Engineering, School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Underground Architecture and Engineering, Tongji University, Shanghai 200093, ChinaShanghai Key Laboratory of Engineering Structure Safety, SRIBS, Shanghai 200032, ChinaDepartment of Engineering Geology and Hydrogeology, RWTH Aachen University, 52064 Aachen, GermanyBased on Lemaitre’s strain equivalence hypothesis theory, it is assumed that the strength of acid-etching rock microelements under the coupling effect of temperature and confining pressure follows the Weibull distribution. Under the hypothesis that micro-element damage meets the D-P criterion and based on continuum damage mechanics and statistical theory, chemical damage variables, thermal damage variables and mechanical damage variables were introduced in the construction of damage evolution equations and constitutive models for acid-etching rocks considering the coupled effects of temperature and confining pressure. The required model parameters were obtained by theoretical derivation, and the model was verified based on the triaxial compression test data of granite. Comparing the experimental stress-strain curve with the theoretical stress-strain curve, the results show that they were in good agreement. By selecting reasonable model parameters, the damage statistical constitutive model can accurately reflect the stress-strain curve characteristics of rock in the process of triaxial compression. The comparison between the experimental and theoretical results also verifies the reasonableness and reliability of the model. This model provides a new rock damage statistical constitutive equation for the study of rock mechanics and its application in engineering, and has certain reference significance for rock underground engineering.https://www.mdpi.com/1996-1944/14/23/7414rock mechanicsacid corrosioncoupling effect of temperature and confining pressureWeibull distributiondamage variableconstitutive model |
| spellingShingle | Youliang Chen Peng Xiao Xi Du Suran Wang Zhoulin Wang Rafig Azzam Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure Materials rock mechanics acid corrosion coupling effect of temperature and confining pressure Weibull distribution damage variable constitutive model |
| title | Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure |
| title_full | Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure |
| title_fullStr | Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure |
| title_full_unstemmed | Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure |
| title_short | Study on Damage Statistical Constitutive Model of Triaxial Compression of Acid-Etched Rock under Coupling Effect of Temperature and Confining Pressure |
| title_sort | study on damage statistical constitutive model of triaxial compression of acid etched rock under coupling effect of temperature and confining pressure |
| topic | rock mechanics acid corrosion coupling effect of temperature and confining pressure Weibull distribution damage variable constitutive model |
| url | https://www.mdpi.com/1996-1944/14/23/7414 |
| work_keys_str_mv | AT youliangchen studyondamagestatisticalconstitutivemodeloftriaxialcompressionofacidetchedrockundercouplingeffectoftemperatureandconfiningpressure AT pengxiao studyondamagestatisticalconstitutivemodeloftriaxialcompressionofacidetchedrockundercouplingeffectoftemperatureandconfiningpressure AT xidu studyondamagestatisticalconstitutivemodeloftriaxialcompressionofacidetchedrockundercouplingeffectoftemperatureandconfiningpressure AT suranwang studyondamagestatisticalconstitutivemodeloftriaxialcompressionofacidetchedrockundercouplingeffectoftemperatureandconfiningpressure AT zhoulinwang studyondamagestatisticalconstitutivemodeloftriaxialcompressionofacidetchedrockundercouplingeffectoftemperatureandconfiningpressure AT rafigazzam studyondamagestatisticalconstitutivemodeloftriaxialcompressionofacidetchedrockundercouplingeffectoftemperatureandconfiningpressure |