Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase
Based on continuum damage mechanics and the assumption of volume invariance, a damage constitutive model of cemented sand under triaxial stress was established while considering residual strength. Statistical theory was then introduced into this model. Assuming that the microunit strength of cemente...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/1410893 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559934205591552 |
|---|---|
| author | Cai Tan Ming-dao Yuan Yong-sheng Shi Bing-sheng Zhou Hao Li |
| author_facet | Cai Tan Ming-dao Yuan Yong-sheng Shi Bing-sheng Zhou Hao Li |
| author_sort | Cai Tan |
| collection | DOAJ |
| description | Based on continuum damage mechanics and the assumption of volume invariance, a damage constitutive model of cemented sand under triaxial stress was established while considering residual strength. Statistical theory was then introduced into this model. Assuming that the microunit strength of cemented sand obeys a Weibull random distribution, an expression of microunit strength based on the Mohr–Coulomb criterion was derived. Additionally, a damage evolution equation and a statistical damage constitutive model of cemented sand under triaxial stress were established. In order to consider the nonlinear deformation and volume change in the initial pore compaction stage, the critical point reflecting the completion of the initial compaction stage was determined. This was done by applying the volume invariance assumption to the linear portion of the stress and strain curve and performing a coordinate transformation. The nonlinearity of the initial compaction stage was fitted by a quadratic function. A triaxial compression test of cemented sand was then carried out to verify this proposed method. The results show that the calculated values by the damage constitutive model fit well with the actual experimental values and that the calculated results can reflect the stress softening, residual strength, and initial compaction characteristics of cemented sand, which shows the rationality and feasibility of the model. |
| format | Article |
| id | doaj-art-d442bafbfdd047a99320715df80f5b87 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-d442bafbfdd047a99320715df80f5b872025-02-03T01:28:59ZengWileyAdvances in Civil Engineering1687-80861687-80942018-01-01201810.1155/2018/14108931410893Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction PhaseCai Tan0Ming-dao Yuan1Yong-sheng Shi2Bing-sheng Zhou3Hao Li4Guangdong Research Institute of Water Resources and Hydropower, Guangzhou 510610, ChinaGuangdong Research Institute of Water Resources and Hydropower, Guangzhou 510610, ChinaGuangdong Research Institute of Water Resources and Hydropower, Guangzhou 510610, ChinaKey Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, Jiangsu 210098, ChinaState Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource & Hydropower Engineering, Sichuan University, Chengdu 610065, ChinaBased on continuum damage mechanics and the assumption of volume invariance, a damage constitutive model of cemented sand under triaxial stress was established while considering residual strength. Statistical theory was then introduced into this model. Assuming that the microunit strength of cemented sand obeys a Weibull random distribution, an expression of microunit strength based on the Mohr–Coulomb criterion was derived. Additionally, a damage evolution equation and a statistical damage constitutive model of cemented sand under triaxial stress were established. In order to consider the nonlinear deformation and volume change in the initial pore compaction stage, the critical point reflecting the completion of the initial compaction stage was determined. This was done by applying the volume invariance assumption to the linear portion of the stress and strain curve and performing a coordinate transformation. The nonlinearity of the initial compaction stage was fitted by a quadratic function. A triaxial compression test of cemented sand was then carried out to verify this proposed method. The results show that the calculated values by the damage constitutive model fit well with the actual experimental values and that the calculated results can reflect the stress softening, residual strength, and initial compaction characteristics of cemented sand, which shows the rationality and feasibility of the model.http://dx.doi.org/10.1155/2018/1410893 |
| spellingShingle | Cai Tan Ming-dao Yuan Yong-sheng Shi Bing-sheng Zhou Hao Li Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase Advances in Civil Engineering |
| title | Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase |
| title_full | Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase |
| title_fullStr | Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase |
| title_full_unstemmed | Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase |
| title_short | Statistical Damage Constitutive Model for Cemented Sand considering the Residual Strength and Initial Compaction Phase |
| title_sort | statistical damage constitutive model for cemented sand considering the residual strength and initial compaction phase |
| url | http://dx.doi.org/10.1155/2018/1410893 |
| work_keys_str_mv | AT caitan statisticaldamageconstitutivemodelforcementedsandconsideringtheresidualstrengthandinitialcompactionphase AT mingdaoyuan statisticaldamageconstitutivemodelforcementedsandconsideringtheresidualstrengthandinitialcompactionphase AT yongshengshi statisticaldamageconstitutivemodelforcementedsandconsideringtheresidualstrengthandinitialcompactionphase AT bingshengzhou statisticaldamageconstitutivemodelforcementedsandconsideringtheresidualstrengthandinitialcompactionphase AT haoli statisticaldamageconstitutivemodelforcementedsandconsideringtheresidualstrengthandinitialcompactionphase |