Three-dimensional modified Cam-clay model for structured soils
-
摘要: 土的结构性和应力状态是影响土力学行为的重要因素,在临界状态土力学框架内,考虑中间主应力的作用,结合统一强度理论,引入洛德角推导出统一强度参数,对临界状态线进行修正,使其能够反映不同应力状态下的临界状态。考虑结构性的影响,将其引入修正剑桥模型屈服函数中,采用非相关联流动法则,确定剪胀应力方程,建立可以反映中间主应力的结构性本构模型。采用黏性土的真三轴试验对所建立本构方程进行验证,结果表明所建立的本构模型可以较好的预测三维应力状态下的本构模型,验证了模型的合理性。Abstract: The mechanical behaviors of soils are dependent upon the structure and the stress state. Based on the unified strength theory, the unified strength parameters are proposed by introducing Lode's angle into the unified strength theory. The critical state line is modified by considering the effect of the intermediate principle stress under the framework of the critical state concept. The effects of structure are introduced into the yield function of the modified Cam-clay model. The non-associated flow law is adopted. The equation for dilatancy stress is determined. A structural constitutive model that can reflect the effects of the intermediate principal stress is proposed. The model is verified by true triaxial tests of a clay. The results show that the proposed model can predict the stress-strain relationships well.
-
Keywords:
- structure /
- constitutive model /
- critical state line /
- three-dimensional stress state
-
-
[1] 姚仰平. UH模型系列研究. 岩土工程学报, 2015, 37(2): 194–216. doi: 10.11779/CJGE201502001 Yao Yang-ping. Advanced UH models for soils[J]. Chinese Journal Geotechnical of Engineering, 37(2): 194–216. (in Chinese) doi: 10.11779/CJGE201502001
[2] CHAI J C, MIURA N, ZHU H H, et al. Compression and consolidation characteristics of structured natural clay[J]. Canadian Geotechnical Journal, 2004, 41(6): 1250–1258. doi: 10.1139/t04-056
[3] LIU M D, CARTER J P. A structured Cam Clay model[J]. Canadian Geotechnical Journal, 2002, 39(6): 1313–1332. doi: 10.1139/t02-069
[4] SUEBSUK J, HORPIBULSUK S, LIU M D. Modified Structured Cam Clay: a generalised critical state model for destructured, naturally structured and artificially structured clays[J]. Computers and Geotechnics, 2010, 37(7/8): 956–968.
[5] NGUYEN L, FATAHI B. Behaviour of clay treated with cement & fibre while capturing cementation degradation and fibre failure–C3F Model[J]. International Journal of Plasticity, 2016, 81: 168–195. doi: 10.1016/j.ijplas.2016.01.015
[6] 沈珠江. 土体结构性的数学模型: 21世纪土力学的核心问题[J]. 岩土工程学报, 1996, 18(1): 95–97. http://cge.nhri.cn/cn/article/id/8998 SHEN Zhu-jiang. Mathematical model of soil structure──the core problem of soil mechanics in 21st century[J]. Chinese Journal of Geotechnical Engineering, 1996, 18(1): 95–97. (in Chinese) http://cge.nhri.cn/cn/article/id/8998
[7] 沈珠江. 结构性粘土的堆砌体模型[J]. 岩土力学, 2000(1): 1–4. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200001000.htm SHEN Zhu-jiang. A masonry model for structured clays[J]. Rock and Soil Mechanics, 2000(1): 1–4. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200001000.htm
[8] 张玉伟, 翁效林, 宋战平, 等. 考虑黄土结构性和各向异性的修正剑桥模型[J]. 岩土力学, 2019, 40(3): 1030–1038. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201903023.htm ZHANG Yu-wei, WENG Xiao-lin, SONG Zhan-ping, et al. A modified Cam-clay model for structural and anisotropic loess[J]. Rock and Soil Mechanics, 2019, 40(3): 1030–1038. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201903023.htm
[9] 谢定义, 齐吉琳, 张振中. 考虑土结构性的本构关系[J]. 土木工程学报, 2000, 33(4): 35–41. https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC200004007.htm XIE Ding-yi, QI Ji-lin, ZHANG Zhen-zhong. A constitutive laws considering soil structural properties[J]. China Civil Engineering Journal, 2000, 33(4): 35–41. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC200004007.htm
[10] 邵生俊, 周飞飞, 龙吉勇. 原状黄土结构性及其定量化参数研究[J]. 岩土工程学报, 2004, 26(4): 531–536. http://cge.nhri.cn/cn/article/id/11464 SHAO Sheng-jun, ZHOU Fei-fei, LONG Ji-yong. Structural properties of loess and its quantitative parameter[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(4): 531–536. (in Chinese) http://cge.nhri.cn/cn/article/id/11464
[11] YU M H, HE L N. A New Model and Theory on Yield and Failure of Materials under the Complex Stress State[M]// Mechanical Behaviour of Materials Ⅵ. Amsterdam: Elsevier, 1992: 841–846.
[12] 殷宗泽, 赵航. 中主应力对土体本构关系的影响[J]. 河海大学学报, 1990, 18(5): 54–61. https://www.cnki.com.cn/Article/CJFDTOTAL-HHDX199005006.htm YIN Zong-ze, ZHAO Hang. Effect of middle principal stress on constitutive relationship[J]. Journal of Hohai University (Natural Sciences), 1990, 18(5): 54–61. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HHDX199005006.htm
[13] LADE P V, MUSANTE H M. Three-dimensional behavior of remolded clay[J]. Journal of the Geotechnical Engineering Division, 1978, 104(2): 193–209.
-
期刊类型引用(5)
1. 田晓丹,姜晓桢,殷友超,石泽译. 基于土工膜透声特性的膜下垫层渗透变形声波特征试验研究. 水利水电科技进展. 2025(02): 31-37 . 百度学术
2. 张宪雷,马仲阳,刘贺松. 高面膜堆石坝周边缝处PVC-P土工膜渗透机理. 岩土工程学报. 2024(11): 2333-2340 . 本站查看
3. 张宪雷,马仲阳,吴云云. 面膜堆石坝不同品种土工膜力学特性. 岩土工程学报. 2023(05): 940-952 . 本站查看
4. 徐国雷,张宪雷,马仲阳. 基于低场核磁共振技术面膜堆石坝中PVC膜渗透机理. 水电能源科学. 2022(12): 138-142 . 百度学术
5. 黄耀英,谢同,费大伟,包腾飞,颜剑. 基于测压管实测水位的王甫洲水利工程复合土工膜工作性态反馈. 岩土工程学报. 2021(03): 564-571 . 本站查看
其他类型引用(2)