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| Non coaxial sub-loading surface model and its application in numerical simulation of foundation bearing characteristics |
| KONG Liang1,2,WANG Xing2,LI Xuefeng3 |
(1. School of Sciences,Qingdao University of Technology,Qingdao,Shandong 266033,China;2. School of Civil Engineering,Qingdao University of Technology,Qingdao,Shandong 266033,China;3. Solid Mechanics Institute,
Ningxia University,Yinchuan,Ningxia 750021,China) |
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Abstract The traditional elasto-plastic models cannot consider the non-coaxial plastic deformation of soils when simulating the bearing capacity of foundations. In this paper,a non-coaxial plastic model was established by introducing the modified non-coaxial theory into the sub-loading surface model,and the model was embedded into ABAQUS software through the user material subroutine interface. Then,the model was used to predict the bearing characteristics of clay foundations with different degrees of over-consolidation. The results show that,when the non-coaxial plasticity is considered,the predicted maximum settlement increases with decreasing the non-coaxial plastic modulus,and that the influence of the non-coaxial plastic modulus on the simulation results is related to the over-consolidation degree of foundation soils. In addition,decreasing the non-coaxial plastic modulus to the shear modulus will have a relatively significant effect on the predicted maximum settlement. Therefore,when the actual non-coaxial plastic modulus is less than the shear modulus,the influence of the non-coaxial plastic deformation should be carefully considered in foundation engineering to ensure safety.
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[1] 郑颖人,孔 亮. 岩土塑性力学[M]. 2版.北京:中国建筑工业出版社,2019:110–111.(ZHENG Yingren,KONG Liang. Geotechnical plastic mechanics[M]. 2nd ed. Beijing:China Architecture and Building Press,2019:110–111.(in Chinese))
[2] 杨光华. 土的现代本构理论的发展回顾与展望[J]. 岩土工程学报,2018,40(8):6–15.(YANG Guanghua. Review of progress and prospect of modern constitutive theories for soils[J]. Chinese Journal of Geotechnical Engineering,2018,40(8):6–15.(in Chinese))
[3] 王 兴,孔 亮,李学丰. 基于改进角点理论的砂土非共轴模型及其应用[J]. 岩土工程学报,2021, 43(2):254–262.(WANG Xing,KONG Liang,LI Xuefeng. A non-coaxial sand model based on an improved vertex theory and its application[J]. Chinese Journal of Geotechnical Engineering,2021,43(2):254–262.(in Chinese))
[4] 严佳佳,周 建,管林波,等. 杭州原状软黏土非共轴特性与其影响因素试验研究[J] . 岩土工程学报,2013,35(1):97–102.(YAN Jiajia,ZHOU Jian,GUAN Linbo,et al. Experimental study on non-coaxiality and influence factors of intact Hangzhou soft clay[J]. Chinese Journal of Geotechnical Engineering,2013,35(1):97–102.(in Chinese))
[5] 杨彦豪,周 建,周红星. 主应力轴旋转条件下软黏土的非共轴研究[J]. 岩石力学与工程学报,2015,34(6):1 259–1 266.(YANG Yanhao,ZHOU Jian,ZHOU Hongxing. Non-coaxial behaviour of soft clay subjected to principal stress rotation[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(6):1 259–1 266.(in Chinese))
[6] CAI Y,YU H S,WANATOWSKI D,et al. Noncoaxial Behavior of Sand under Various Stress Paths[J]. Journal of Geotechnical and Geoenvironmental Engineering,2012,139(8):1 381–1 395.
[7] YUAN R,YU H S,HU N,et al. Non-coaxial soil model with an anisotropic yield criterion and its application to the analysis of strip footing problems[J]. Computers and Geotechnics,2018,99:80–92.
[8] YANG Y,YU H S. Application of a non-coaxial soil model in shallow foundations[J]. Geomechanics and Geoengineering:An International Journal,2006,1(2):139–150.
[9] 刘元雪,郑颖人. 含主应力轴旋转的土体平面应变问题弹塑性数值模拟[J]. 计算力学学报,2001,18(2):239–241.(LIU Yuanxue,ZHENG Yingren. Elastoplastic numerical simulation of plane strain problems of soils involving rotation of principal stress axes[J]. Chinese Journal of Computational Mechanics,2001,18(2):239–241.(in Chinese))
[10] GUTIERREZ M,WANG J. Non-coaxial version of rowe's stress-dilatancy relation[J]. Granular Matter,2009,11(2):129–137.
[11] WANG Z L,DAFALIAS Y F,SHEN C K. Bounding surface hypoplasticity model for sand[J]. Journal of Engineering Mechanics,1990,116(5):983–1 001.
[12] LI X S,DAFALIAST Y F. A constitutive framework for anisotropic sand including non-proportional loading[J]. Geotechnique,2004,54(1):41–55.
[13] GAO Z,ZHAO J. A non-coaxial critical-state model for sand accounting for fabric anisotropy and fabric evolution[J]. International Journal of Solids and Structures,2016,106–107:200–212.
[14] TIAN Y,YAO Y P. Constitutive modeling of principal stress rotation by considering inherent and induced anisotropy of soils[J]. Acta Geotechnica,2018,13(6):1 299–1 311.
[15] CHEN Z,HUANG M. Non-coaxial behavior modeling of sands subjected to principal stress rotation[J]. Acta Geotechnica,2020,15(3):655–669.
[16] PETALAS A,DAFALIAS Y F,PAPADIMITRIOU A G. SANISAND-FN:An evolving fabric-based sand model accounting for stress principal axes rotation[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2019,43(1):97–123.
[17] HASHIGUCHI K,SAITOH K,OKAYASU T,et al. Evaluation of typical conventional and unconventional plasticity models for prediction of softening behaviour of soils[J]. Geotechnique,2002,4(8):357–366.
[18] 孔 亮,郑颖人,姚仰平. 基于广义塑性力学的土体次加载面循环塑性模型(I):理论与模型[J]. 岩土力学,2003,24(2):141–145.(KONG Liang,ZHENG Yingren,YAO Yangping. Subloading surface cyclic plastic model for soil based on Generalized plasticity(I):Theory and model[J]. Rock and Soil Mechanics,2003,24(2):141–145.(in Chinese))
[19] 孔 亮,郑颖人,姚仰平. 基于广义塑性力学的土体次加载面循环塑性模型(II):本构方程与验证[J]. 岩土力学,2003,24(3):350–354. (KONG Liang,ZHENG Yingren,YAO Yangping. Subloading surface cyclic plastic model for soil based on Generalized plasticity(I):Theory and model[J]. Rock and Soil Mechanics,2003,24(3):350–354.(in Chinese))
[20] HASHIGUCHI K,TSUTSUMI S. Shear band formation analysis in soils by the subloading surface model with tangential stress rate effect[J]. International Journal of Plasticity,2003,19(10):1 651–1 677.
[21] 钱建固,黄茂松. 复杂应力状态下岩土体的非共轴塑性流动理论[J]. 岩石力学与工程学报,2006,25(6):1 259–1 264.(QIAN Jiangu,HUANG Maosong. Non-coaxial plastic flow theory in multi-dimensional stress state[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(6):1 259–1 264.(in Chinese))
[22] NAKAI T,HINOKIO M. A simple elastoplastic model for normally and over consolidated soils with unified material parameters[J]. Soils and Foundations,2004,44(2):53–70.
[23] 姚仰平,侯 伟,罗 汀. 土的统一硬化模型[J]. 岩石力学与工程学报,2009,28(10):2 136–2 150.(YAO Yangping,HOU Wei,LUO Ting. Unified hardening model for soils[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(10):2 136–2 150.(in Chinese))
[24] SLOAN S W. Substepping schemes for the numerical integration of elastoplastic stress-strain relations[J]. International Journal for Numerical Methods in Engineering,2010,24(5):893–911.
[25] SIMO J C,TAYLOR R L. Consistent tangent operators for rate-independent elastoplasticity[J]. Computer Methods in Applied Mechanics and Engineering,1985,48(1):101–118. |
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