基于模量软化法饱和粉砂永久剪切变形计算研究
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摘要
基于传统的模量软化法和双曲线弹性本构模型建立永久变形随时间变化的表达式。通过与动三轴试验结果对比发现,此类方法在应用于循环荷载下易液化的粉砂的永久变形计算时,具有明显的局限性。因此,结合粉砂容易液化而产生流变的特性,在力的平衡方程中引入流变项。通过分析力的平衡方程,发现引入流变项后能够更好地描述土体破坏前后的永久变形发展规律。同时,得出了方程中相关参数的计算方法,并将数值计算结果与试验结果进行比较,发现两者吻合度较高。研究为循环荷载作用下粉砂的永久剪切变形计算提供了一种新思路。
Based on the viewpoint of traditional modulus softening method and hyperbolic constitutive model,a formula of permanent deformation changing with time was established. Compared with results of dynamic triaxial test,it was found that the formula was impossibly used for the silty sand which was easily liquefied. On this basis,a rheological term was introduced into the stress equilibrium equation,by which the character of silty sand permanent deformation could be described properly. At the meantime,the way of calculating related parameters in the equations was also introduced. Plugging these parameters into the equilibrium equation,it showed that the numerical calculating results were highly identical with the test results. Although some problems needing for further studies,a new idea in studying the permanent strain was provided.
Based on the viewpoint of traditional modulus softening method and hyperbolic constitutive model,a formula of permanent deformation changing with time was established. Compared with results of dynamic triaxial test,it was found that the formula was impossibly used for the silty sand which was easily liquefied. On this basis,a rheological term was introduced into the stress equilibrium equation,by which the character of silty sand permanent deformation could be described properly. At the meantime,the way of calculating related parameters in the equations was also introduced. Plugging these parameters into the equilibrium equation,it showed that the numerical calculating results were highly identical with the test results. Although some problems needing for further studies,a new idea in studying the permanent strain was provided.
引文
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[11]王志华,周恩全,陈国兴,等.循环荷载下饱和砂土固-液相变特征[J].岩土工程学报,2012,34(9):1 604–1 610.(WANG Zhihua,ZHOU Enquan,Chen Guoxing,et al.Characteristics of solid-liquid phase change of saturated sand under cyclic loading[J].Chinese Journal of Geotechnical Engineering,2012,34(9):1 604–1 610.(in Chinese))
[12]殷宗泽.土工原理[M].北京:中国水利水电出版社,2007:493–494.(YIN Zongze.Soil theory[M].Beijing:China Water Power Press,2007:493–494.(in Chinese))
[13]吴世明.土动力学[M].北京:中国建筑工业出版社,2000:119–124.(WU Shiming.Soil dynamics[M].Beijing:China Architecture and Building Press,2000:119–124.(in Chinese))
[14]HARDIN B O,DRNEVICH V P.Shear modulus and damping in soils[J].Journal of the Soil Mechanics and Foundations Division,1972,98(7):667–692.
[15]周海燕,陈云敏,柯瀚.砂土液化势剪切波速简化判别方法改进[J].岩石力学与工程学报,2005,24(13):2 369–2 375.(ZHOU Haiyan,CHEN Yunmin,KE Han.Improvement of simplified procedure for liquefaction potential evaluation of sands by shear wave velocity[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(13):2 369–2 375.(in Chinese))
[16]凌贤长,唐亮,于恩庆.可液化场地地振动孔隙水压力增长研究的大型振动台试验及数值模拟[J].岩石力学与工程学报,2006,25(增2):3 998–4 003.(LIN Xianchang,TANG Liang,YU Enqing.Large scale shaking table test and its numerical simulation of research on build-up behavior of seismically induced pore water pressure in liquefiable site[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.2):3 998–4 003.(in Chinese))
[2]NEWMARK N M.Earthquake effects on dams and embankments[C]//Proceedings of Structure Engineering Conference.New York:ASCEPress,1963:7–11.
[3]谢定义.土动力学[M].北京:高等教育出版社,2011:543–544.(XIE Dingyi.Soil dynamics[M].Beijing:Higher Education Press,2011:543–544.(in Chinese))
[4]姜朴,徐亦敏,娄炎.在周期荷载下砂土的孔隙压力与残余应变[J].华东水利学院学报,1984,(2):46–53.(JIANG Pu,XU Yimin,LOU Yan.Pore pressure and residual strain of soil under cyclic load[J].Journal of East China Technical University of Water Resources,1984,(2):46–53.(in Chinese))
[5]TANIGUCHI E,WHITMAN R V,MARR W A.Prediction of earthquake-induced deformation of earth dams[J].Soils and Foundations,1983,23(4):126–132.
[6]沈珠江.砂土动力液化变形的有效应力分析方法[J].水利水运科学研究,1982,(4):22–32.(SHEN Zhujiang.An effective stress method for dynamic ally coupled liquefaction and deformation analysis of sand[J].Journal of Nanjing Hydraulicresearch Institute,1982,(4):22–32.(in Chinese))
[7]李红军,迟世春,林皋.基于模量逐步软化的真拟静力永久变形计算方法[J].大连理工大学学报.2008,48(1):118–123.(LI Hongjun,CHI Shichun,LIN Gao.Calculation method of real pseudo-static permanent deformation based on step-by-step softening modulus[J].Journal of Dalian University of Technology,2008,48(1):118–123.(in Chinese))
[8]UZUOKA R,YASHIM A,KAWAKAMIC,et al.Fluid dynamics based prediction of liquefaction induced lateral spreading[J].Computers and Geotechnics,1998,22(4):243–282.
[9]DUNGCA J R,KUWANO J,TAKAHASHI,et al.Shaking table tests on the lateral response of pile buried in liquefied sand[J].Soil Dynamics and Earthquake Engineering,2006,26(2/4):287–295.
[10]刘汉龙.土动力学与土工抗震研究进展综述[J].土木工程学报,2012,45(4):148–164.(LIU Hanlong.A review of recent advances in soil dynamics and geotechnical earthquake engineering[J].China Civil Engineering Journal,2012,45(4):148–164.(in Chinese))
[11]王志华,周恩全,陈国兴,等.循环荷载下饱和砂土固-液相变特征[J].岩土工程学报,2012,34(9):1 604–1 610.(WANG Zhihua,ZHOU Enquan,Chen Guoxing,et al.Characteristics of solid-liquid phase change of saturated sand under cyclic loading[J].Chinese Journal of Geotechnical Engineering,2012,34(9):1 604–1 610.(in Chinese))
[12]殷宗泽.土工原理[M].北京:中国水利水电出版社,2007:493–494.(YIN Zongze.Soil theory[M].Beijing:China Water Power Press,2007:493–494.(in Chinese))
[13]吴世明.土动力学[M].北京:中国建筑工业出版社,2000:119–124.(WU Shiming.Soil dynamics[M].Beijing:China Architecture and Building Press,2000:119–124.(in Chinese))
[14]HARDIN B O,DRNEVICH V P.Shear modulus and damping in soils[J].Journal of the Soil Mechanics and Foundations Division,1972,98(7):667–692.
[15]周海燕,陈云敏,柯瀚.砂土液化势剪切波速简化判别方法改进[J].岩石力学与工程学报,2005,24(13):2 369–2 375.(ZHOU Haiyan,CHEN Yunmin,KE Han.Improvement of simplified procedure for liquefaction potential evaluation of sands by shear wave velocity[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(13):2 369–2 375.(in Chinese))
[16]凌贤长,唐亮,于恩庆.可液化场地地振动孔隙水压力增长研究的大型振动台试验及数值模拟[J].岩石力学与工程学报,2006,25(增2):3 998–4 003.(LIN Xianchang,TANG Liang,YU Enqing.Large scale shaking table test and its numerical simulation of research on build-up behavior of seismically induced pore water pressure in liquefiable site[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(Supp.2):3 998–4 003.(in Chinese))
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