土体循环塑性模型研究进展
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摘要
简要归纳了循环荷载作用下土体本构特性和循环塑性模型需满足的力学条件.综合评述了多面、无限多面、两面、单面、边界面、多机构和次加载面模型等常见的土体循环塑性模型及它们预测土的循环加载特性的能力.提出了土体循环塑性模型有待进一步研究的若干问题.
The constitutive behaviors of soils under cyclic loads and the mechanical requirements for cyclic plastic models are briefly summarized. The basic characteristics of several frequently used cyclic plastic models, such as the multi, the infinite, the two, the single, the bounding, the multiple mechanism and the subloading surface models, and their predicting capacity for cyclic loading characteristics of soil are reviewed. Finally, suggestions are made for future studies of soil cyclic plastic models.
The constitutive behaviors of soils under cyclic loads and the mechanical requirements for cyclic plastic models are briefly summarized. The basic characteristics of several frequently used cyclic plastic models, such as the multi, the infinite, the two, the single, the bounding, the multiple mechanism and the subloading surface models, and their predicting capacity for cyclic loading characteristics of soil are reviewed. Finally, suggestions are made for future studies of soil cyclic plastic models.
引文
[1] Mroz Z. On the dscription of anisotropic hardening[J]. J Mech Phys Solids, 1967, 15: 163-175.
[2] Dafalias Y F, Popov E P. A model of nonlinearly hardening materials for complex loading[J]. Acta Mech, 1975, 23 (1) :173 - 192.
[3] Mroz Z, Norris V A, Zienkiewicz O C. An anisotropic, critical state model for soils subjected to cyclic loading [J].Geotechnique, 1981, 31(4): 451 -470
[4] Dafalias Y F, Herrmann L R. A boundary surface soil plasticity model[A]. Pnde G N, Zienkiewicz O C. Proc Int Symp Solisunder Cyclic Trans Load[C]. Rotterdam: Balkema Publ, 1980. 335-345.
[5] Hashiguchi K. Subloading surface model in unconventional plasticity[J]. Int J Solids Structure, 1989, 25(8) : 917 -945.
[6] Hashiguchi K. Mechanical requirement and structures of cyclic plasticity[J]. International Journal of Plasticity, 1993, 9(6): 721 -748.
[7]刘汉龙,余湘娟.土动力学与岩土地震工程研究进展[J].河海大学学报,1999,27(1):6-15.
[8]谢定义.土动力学[M].西安:西安交通大学出版社,1988.172-233.
[9] 吴世明.土动力学[M].北京:中国建筑工业出版社,2001.75-106.
[10]周健,白冰,徐建平.土动力学理论与计算[M].北京:中国建筑工业出版社,2001.91-112.
[11] Hashiguchi K. Foundamentals in constitutive equation: continuity and smoothness conditions and loading criterion [J]. Soilsand Foundations, 2000, 40(4): 155-161.
[12] Iwan W D. On a class of models for the yielding behavior of continuous and composite systems[J]. J Appl Mech, 1967 , 34(3): 612-617.
[13] Provest J H. A simple plastic theoty for frictional cohesionless soils[J]. Soil Dynamics and Eathquake Engineering, 1985,4(1): 9-17.
[14] Mroz Z, Morris V A, Zienkiewicz O C. Application of an anisotropic hardening model in the analysis of elasto-plasticdeformation of soils[J]. Geotechnique, 1979,29(4):1-34.
[15]Zienkiewiez O C.广义塑性力学和地力学的一些模型[J].应用数学与力学,1982,3(3):267-280.
[16] Dafalias Y F, Popov E P. Cyclic loading for materials with a vanishing elastic domain[J]. Nucl Eng Design, 1977, 41(2) :293-302.
[17] Dafalias Y F, Herrmann L R. A boundary surface soil plasticity model [A]. Pnde G N, Zienkiewicz O C. Proc Int SympSolis under Cyclic Trans Load[C]. Rotterdam: Balkema Publ, 1980. 335-356.
[18] Dafalias Y F. Bounding surface plasticity. Part I: Mathematical foundation and hypoplasticity [J]. Journal of EngineeringMechanics, 1986, 112(9): 966-987.
[19] Dafalias Y F, Herrmann L R. Bounding surface plasticity. Part Ⅱ: Application to isotropic cohesive soils[J]. Journal ofEngineering Mechanics, 1986, 112(12): 1263-1291.
[20] Anandarajah A, Dafalias Y F. Bounding surface plasticity. Part Ⅲ: Application to anisotropic cohesive soils [J]. Journal ofEngineering Mechanics, 1986, 112(12): 1292-1318.
[21] Desai C S, Somasundaram S. Constitutive modeling of geological materials-a general procedure[A]. Banerjee P K, ButterfieldR. Developments in Soil Mechanics and Foundation Engineering [C]. New York: Elsevier Science Pub Co, 1985.85-99.
[22] Hirai H. Anaisotropic hardening model for sand subjected to cyclic loading[A]. Cakmak A S. Soil Dynamics Liquefaction[C]. New York: Elsevier Science Pub Co, 1987. 53-67.
[23] Wang Z L. Bounding surface hypo-plasticity model for sand [J]. Journal of Engineering Mechanics, 1990, 116(5):983-1001.
[24] 郑大同,王惠昌.循环荷载作用下土的非线性应力应变模型[J].岩土工程学报,1983,5(1):65-76.
[25] 王建华.饱和软粘土动力特性的弹塑性数值模拟[D].天津:天津大学,1991.
[26]王建华,要明伦.循环应变下饱和砂(粉)土衰化动力特性研究[J].水利学报,1997,(7):24.
[27]徐干成,谢定义,郑颖人.饱和砂土循环应力应变特性的弹塑性模拟研究[J].岩土工程学报,1995,17(2):1.
[28]徐日庆,杨林德,龚晓南.土的边界面应力应变本构关系[J].同济大学学报,1997,25(1):29-33.
[29]孙吉主,周健.往复荷载作用下土体的广义塑性分析[J].岩土力学,2001,22(2):126-129.
[30]伊颖锋,施建勇,周清华.土体小应变特性研究中的边界面模型[J].岩土力学,2003,24(1):135-138.
[31]周成,沈珠江,陈铁林,等.结构性黏土的边界面砌块体模型[J].岩土力学,2003,24(3):317-321.
[32] Matsuoka H. Stress strain relationship of sand based on the mobilized plane [J]. Soils and Foundations, 1974, 14(2):1 -27.
[33] Kabilamany K, Ishihara K. Cyclic behavior of sands by multiple shear mechanism models [J]. Soil Dynamics andEaethquake Engineering, 1991, 10(2): 74-83.
[34] Provest J H. Multi mechanism elastoplastic model for soils [J]. Journal of Engineering Mechanics, 1990, 116(9):1924 - 1944.
[35] Paster M, Zienkiewicz O C, Chan A H C. Generalized plasticity and the modelling of soil behavior[J]. Int J Numer AnalMeth Geomech, 1990, 14: 151 -190.
[36] Iai S, Matsunaga Y, Kaneoka T. Strain space Plasticity model for cyclic mobility [J]. Soils and Foundations, 1992, 32(2):1 -15.
[37]刘汉龙,Susumu Iai.多重剪切机构塑性模型及其验证[A].栾茂田.第五届全国土动力学学术会议论文集[C].大 连:大连理工大学出版社,1998.70-75.
[38]李锦,栾茂田,郭莹.一种砂土动力弹塑性本构模型的探讨[A].栾茂田.第五届全国土动力学学术会议论文集 [C].大连:大连理工大学出版社,1998.76-81.
[39] 丰土根,刘汉龙,高玉峰,等.砂土多机构边界面塑性模型初探[J].岩土工程学报,2002,24(3):382-385.
[40]刘汉龙,丰土根,高玉峰,等.砂土多机构边界面塑性模型及其试验验证[J].岩土力学,2003,24(5):696-700.
[41] 方火浪.饱和砂土循环流动的三维多重机构模型[J].岩土工程学报,2002,24(3):376-381.
[42] Hashiguchi K, Ueno M. Elastoplastic constitutive laws of soils [A]. Publications committee of Ⅸ ICSMFE. ConstitutiveEquations of soils: Proc 9th ICSMFE[C]. Rotterdam: Balkema A A Publ, 1977. 73-82.
[43] Hashiguchi K. Constitutive equation of elastoplastic materials with elastic-plastic transition [J]. J Appl Mech (ASME),1981, 48(7): 297-301.
[44] Hashiguchi K. A mathematical of two surface model formulation in plasticity[J]. Int J Solids Structure, 1988, 24(10):987-1001.
[45] Hashiguchi K. Fundamental requirements and formulation of elatisoplastic constitutive equations with tangential plasticity[J].International Journal of Plasticity, 1993 , 9(5) : 525 -549.
[46] Hashiguchi K. The extended flow rule in plasticity[J]. International Journal of Plasticity, 1997, 13(1) : 37 -58.
[47] Hashiguchi K, Chen Z P. Elastoplastic constitutive equation of soils with the subloading surface and rotational hardening[J].Int J Numer Anal Meth Geomech, 1998, 22: 197 -227.
[48] Hashiguchi K, Collins I F. Stress rate-Elastic stretching relations in elastoplastic constitutive equations for soils[J]. Soils andFoundations, 2001, 41(2) : 77 -88.
[49] Hashiguchi K, Tsutsumi S. Shear band formation analysis in soils by the subloading surface model with tangential stress rateeffect[J]. International Journal of Plasticity, 2003, 19(10): 1651-1677.
[50] Chowdhury E Q, Nakai T, Tawada M, et al. A model for clay using modified stress under various loading conditions with theapplication of subloading concept[J]. Soils and Foundations, 1999, 39(6) : 103 -116.
[51] Asaoka A, Nakano M, Noda T. Superloading yield surface concept for highly structured soil behavior [J]. Soils andFoundations, 2000, 40(2): 99 - 110.
[52] 郑颖人,孔亮.塑性力学的分量理论--广义塑性力学[J].岩土工程学报,2000,22(3):269-274.
[53] 郑颖人,沈珠江,龚晓南.岩土塑性力学原理-广义塑性力学[M].北京:中国建筑工业出版社,2002.72-149.
[54] 孔亮,郑颖人,姚仰平.基于广义塑性力学的土体的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.
[55] 孔亮,郑颖人,姚仰平.基于广义塑性力学的土体的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):317-321.
[56] Kong Liang, Zheng Yingren, Yao Yangping. Subloading surface cyclic plastic model for soil based on generalized plastic mechanics [A]. Yu Yu-zhen, Akagi H. Proceeding of the Sino-Japanese symposium on geotechnical engineering [C]. Beijing: Tsinghua University Press, 2003. 439 -447.
[57] 沈珠江.复杂荷载下砂土液化变形的结构性模型[A].栾茂田.第五届全国土动力学学术会议论文集[C].大连:大 连理工大学出版社,1998.1-10.
[58]谢定义,张建民.饱和砂土瞬态动力学特性与机理分析[M].西安:陕西科学技术出版社,1995.1-38.
[59] 陈生水,沈珠江.复杂应力路径下无粘性土的弹塑性数值模拟[J].岩土工程学报,1995,17(2):20-28.
[60] 章根德,韦昌富.循环荷载下砂质土的本构模型[J].固体力学学报,1998,19(4):299-303.
[61] 邱长林,阎澍旺.循环荷载作用下砂土的一种普遍弹塑性模型[J].天津大学学报,1999,33(2):154-158.
[62]李相菘,邹离湘.砂土材料模拟剪胀破坏的动力本构模型[A].栾茂田.第五届全国土动力学学术会议论文集[C]. 大连:大连理工大学出版社,1998.47-52.
[63] 邹离湘,李相菘.动力荷载下砂土的动本构模型探讨[J].深圳大学学报(理工版),1999,16(1):14-19.
[64]栾茂田,郭莹,李木国,等.土工静力-动力液压三轴-扭转多功能剪切仪研发及应用[J].大连理工大学学报, 2003,43(5):670-675.
[2] Dafalias Y F, Popov E P. A model of nonlinearly hardening materials for complex loading[J]. Acta Mech, 1975, 23 (1) :173 - 192.
[3] Mroz Z, Norris V A, Zienkiewicz O C. An anisotropic, critical state model for soils subjected to cyclic loading [J].Geotechnique, 1981, 31(4): 451 -470
[4] Dafalias Y F, Herrmann L R. A boundary surface soil plasticity model[A]. Pnde G N, Zienkiewicz O C. Proc Int Symp Solisunder Cyclic Trans Load[C]. Rotterdam: Balkema Publ, 1980. 335-345.
[5] Hashiguchi K. Subloading surface model in unconventional plasticity[J]. Int J Solids Structure, 1989, 25(8) : 917 -945.
[6] Hashiguchi K. Mechanical requirement and structures of cyclic plasticity[J]. International Journal of Plasticity, 1993, 9(6): 721 -748.
[7]刘汉龙,余湘娟.土动力学与岩土地震工程研究进展[J].河海大学学报,1999,27(1):6-15.
[8]谢定义.土动力学[M].西安:西安交通大学出版社,1988.172-233.
[9] 吴世明.土动力学[M].北京:中国建筑工业出版社,2001.75-106.
[10]周健,白冰,徐建平.土动力学理论与计算[M].北京:中国建筑工业出版社,2001.91-112.
[11] Hashiguchi K. Foundamentals in constitutive equation: continuity and smoothness conditions and loading criterion [J]. Soilsand Foundations, 2000, 40(4): 155-161.
[12] Iwan W D. On a class of models for the yielding behavior of continuous and composite systems[J]. J Appl Mech, 1967 , 34(3): 612-617.
[13] Provest J H. A simple plastic theoty for frictional cohesionless soils[J]. Soil Dynamics and Eathquake Engineering, 1985,4(1): 9-17.
[14] Mroz Z, Morris V A, Zienkiewicz O C. Application of an anisotropic hardening model in the analysis of elasto-plasticdeformation of soils[J]. Geotechnique, 1979,29(4):1-34.
[15]Zienkiewiez O C.广义塑性力学和地力学的一些模型[J].应用数学与力学,1982,3(3):267-280.
[16] Dafalias Y F, Popov E P. Cyclic loading for materials with a vanishing elastic domain[J]. Nucl Eng Design, 1977, 41(2) :293-302.
[17] Dafalias Y F, Herrmann L R. A boundary surface soil plasticity model [A]. Pnde G N, Zienkiewicz O C. Proc Int SympSolis under Cyclic Trans Load[C]. Rotterdam: Balkema Publ, 1980. 335-356.
[18] Dafalias Y F. Bounding surface plasticity. Part I: Mathematical foundation and hypoplasticity [J]. Journal of EngineeringMechanics, 1986, 112(9): 966-987.
[19] Dafalias Y F, Herrmann L R. Bounding surface plasticity. Part Ⅱ: Application to isotropic cohesive soils[J]. Journal ofEngineering Mechanics, 1986, 112(12): 1263-1291.
[20] Anandarajah A, Dafalias Y F. Bounding surface plasticity. Part Ⅲ: Application to anisotropic cohesive soils [J]. Journal ofEngineering Mechanics, 1986, 112(12): 1292-1318.
[21] Desai C S, Somasundaram S. Constitutive modeling of geological materials-a general procedure[A]. Banerjee P K, ButterfieldR. Developments in Soil Mechanics and Foundation Engineering [C]. New York: Elsevier Science Pub Co, 1985.85-99.
[22] Hirai H. Anaisotropic hardening model for sand subjected to cyclic loading[A]. Cakmak A S. Soil Dynamics Liquefaction[C]. New York: Elsevier Science Pub Co, 1987. 53-67.
[23] Wang Z L. Bounding surface hypo-plasticity model for sand [J]. Journal of Engineering Mechanics, 1990, 116(5):983-1001.
[24] 郑大同,王惠昌.循环荷载作用下土的非线性应力应变模型[J].岩土工程学报,1983,5(1):65-76.
[25] 王建华.饱和软粘土动力特性的弹塑性数值模拟[D].天津:天津大学,1991.
[26]王建华,要明伦.循环应变下饱和砂(粉)土衰化动力特性研究[J].水利学报,1997,(7):24.
[27]徐干成,谢定义,郑颖人.饱和砂土循环应力应变特性的弹塑性模拟研究[J].岩土工程学报,1995,17(2):1.
[28]徐日庆,杨林德,龚晓南.土的边界面应力应变本构关系[J].同济大学学报,1997,25(1):29-33.
[29]孙吉主,周健.往复荷载作用下土体的广义塑性分析[J].岩土力学,2001,22(2):126-129.
[30]伊颖锋,施建勇,周清华.土体小应变特性研究中的边界面模型[J].岩土力学,2003,24(1):135-138.
[31]周成,沈珠江,陈铁林,等.结构性黏土的边界面砌块体模型[J].岩土力学,2003,24(3):317-321.
[32] Matsuoka H. Stress strain relationship of sand based on the mobilized plane [J]. Soils and Foundations, 1974, 14(2):1 -27.
[33] Kabilamany K, Ishihara K. Cyclic behavior of sands by multiple shear mechanism models [J]. Soil Dynamics andEaethquake Engineering, 1991, 10(2): 74-83.
[34] Provest J H. Multi mechanism elastoplastic model for soils [J]. Journal of Engineering Mechanics, 1990, 116(9):1924 - 1944.
[35] Paster M, Zienkiewicz O C, Chan A H C. Generalized plasticity and the modelling of soil behavior[J]. Int J Numer AnalMeth Geomech, 1990, 14: 151 -190.
[36] Iai S, Matsunaga Y, Kaneoka T. Strain space Plasticity model for cyclic mobility [J]. Soils and Foundations, 1992, 32(2):1 -15.
[37]刘汉龙,Susumu Iai.多重剪切机构塑性模型及其验证[A].栾茂田.第五届全国土动力学学术会议论文集[C].大 连:大连理工大学出版社,1998.70-75.
[38]李锦,栾茂田,郭莹.一种砂土动力弹塑性本构模型的探讨[A].栾茂田.第五届全国土动力学学术会议论文集 [C].大连:大连理工大学出版社,1998.76-81.
[39] 丰土根,刘汉龙,高玉峰,等.砂土多机构边界面塑性模型初探[J].岩土工程学报,2002,24(3):382-385.
[40]刘汉龙,丰土根,高玉峰,等.砂土多机构边界面塑性模型及其试验验证[J].岩土力学,2003,24(5):696-700.
[41] 方火浪.饱和砂土循环流动的三维多重机构模型[J].岩土工程学报,2002,24(3):376-381.
[42] Hashiguchi K, Ueno M. Elastoplastic constitutive laws of soils [A]. Publications committee of Ⅸ ICSMFE. ConstitutiveEquations of soils: Proc 9th ICSMFE[C]. Rotterdam: Balkema A A Publ, 1977. 73-82.
[43] Hashiguchi K. Constitutive equation of elastoplastic materials with elastic-plastic transition [J]. J Appl Mech (ASME),1981, 48(7): 297-301.
[44] Hashiguchi K. A mathematical of two surface model formulation in plasticity[J]. Int J Solids Structure, 1988, 24(10):987-1001.
[45] Hashiguchi K. Fundamental requirements and formulation of elatisoplastic constitutive equations with tangential plasticity[J].International Journal of Plasticity, 1993 , 9(5) : 525 -549.
[46] Hashiguchi K. The extended flow rule in plasticity[J]. International Journal of Plasticity, 1997, 13(1) : 37 -58.
[47] Hashiguchi K, Chen Z P. Elastoplastic constitutive equation of soils with the subloading surface and rotational hardening[J].Int J Numer Anal Meth Geomech, 1998, 22: 197 -227.
[48] Hashiguchi K, Collins I F. Stress rate-Elastic stretching relations in elastoplastic constitutive equations for soils[J]. Soils andFoundations, 2001, 41(2) : 77 -88.
[49] Hashiguchi K, Tsutsumi S. Shear band formation analysis in soils by the subloading surface model with tangential stress rateeffect[J]. International Journal of Plasticity, 2003, 19(10): 1651-1677.
[50] Chowdhury E Q, Nakai T, Tawada M, et al. A model for clay using modified stress under various loading conditions with theapplication of subloading concept[J]. Soils and Foundations, 1999, 39(6) : 103 -116.
[51] Asaoka A, Nakano M, Noda T. Superloading yield surface concept for highly structured soil behavior [J]. Soils andFoundations, 2000, 40(2): 99 - 110.
[52] 郑颖人,孔亮.塑性力学的分量理论--广义塑性力学[J].岩土工程学报,2000,22(3):269-274.
[53] 郑颖人,沈珠江,龚晓南.岩土塑性力学原理-广义塑性力学[M].北京:中国建筑工业出版社,2002.72-149.
[54] 孔亮,郑颖人,姚仰平.基于广义塑性力学的土体的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.
[55] 孔亮,郑颖人,姚仰平.基于广义塑性力学的土体的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):317-321.
[56] Kong Liang, Zheng Yingren, Yao Yangping. Subloading surface cyclic plastic model for soil based on generalized plastic mechanics [A]. Yu Yu-zhen, Akagi H. Proceeding of the Sino-Japanese symposium on geotechnical engineering [C]. Beijing: Tsinghua University Press, 2003. 439 -447.
[57] 沈珠江.复杂荷载下砂土液化变形的结构性模型[A].栾茂田.第五届全国土动力学学术会议论文集[C].大连:大 连理工大学出版社,1998.1-10.
[58]谢定义,张建民.饱和砂土瞬态动力学特性与机理分析[M].西安:陕西科学技术出版社,1995.1-38.
[59] 陈生水,沈珠江.复杂应力路径下无粘性土的弹塑性数值模拟[J].岩土工程学报,1995,17(2):20-28.
[60] 章根德,韦昌富.循环荷载下砂质土的本构模型[J].固体力学学报,1998,19(4):299-303.
[61] 邱长林,阎澍旺.循环荷载作用下砂土的一种普遍弹塑性模型[J].天津大学学报,1999,33(2):154-158.
[62]李相菘,邹离湘.砂土材料模拟剪胀破坏的动力本构模型[A].栾茂田.第五届全国土动力学学术会议论文集[C]. 大连:大连理工大学出版社,1998.47-52.
[63] 邹离湘,李相菘.动力荷载下砂土的动本构模型探讨[J].深圳大学学报(理工版),1999,16(1):14-19.
[64]栾茂田,郭莹,李木国,等.土工静力-动力液压三轴-扭转多功能剪切仪研发及应用[J].大连理工大学学报, 2003,43(5):670-675.
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