工程科学学报，第39卷.第1期：31-38,2017年1月 Chinese Journal of Engineering,Vol.39,No.1:31-38,January 2017 DOI:10.13374/j.issn2095-9389.2017.01.004;http://journals.ustb.edu.cn 初始温度条件下全尾胶结膏体损伤本构模型 王 勇，吴爱祥)，王洪江)，王贻明”，崔亮)，靳斐)，周勃)， 沈家华3) 1)北京科技大学金属矿山高效开采与安全教有部重点实验室，北京1000832)渥太华大学土木工程学院，渥太华K1N6N5,加拿大 3)中色非洲矿业有限公司，基特韦，赞比亚 区通信作者，E-mail:wuaixiang@126.com 摘要膏体充填料到达采场初始温度不同是矿山存在的普遍现象，不同初始温度条件下膏体力学特性及应力-应变关系直 接影响到矿山采充周期及相邻采场开采时贫化指标.通过对初始温度为2、20,35和50℃的硬化膏体进行单轴抗压强度试 验，获得不同初始温度下充填体应力-应变演化曲线.根据理论推导和试验结果，建立了不同初始温度下膏体损伤本构模型， 通过本构模型参数回归，提出膏体温度-时间耦合损伤本构模型.最后，采用Comsol数值模拟软件，将温度-时间耦合损伤本 构模型嵌入solid mechanics模块，对单轴抗压试验进行数值模拟，模拟应力-应变曲线与试验结果较为吻合，验证了所提出本 构模型的可靠性. 关键词膏体；温度：应力-应变曲线；本构模型；数值模拟 分类号TD823 Damage constitutive model of cemented tailing paste under initial temperature effect WANG Yong),WU Ai-xiang,WANG Hong-jiang),WANG Yi-ming),CUl Liang?),JIN Fei),ZHOU Bo),SHEN Jia-hua 1)Key Laboratory of High-Efficient Mining and Safety of Metal Mines ofthe Ministry of Education,University of Science and Technology Beijing.Beijing 100083,China 2)Department of Civil Engineering.University Ottawa,Ottawa,KIN 6N5,Canada 3)Africa Mining PLC of China Nonferrous Metals Co.,Ld.,Kitwe,Zambia Corresponding author,E-mail:wuaixiang@126.com ABSTRACT It is a universal phenomenon for all the mines that paste-filling material arrives at stope at different initial tempera- tures.The strength properties and stress-strain relation of paste at different initial temperatures have effect on the mining-filling cycle and the dilution of adjacent stope mining.A series of uniaxial compressive strength tests were performed on hardened paste with initial temperatures of 2,20,35 and 50C to obtain the stress-strain evolution curves at different initial temperatures.The damage constitu- tive models of paste at different initial temperatures were established on the basis of theoretical derivation and experimental results.A temperature-time coupling damage constitutive model was further proposed according to parameter regression of the established mod- els.Finally,the temperature-time coupling damage constitutive model was embed into the solid mechanics module of Comsol software, which is for uniaxial compressive experiment simulation.The simulation results show good accordance with the experimental stress- strain curves,verifying the reliability of the proposed constitutive model. KEY WORDS paste;temperature;stress-strain curves;constitutive models;numerical simulation 收稿日期：2016-05-05 基金项目：北京市科委项目(Z161100001216002):国家自然科学基金资助项目(51574013,51374034,51674012)：“十二五”国家科技支撑计 划课题(2013BAB02B05)工程科学学报,第 39 卷,第 1 期:31鄄鄄38,2017 年 1 月 Chinese Journal of Engineering, Vol. 39, No. 1: 31鄄鄄38, January 2017 DOI: 10. 13374 / j. issn2095鄄鄄9389. 2017. 01. 004; http: / / journals. ustb. edu. cn 初始温度条件下全尾胶结膏体损伤本构模型 王 勇1) , 吴爱祥1) 苣 , 王洪江1) , 王贻明1) , 崔 亮2) , 靳 斐1) , 周 勃1) , 沈家华3) 1) 北京科技大学金属矿山高效开采与安全教育部重点实验室, 北京 100083 2) 渥太华大学土木工程学院, 渥太华 K1N 6N5, 加拿大 3) 中色非洲矿业有限公司, 基特韦, 赞比亚 苣 通信作者, E鄄mail: wuaixiang@ 126. com 收稿日期: 2016鄄鄄05鄄鄄05 基金项目: 北京市科委项目(Z161100001216002);国家自然科学基金资助项目(51574013, 51374034, 51674012);“十二五冶国家科技支撑计 划课题(2013BAB02B05) 摘 要 膏体充填料到达采场初始温度不同是矿山存在的普遍现象,不同初始温度条件下膏体力学特性及应力鄄鄄应变关系直 接影响到矿山采充周期及相邻采场开采时贫化指标. 通过对初始温度为 2、20、35 和 50 益 的硬化膏体进行单轴抗压强度试 验,获得不同初始温度下充填体应力鄄鄄应变演化曲线. 根据理论推导和试验结果,建立了不同初始温度下膏体损伤本构模型, 通过本构模型参数回归,提出膏体温度鄄鄄时间耦合损伤本构模型. 最后,采用 Comsol 数值模拟软件,将温度鄄鄄时间耦合损伤本 构模型嵌入 solid mechanics 模块,对单轴抗压试验进行数值模拟,模拟应力鄄鄄应变曲线与试验结果较为吻合,验证了所提出本 构模型的可靠性. 关键词 膏体; 温度; 应力鄄鄄应变曲线; 本构模型; 数值模拟 分类号 TD823 Damage constitutive model of cemented tailing paste under initial temperature effect WANG Yong 1) , WU Ai鄄xiang 1) 苣 , WANG Hong鄄jiang 1) , WANG Yi鄄ming 1) , CUI Liang 2) , JIN Fei 1) , ZHOU Bo 1) , SHEN Jia鄄hua 3) 1) Key Laboratory of High鄄Efficient Mining and Safety of Metal Mines ofthe Ministry of Education, University of Science and Technology Beijing, Beijing 100083, China 2) Department of Civil Engineering, University Ottawa, Ottawa, K1N 6N5, Canada 3) Africa Mining PLC of China Nonferrous Metals Co. , Ltd. , Kitwe, Zambia 苣 Corresponding author, E鄄mail: wuaixiang@ 126. com ABSTRACT It is a universal phenomenon for all the mines that paste鄄filling material arrives at stope at different initial tempera鄄 tures. The strength properties and stress鄄鄄strain relation of paste at different initial temperatures have effect on the mining鄄鄄filling cycle and the dilution of adjacent stope mining. A series of uniaxial compressive strength tests were performed on hardened paste with initial temperatures of 2, 20, 35 and 50 益 to obtain the stress鄄鄄strain evolution curves at different initial temperatures. The damage constitu鄄 tive models of paste at different initial temperatures were established on the basis of theoretical derivation and experimental results. A temperature鄄鄄time coupling damage constitutive model was further proposed according to parameter regression of the established mod鄄 els. Finally, the temperature鄄鄄time coupling damage constitutive model was embed into the solid mechanics module of Comsol software, which is for uniaxial compressive experiment simulation. The simulation results show good accordance with the experimental stress鄄鄄 strain curves, verifying the reliability of the proposed constitutive model. KEY WORDS paste; temperature; stress鄄鄄strain curves; constitutive models; numerical simulation