一种根据膨胀位移计算橡胶圆筒弹性体膨胀内压应力的算法
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摘要
根据薄膜壳体的无矩特性,提出了分析不同注水时刻,膨润土膨胀施加给橡胶膜的膨胀力的算法。该方法从橡胶膜的膨胀位移分析橡胶膜膨胀内压应力入手,根据橡胶膜微元体三维弹性状态下的柱坐标形式的物理方程和几何方程,以及橡胶膜圆筒横截面处截面的内力平衡方程,推导了橡胶膜膨胀内压应力在不同时刻和不同位置处的计算公式。应用编制的HSSA-EXCEL程序,计算分析了在不同注水时刻,膨润土的膨胀所施加给橡胶膜的膨胀内压应力。计算结果表明:与注水端的位置较近处橡胶膜的膨胀内压应力较大;与注水端的位置较远处橡胶膜的膨胀内压应力较小。膨胀内压应力随着时间不断增长。
According to the fact that the membrane shell develops no moment,this paper proposes a program to compute the swell pressure on the circular rubber barrel at different time due to bentonite column swelling. The basic idea is to analyze the swell pressure from the circular rubber barrel swell deformation. According to the stress-strain constitutive law,micro rubber element geometric equation in Cylindrical coordinate system and the internal force equilibrium equation on the circular rubber barrel cross-section,the inside pressure of circular rubber barrel at different time and different position can be derived. Moreover,HSSA-EXCEL is employed to calculate the inside pressure of circular rubber barrel,showing that the profile near the water injecting position has larger inside pressure and the inside pressure increases with time.
According to the fact that the membrane shell develops no moment,this paper proposes a program to compute the swell pressure on the circular rubber barrel at different time due to bentonite column swelling. The basic idea is to analyze the swell pressure from the circular rubber barrel swell deformation. According to the stress-strain constitutive law,micro rubber element geometric equation in Cylindrical coordinate system and the internal force equilibrium equation on the circular rubber barrel cross-section,the inside pressure of circular rubber barrel at different time and different position can be derived. Moreover,HSSA-EXCEL is employed to calculate the inside pressure of circular rubber barrel,showing that the profile near the water injecting position has larger inside pressure and the inside pressure increases with time.
引文
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[2]Richards S J,Weeks L V.Capillary conductivity values from moisture yield and tension measurements in soil columns[C].Soil Science Society of America Proceedings,1953,17(3):206―209.
[3]Weeks L V,Richards S J.Soil-water properties computed from transient flow data[C].Soil Science Society of America Proceedings,1967,31(6):721―725.
[4]Welleling J,Wit K E.An infiltration method for determination of the capillary conductivity of undisturbed soil cores[C].International Association of Scientific Hydrology,Publication No82,1968:223―234.
[5]Vachaud G.Analyse des profiles hydriques et détermination de K(θ)[R].Bulletin du BRGM.(deuxième série),Section III,1969,(4):101―105.
[6]Touma J,Vauclin M.Experimental and numerical analysis of two-phase infiltration in a partially saturated soil[J].Transport in Porous Media,2005,1(1):27―55.
[7]Hamilton JM,Daniel DE,Olson RE.Measurement of hydraulic conductivity of partially saturated soils[C].American Society for Testing and Materials,Special Technical Publications746,Philadelphia,1981:182―196.
[8]Daniel DE.Measurement of hydraulic conductivity of unsaturated soils with thermocouple psychrometers[J].Soil Science Society of America Journal,1982,46(6):1125―1129.
[9]Daniel DE.Permeability test for unsaturated soil[J].Geotechnical Testing Journal,1983,6(2):81―86.
[10]Vicol T.Comportement hydraulique et mécanique d’un sol fin non sature:application a la modelisation[D].Thèse de doctorat,Ecole Nationale des Ponts et Chaussées,Paris,1990.
[11]黄文熙.拱坝、壳体及平板的结构分析[C]//黄文熙.水工建设中的结构力学与岩土力学问题.北京:水利电力出版社,1984:43―62.Huang Wenxi.Structural analysis of arch dam,shell and plate[C]//Huang Wenxi.Structural analysis and geotechnical problems in hydraulic structure construction.Beijing:Hydraulic and Electric Power Press,1984:43―62.(in Chinese)
[12]刘人怀.板壳力学[M].北京:机械工业出版社,1990.Liu Renhuai.Shell mechanics[M].Beijing:China Machine Press,1990.(in Chinese)
[13]夏志皋,江理平,唐寿高.弹性力学及其数值方法[M].上海:同济大学出版社,1997.Xia Zhigao,Jiang Liping,Tang Shougao.Elastic mechanics and its numerical analysis method[M].Shanghai:Tongji University Press,1997.(in Chinese)
[14]张铜生,张富德.简明有限元法及其应用[M].北京:地震出版社,1990.Zhang Tongsheng,Zhang Fude.Simplified FEM method and its application[M].Beijing:Seismological Press,1990.(in Chinese)
[15]黄莉,宋显辉,钱红兵.薄膜弹性模量的若干测试方法及其适用性分析[J].实验技术与管理,2003,20(2):49―59.Huang Li,Song Xianhui,Qian Hongbing.Several methods to test the elastic modulous of membrane and their applicability analysis[J].Experiment Technique and Management,2003,20(2):49―59.(in Chinese)
[16]王洪彬,王丽南,朗成.传感技术在拉伸法测杨式模量中的应用[J].大学物理实验,2003,16(2):52―54.Wang Hongbin,Wang Linan,Lang Cheng.Sensing technology in stretching method to measure Yang modulus[J].University Physics Experiment,2003,16(2):52―54.(in Chinese)
[17]黄槐仁.拉伸法测杨氏模量实验方法的改进[J].琼州大学学报,2005,12(2):12―13.Huang Huairen.Improvement in stretching method to measure Yang modulus[J].Journal of Qiongzhou University,2005,12(2):12―13.(in Chinese)
[18]Sun De’an,Cui Hongbin,Sun Wenjing.Swelling of compacted sand-bentonite mixtures[J].Applied Clay Science,2009,43(3-4):485―492.
[19]Komine H,Ogata N.Prediction method for swelling characteristics of bentonite for nuclear waste disposal[C].The7th International Conference Proceedings on Radioactive Waste Management and Environmental Remediation,1999.
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