伴有排水的两相饱和介质动力问题的LAMB积分公式  

Lamb's Integral Formulas of Two-Phase Saturated Medium for Soil Dynamic Problems With Drainage

作　　者：丁伯阳[1] 党改红[2] 袁金华[1] 

机构地区：[1]浙江工业大学减灾防护工程研究所,杭州310014 [2]浙江农林大学土木工程系,杭州311300

出　　处：《应用数学和力学》2010年第9期1066-1074,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10572129)

摘　　要：饱和土在动力作用下伴有排水的反应是工程中常见的现象.由于饱和土以两相饱和介质模拟,在已经求得的集中力作用下,两相饱和介质基本解Green函数和三项流相Green函数基础上,由Betti定理出发,推出排水问题的Lamb积分公式和应力公式,并代入相关参数,通过计算得到了中心扩张源问题的位移场、排水状态、孔隙压力等解答.最后给出了当两相介质蜕化为单相介质后,与经典解答比较的结果.It＇s an ordinary phenomenon to vibration response with drainage when the dynamic force acts upon the saturated soil in the project site.The saturated soil was simulated with the two-phase saturated medium in theory,the Lamb＇s integral formulas（representative theorem） with drainage and the stress formulas on the two-phase saturated medium had been shown based on Biot＇s equation and Betti＇s theorem（reciprocal theorem）.According to the basic solution of Green＇s function and three items of Green＇s function on the flow-phase of the two-phase saturated medium subjected to a concentrated force,the displacement field with drainage,the magnitude of drainage and the pore pressure of the center explosion source and so on were computed.Moreover,the comparative results of classical Sharpe＇s solutions and calculated solutions that the two-phase saturated medium decays to the single-phase medium had giverout.A good agreement can be observed from the figures.

关 键 词：爆炸场 排水 动力反应 Lamb积分 

分 类 号：O39[理学—工程力学] TU435[理学—力学]