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两相饱和介质层与单相介质层应力-位移函数的传递与退化

丁伯阳 陈樟龙 徐庭

丁伯阳, 陈樟龙, 徐庭. 两相饱和介质层与单相介质层应力-位移函数的传递与退化[J]. 应用数学和力学, 2014, 35(2): 162-180. doi: 10.3879/j.issn.1000-0887.2014.02.005
引用本文: 丁伯阳, 陈樟龙, 徐庭. 两相饱和介质层与单相介质层应力-位移函数的传递与退化[J]. 应用数学和力学, 2014, 35(2): 162-180. doi: 10.3879/j.issn.1000-0887.2014.02.005
DING Bo-yang, CHEN Zhang-long, XU Ting. Degeneration and Tranfer of the Displacement-Stress Functions From Poroelastic Layered Media to Elastic Layered Media[J]. Applied Mathematics and Mechanics, 2014, 35(2): 162-180. doi: 10.3879/j.issn.1000-0887.2014.02.005
Citation: DING Bo-yang, CHEN Zhang-long, XU Ting. Degeneration and Tranfer of the Displacement-Stress Functions From Poroelastic Layered Media to Elastic Layered Media[J]. Applied Mathematics and Mechanics, 2014, 35(2): 162-180. doi: 10.3879/j.issn.1000-0887.2014.02.005

两相饱和介质层与单相介质层应力-位移函数的传递与退化

doi: 10.3879/j.issn.1000-0887.2014.02.005
基金项目: 国家自然科学基金(11172268)
详细信息
    作者简介:

    丁伯阳(1949—),男, 浙江绍兴人,教授(通讯作者. E-mail: dingboyang@hzcnc.com)

  • 中图分类号: TU435;O39

Degeneration and Tranfer of the Displacement-Stress Functions From Poroelastic Layered Media to Elastic Layered Media

Funds: The National Natural Science Foundation of China(11172268)
  • 摘要: 根据Biot孔隙弹性介质动力控制方程,利用快、慢纵波的解耦,求得满足两相饱和介质位移-应力传播的一阶微分方程组.该方程组及传递函数能退化到单相介质的位移-应力传播微分方程组.利用界面应力-位移连续条件,分析了位移-应力从两相饱和介质向单相介质传播,构建了界面过渡传递矩阵.使原有的6×6阶应力-位移传递矩阵过渡为4×6阶矩阵,能与单相介质的4×4阶应力-位移传递矩阵结合.最后,采用经典的波传播模型对比验算了结果,它们一致吻合.
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出版历程
  • 收稿日期:  2013-07-15
  • 修回日期:  2013-10-30
  • 刊出日期:  2014-02-15

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