出平面荷载对各向异性半空间内圆孔的Green函数解  

Green's function solution for circular cavity in anisotropic half-space impacted by out-plane load

作　　者：许华南[1] 张剑伟 周丽维 杨在林[4] XU Huanan;ZHANG Jianwei;ZHOU Liwei;YANG Zailin(School of Resource Engineering,Longyan University,Longyan 364012,China;School of Safety Engineering,Shenyang Aerospace University,Shenyang 110000,China;Department of Logistics and Infrastructure,Longyan University,Longyan 364012,China;College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]龙岩学院资源工程学院,福建龙岩364012 [2]沈阳航空航天大学航空航天工程学院,辽宁沈阳110000 [3]龙岩学院后勤基建处,福建龙岩364012 [4]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001

出　　处：《地震工程与工程振动》2018年第5期190-197,共8页Earthquake Engineering and Engineering Dynamics

基　　金：福建省教育厅中青年教师教育科研项目(JAT160481);龙岩学院博士科研启动基金项目(LB2014012)~~

摘　　要：采用波函数展开法和复变函数法研究了出平面线源荷载对各向异性半空间内圆形孔洞的Green函数解。首先利用复变函数法构造圆形孔洞激发的含未知系数的散射场,得到介质内总的位移场和应力场。其次根据边界条件,利用Fourier积分变换推导出一系列求解未知系数的复系数代数方程组,截断有限项以控制精度,求出未知系数,进而得到Green函数解。最后通过大量算例讨论了不同参数对圆孔周边的动应力集中系数的影响规律,验证Green函数的精确性,为各向异性半空间内复杂缺陷的地震动和动力学研究提供理论基础。The methods of wave functions expansion and complex variable function are used to employ Green's function solution for circular cavity in anisotropic elastic half-space containing elliptical elastic inclusion impacted by an out-plane line source load.Firstly,complex variable function method is developed to construct scattering wave field with unknown coefficient excited by circular cavity,and consequently,total displacement and stress field are obtained.Then,according to the boundary conditions,a series of complex algebraic equations to determine the unknown coefficients are derived by Fourier integral transform,which can be solved by limited terms truncation to control precision,and the Green's function solution is then solved.Lastly,vast numerical examples are provided to discuss influence of different parameters on dynamic stress concentration factor (DSCF)around the cavity to verify accuracy of the Green's function,and the obtained results can be referenced by study on ground motion and dy- namic response of complex defects in anisotropic elastic half-space.

关 键 词：出平面线源荷载 GREEN函数 各向异性半空间 圆孔 动应力集中系数 

分 类 号：O343.4[理学—固体力学] O347.3[理学—力学]