黏性流体与热弹性微极蜂窝结构介质界面上受倾斜荷载作用时的弹性动力分析  

Elastodynamic Analysis at an Interface of Viscous Fluid/Thermoelastic Micropolar Honeycomb Medium due to Inclined Load

作　　者：R·库玛 R·R·古泊塔 黄绍红(译) 张禄坤(校) 

机构地区：[1]库鲁克西察大学数学系,库鲁克西察136119,印度 [2]不详

出　　处：《应用数学和力学》2009年第3期333-344,共12页Applied Mathematics and Mechanics

摘　　要：研究倾斜荷载作用在黏性流体与热弹性微极蜂窝结构固体界面上时,荷载倾斜角的影响.假设倾斜荷载是法向荷载和切向荷载的线性组合.为求解该问题,对时间变量进行Laplace变换,对空间变量进行Fourier变换.通过引入势函数,获得了变换域中应力、温度分布和压力的表达式.利用数值逆变换技术,求得问题的物理解.同时,得到了频域中的表达式,以及变量适当变化时稳态情况下的表达式.用图形显示不同荷载源和荷载倾角变化时的响应.并且讨论了一些特殊情况.The effect of angle of inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load was assumed to be a linear combination of normal load and tangential load. The Laplace transforin with respect to time variable and Fourier transform with respect to space variable were applied to solve the problem. The expressions in transformed domain of stresses, temperature distribution and pressures were obtained by introducing potential flmctions. The numerical inversion technique was used to obtain the solution in the physical domain. The expressions in frequency domain and for steady state situation were also obtained with the appropriate change of variables. Graphical representation due to the response of different sources and change of angle of inclination were shown. Some particular cases were also discussed.

关 键 词：黏性流体 热弹性微极蜂窝结构材料 倾斜荷载 时谐 稳定态 

分 类 号：O343.8[理学—固体力学] O343[理学—力学]