|
|||||
|
|
| 二维横观各向同性厚板在空间变化热源及体力作用下的动力学响应 | |
| 引用本文： | M·伊斯兰,S·H·马利克,M·卡诺利亚,海治.二维横观各向同性厚板在空间变化热源及体力作用下的动力学响应[J].应用数学和力学,2011,32(10). |
| 作者姓名： | M·伊斯兰 S·H·马利克 M·卡诺利亚 海治 |
| 作者单位： | 1. 圣方济书院数学系,加尔各答700016,印度 2. 阿里阿赫大学数学系,加尔各答700091,印度 3. 加尔各答大学应用数学系,加尔各答700009,印度 |
| 摘 要： | 研究热源和体力作用下的横观各向同性厚板的二维问题,板的上表面无应力作用,但有规定的表面温度作用；板的下表面置于刚性基础之上,并处于绝热状态.采用Green和Naghdi提出的广义热弹性理论,通过Laplace和Fourier双重变换,在Laplace-Fourier变换域中,得到位移和温度场的控制方程.数值求解双重变换的逆变换,采用一个基于Fourier级数展开的方法,数值地求解Laplace变换的逆变换.对材料镁(Mg)进行数值计算,并用图形表示其结果.推演出各向同性材料铜(Cu)的数值结果,并用图形与横观各向同性材料镁进行比较.同时研究了体力的影响. |
| 关 键 词： | 广义热弹性理论 Green-Naghdi模型 横观各向同性材料 空间变化的热源 体力 |
Study of Dynamic Response in a Two Dimensional Transversely Isotropic Thick Plate With Spatially Varying Heat Sources and Body Forces |
|
| Mohsin Islam,Sadek Hossain Mallik,Mridula Kanoria ,Mother Teresa Sarani,Kolkata ,India.Study of Dynamic Response in a Two Dimensional Transversely Isotropic Thick Plate With Spatially Varying Heat Sources and Body Forces[J].Applied Mathematics and Mechanics,2011,32(10). | |
| Authors: | Mohsin Islam Sadek Hossain Mallik Mridula Kanoria Mother Teresa Sarani Kolkata India |
| Institution: | Mohsin Islam1,Sadek Hossain Mallik2,Mridula Kanoria3 (1.Department of Mathematics,St.Xavier's College(Evening),30,Mother Teresa Sarani(Park Street),Kolkata 700016,India,2.Department of Mathematics,Aliah University,DN-41,Sector V,Salt Lake City,Kolkata 700091,3.Department of Applied Mathematics,University of Calcutta,Kolkata 700009,India) |
| Abstract: | A two dimensional problem for a transversely isotropic thick plate having heat source and body force was studied.The upper surface of the plate was stress free with prescribed surface temperature while the lower surface of the plate rest on a rigid foundation and was thermally insulated.The study was carried out in the context of generalized thermoelasticity proposed by Green and Naghdi.The governing equations for displacement and temperature fields were obtained in Laplace-Fourier transform domain by apply... |
| Keywords: | generalized thermoelasticity Green-Naghdi model transversely isotropic material spatially varying heat source body force |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |