应用数学和力学2011，Vol.32Issue(10)：1226-1240,15.DOI:10.3879/j.issn.1000-0887.2011.10.008
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
Study of Dynamic Response in a Two Dimensional Transversely Isotropic Thick Plate With Spatially Varying Heat Sources and Body Forces
M·伊斯兰 1S·H·马利克 2M·卡诺利亚 3海治3
作者信息
- 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
- 折叠
摘要
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 thermoelastici-ty proposed by Green and Naghdi. The governing equations for displacement and temperature fields were obtained in Laplace-Fourier transform domain by applying Laplace and Fourier transform techniques. The inversion of double transform had been done numerically. The numerical inversion of Laplace transform was done by using a method based on Fourier series expansion technique. Numerical computations had been done for magnesium (Mg) and the results were presented graphically. The results for an isotropic material (Cu) had been deduced numerically and presented graphically to compare with those of transversely isotropic material (Mg). The effect of body force was also studied.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Key words
generalized thermoelasticityjGreen-Naghdi model/transversely isotropic material/spatially varying heat source/body force分类
数理科学引用本文复制引用
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):1226-1240,15.
