Displacements and stresses in composite multi-layered media due to varying temperature and concentrated load  

作　　者：M.K.Ghosh M. Kanoria 

机构地区：[1]Department of Mathematics,Serampore College,Serampore,Hooghly-712 201,India [2]Department of Applied Mathematics,University of Calcutta,92 A. P. C. Road,Kolkata-700 009,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第6期811-822,共12页应用数学和力学（英文版）

摘　　要：This paper deals with the determination of the thermo-elastic displacements and stresses in a multi-layered body set up in different layers of different thickness having different elastic properties due to the application of heat and a concentrated load in the uppermost surface of the medium. Each layer is assumed to be made of homogeneous and isotropic elastic material. The relevant displacement components for each layer are taken to be axisymmetric about a line, which is perpendicular to the plane surfaces of all layers. The stress function for each layer, therefore, satisfies a single equation in absence of any body forces. The equation is then solved by integral transform technique. Analytical expressions for thermo-elastic displacements and stresses in the underlying mass and the corresponding numerical codes are constructed for any number of layers. However, the numerical comparison is made for three and four layers.This paper deals with the determination of the thermo-elastic displacements and stresses in a multi-layered body set up in different layers of different thickness having different elastic properties due to the application of heat and a concentrated load in the uppermost surface of the medium. Each layer is assumed to be made of homogeneous and isotropic elastic material. The relevant displacement components for each layer are taken to be axisymmetric about a line, which is perpendicular to the plane surfaces of all layers. The stress function for each layer, therefore, satisfies a single equation in absence of any body forces. The equation is then solved by integral transform technique. Analytical expressions for thermo-elastic displacements and stresses in the underlying mass and the corresponding numerical codes are constructed for any number of layers. However, the numerical comparison is made for three and four layers.

关 键 词：thermal stress layered body concentrated load Bessel function integral transform 

分 类 号：O343.6[理学—固体力学]