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

作     者：M.K.Ghosh M. Kanoria 

作者机构：Department of MathematicsSerampore CollegeSeramporeHooghly-712 201India Department of Applied MathematicsUniversity of Calcutta92 A. P. C. RoadKolkata-700 009India 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2007年第28卷第6期

页      面：811-822页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：thermal stress layered body concentrated load Bessel function integral transform 

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.