Author(s)

N. Hasebe and J. J. Han

Abstract

Green's function for thin plate with elliptic hole under bending heat source N. Hasebe & J. J. Han Department of Civil Engineering, Nagoya Institute of Technology, Japan Abstract This paper derives the Green's function for the bending problem of a thin plate with an elliptic hole under a bending heat source. First, the complex variable method is developed for the thermoelastic problem of bending. Then an exact solution in explicit form is derived for the Green's function by using the complex variable method. Results are presented with distributions of temperature moment, heat flux moments, and bending moments along the hole edge in figures. * 1 Introduction Within the linear theory of thermoelasticity, problems of thin plates can be commonly decomposed into two groups of fundamental problems. One group is the in-plane problems in which temperature is constant across the thickness. Only in-plane displacements and membrane stresses are induced in these probl

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