Green’s Function For Thin Plate With Elliptic Hole Under Bending
Heat Source
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
Keywords
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