Abstract
The present paper deals with the influence of thermomechanical coupling on the maximum thermal stress in a one-dimensional plate in detail. Investigations were done by varying the factors related to the maximum thermal stress ratio. The factors examined were the coupling parameter, Biot's number and Poisson's ratio. Though close form solutions were obtained for a plate heated on its both surfaces, the numerical analysis was performed for a plate heated on one surface.
The results obtained are summarized as follows:
(1) The rate of increase of the maximum thermal stress ratio for the coupling parameter tends to decrease gradually.
(2) The maximum thermal stress ratio is largest when Biot's number at the unheated surface side is 0 and that at the heated surface side is nearly 4.
(3) The maximum thermal stress ratio increases almost linearly with the decrease of Poisson's ratio.
The above maximum thermal stress ratio is the quantity defined by |(σδmax-σ0max)/σ0max|×100 (%), where σδmax and σ0max are coupled and uncoupled maximum thermal stress, respectively.
