軸対称加熱を受ける無限円柱の一般化された熱弾性問題の解析

概要

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This work considers the one-dimensional thermoelastic problem in an infinitely long cylinder with free surface subjected to a symmetrically instantaneous heating on the basis of the generalized thermoelastic theories, i.e. the Lord-Shulman and the Green-Lindsay theories. The combined forms of the governing equations of both theories are used. The solution in the Laplace transform domain is derived analytically. In order to obtain the temperature and the thermal stress fields in the cylinder not only for short time but also for long time periods, the inverse Laplace transform is performed by use of numerical technique. The results based on the Lord-Shulman theory are shown graphically. The effects of the thermomechanical coupling and the relaxation time on the temperature and thermal stress are discussed.
一般社団法人日本機械学会の論文
2000-08-25