Generalized thermoelasticity for an infinite body with a circular cylindrical hole.

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  • 円柱穴を有する無限体の一般化された熱弾性問題
  • エンチュウ アナ オ ユウスル ムゲンタイ ノ イッパンカサレタ ネツ ダンセ

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Abstract

A one-dimensional generalized thermoelasticity is presented based on Lord and Shulman's Theory which involves one relaxation time of the thermoelastic process. This theory has been developed in an attempt to eliminate the paradox of an infinite velocity of thermoelastic propagation inherent in the classical one. The analytical object of this paper is an infinite body with a circular cylindrical hole. The boundary condition is that a constant heat flux is flowing into the infinite body so that the displacement at a circular cylindrical hole is constrained. An approximate analysis for short times is carried out because it is very difficult to obtain an exact solution. The numerical results of the effect of the relaxation time on displacement, temperature and stress distributions are shown.

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